Use our free GCF of Fractions Calculator tool to compute the GCF of 724/132, 630/170 i.e 2/11220 easily. The following is the detailed procedure to determine the greatest common factor of fractions 724/132, 630/170.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 724/132,630/170
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 724/132,630/170, numerators are 724,630
Denominators are 132,170
The GCF of 724,630 is 2 .
LCM of 132,170 is 11220.
The greatest common factor of 724/132,630/170 = [GCF of 724,630]/[LCM of 132,170]= 2/11220
Therefore, the GCF of 724/132,630/170 is 2/11220.
To find the highest common factor of 724,630, we have to find the factors of both numbers and list the highest common factor.
The factors of 724 are 1, 2, 4, 181, 362, 724
The factors of 630 are 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
The HCF of 724,630 is 2.
Lets's calculate GCF of 724,630
2 | 724, 630 |
362, 315 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 724
:1,2,4,181,362,724
Now, list down the factors of 630
:1,2,3,5,6,7,9,10,14,15,18,21,30,35,42,45,63,70,90,105,126,210,315,630
Greatest Common Factor
We found the factors 724,630 . The biggest common factor number is the GCF number.
So the greatest common factor 724,630 is 2.
Lets's calculate LCM of 132,170
2 | 132, 170 |
66, 85 |
∴ So the LCM of the given numbers is 2 x 66 x 85 = 11220
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/11220
Therefore, the GCF of Fractions 724/132,630/170 is 2/11220
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 132,170 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(132,170) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(132,170) x common factors =2 x 1 = 2
LCM(132,170) = ( 132 × 170 ) / 2
LCM(132,170) = 22440 / 2
LCM(132,170) = 11220
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 724,630?
The HCF of 724,630 is 2
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 724/132, 630/170?
Answer: GCF of Numerators as per given numbers 724/132, 630/170 is
GCF of Numerators i.e. for 724,630 is 2
LCM of denominators i.e. for 132,170 is 11220.
Thus, GCF of Fractions is 2/11220.Finally, GCF of Fractions for 724/132, 630/170 is 2/11220.