Use our free GCF of Fractions Calculator tool to compute the GCF of 156/782, 767/656 i.e 13/256496 easily. The following is the detailed procedure to determine the greatest common factor of fractions 156/782, 767/656.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 156/782,767/656
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 156/782,767/656, numerators are 156,767
Denominators are 782,656
The GCF of 156,767 is 13 .
LCM of 782,656 is 256496.
The greatest common factor of 156/782,767/656 = [GCF of 156,767]/[LCM of 782,656]= 13/256496
Therefore, the GCF of 156/782,767/656 is 13/256496.
To find the highest common factor of 156,767, we have to find the factors of both numbers and list the highest common factor.
The factors of 156 are 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
The factors of 767 are 1, 13, 59, 767
The HCF of 156,767 is 13.
Lets's calculate GCF of 156,767
13 | 156, 767 |
12, 59 |
∴ So the GCF of the given numbers is 13 = 13
Now, list down the factors of 156
:1,2,3,4,6,12,13,26,39,52,78,156
Now, list down the factors of 767
:1,13,59,767
Greatest Common Factor
We found the factors 156,767 . The biggest common factor number is the GCF number.
So the greatest common factor 156,767 is 13.
Lets's calculate LCM of 782,656
2 | 782, 656 |
391, 328 |
∴ So the LCM of the given numbers is 2 x 391 x 328 = 256496
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/256496
Therefore, the GCF of Fractions 156/782,767/656 is 13/256496
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 782,656 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(782,656) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(782,656) x common factors =2 x 1 = 2
LCM(782,656) = ( 782 × 656 ) / 2
LCM(782,656) = 512992 / 2
LCM(782,656) = 256496
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 156,767?
The HCF of 156,767 is 13
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 156/782, 767/656?
Answer: GCF of Numerators as per given numbers 156/782, 767/656 is
GCF of Numerators i.e. for 156,767 is 13
LCM of denominators i.e. for 782,656 is 256496.
Thus, GCF of Fractions is 13/256496.Finally, GCF of Fractions for 156/782, 767/656 is 13/256496.