Use our free GCF of Fractions Calculator tool to compute the GCF of 91/51, 708/40, 537/682 i.e 1/695640 easily. The following is the detailed procedure to determine the greatest common factor of fractions 91/51, 708/40, 537/682.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 91/51,708/40,537/682
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 91/51,708/40,537/682, numerators are 91,708,537
Denominators are 51,40,682
The GCF of 91,708,537 is 1 .
LCM of 51,40,682 is 695640.
The greatest common factor of 91/51,708/40,537/682 = [GCF of 91,708,537]/[LCM of 51,40,682]= 1/695640
Therefore, the GCF of 91/51,708/40,537/682 is 1/695640.
To find the highest common factor of 91,708,537, we have to find the factors of both numbers and list the highest common factor.
The factors of 91 are 1, 7, 13, 91
The factors of 708 are 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
The factors of 537 are 1, 3, 179, 537
The HCF of 91,708,537 is 1.
Lets's calculate GCF of 91,708,537
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 91
:1,7,13,91
Now, list down the factors of 708
:1,2,3,4,6,12,59,118,177,236,354,708
Now, list down the factors of 537
:1,3,179,537
Greatest Common Factor
We found the factors 91,708,537 . The biggest common factor number is the GCF number.
So the greatest common factor 91,708,537 is 1.
Lets's calculate LCM of 51,40,682
2 | 51, 40, 682 |
51, 20, 341 |
∴ So the LCM of the given numbers is 2 x 51 x 20 x 341 = 695640
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/695640
Therefore, the GCF of Fractions 91/51,708/40,537/682 is 1/695640
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 51,40,682 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(51,40,682) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(51,40,682) x common factors =1 x 2 = 2
LCM(51,40,682) = ( 51 × 40 × 682 ) / 2
LCM(51,40,682) = 1391280 / 2
LCM(51,40,682) = 695640
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 91,708,537?
The HCF of 91,708,537 is 1
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 91/51, 708/40, 537/682?
Answer: GCF of Numerators as per given numbers 91/51, 708/40, 537/682 is
GCF of Numerators i.e. for 91,708,537 is 1
LCM of denominators i.e. for 51,40,682 is 695640.
Thus, GCF of Fractions is 1/695640.Finally, GCF of Fractions for 91/51, 708/40, 537/682 is 1/695640.