Chemistry Conversion
Chemistry

Tutor: None Selected  Time limit: 1 Day 
A block of metal measuring 3.0cm x 4.0cm x 5.0 cm has a mass of 470.0g
3cm2+1x4cx4c,470g
Add 1 to 2 to get 3.
3cm3x4cx4c,470g
Add 1 to 1 to get 2.
3c2+1mx4mx4m,470g
Add 1 to 2 to get 3.
3c3mx4mx4m,470g
Add 5 to 4 to get 9.
3cmx9cmcm,470g
Combine all similar variables in the expression.
3m3c3x9,470g
Arrange the variables alphabetically within the expression 3m3c3x9. This is the standard way of writing an expression.
3c3m3x9,470g
Since 3c3m3x9,470g contain both numbers and variables, there are two steps to find the GCF (HCF). Find GCF for the numeric part then find GCF for the variable part.
Steps to find the GCF for 3c3m3x9,470g
1: Find the GCF for the numerical part 3,470
2: Find the GCF for the variable part c3,m3,x9,g
3: Multiply the values together
Find the common factors for the numerical part:
3,470
There are no factors for 3.
No factors
There are no factors for 470.
3=No factors
470=No factors
The common factors for 3,470 are
GCFNumerical=1
Next, find the common factors for the variable part:
c3,m3,x9,g
The factors for c3 are c⋅c⋅c.
c⋅c⋅c
The factors for m3 are m⋅m⋅m.
m⋅m⋅m
The factors for x9 are x⋅x⋅x⋅x⋅x⋅x⋅x⋅x⋅x.
x⋅x⋅x⋅x⋅x⋅x⋅x⋅x⋅x
The factor for g is g itself.
g
List all the factors for c3,m3,x9,g to find the common factors.
c3=c⋅c⋅c
m3=m⋅m⋅m
x9=x⋅x⋅x⋅x⋅x⋅x⋅x⋅x⋅x
g=g
The common factor for the variables c3,m3,x9,g is 1.
1
The GCF for the variable part is
GCFVariable=
Multiply the GCF of the numerical part 1 and the GCF of the variable part
1 Answer.
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