Use our free GCF of Fractions Calculator tool to compute the GCF of 87/787, 102/824, 354/938 i.e 3/304140872 easily. The following is the detailed procedure to determine the greatest common factor of fractions 87/787, 102/824, 354/938.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 87/787,102/824,354/938
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 87/787,102/824,354/938, numerators are 87,102,354
Denominators are 787,824,938
The GCF of 87,102,354 is 3 .
LCM of 787,824,938 is 304140872.
The greatest common factor of 87/787,102/824,354/938 = [GCF of 87,102,354]/[LCM of 787,824,938]= 3/304140872
Therefore, the GCF of 87/787,102/824,354/938 is 3/304140872.
To find the highest common factor of 87,102,354, we have to find the factors of both numbers and list the highest common factor.
The factors of 87 are 1, 3, 29, 87
The factors of 102 are 1, 2, 3, 6, 17, 34, 51, 102
The factors of 354 are 1, 2, 3, 6, 59, 118, 177, 354
The HCF of 87,102,354 is 3.
Lets's calculate GCF of 87,102,354
3 | 87, 102, 354 |
29, 34, 118 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 87
:1,3,29,87
Now, list down the factors of 102
:1,2,3,6,17,34,51,102
Now, list down the factors of 354
:1,2,3,6,59,118,177,354
Greatest Common Factor
We found the factors 87,102,354 . The biggest common factor number is the GCF number.
So the greatest common factor 87,102,354 is 3.
Lets's calculate LCM of 787,824,938
2 | 787, 824, 938 |
787, 412, 469 |
∴ So the LCM of the given numbers is 2 x 787 x 412 x 469 = 304140872
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/304140872
Therefore, the GCF of Fractions 87/787,102/824,354/938 is 3/304140872
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 787,824,938 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(787,824,938) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(787,824,938) x common factors =1 x 2 = 2
LCM(787,824,938) = ( 787 × 824 × 938 ) / 2
LCM(787,824,938) = 608281744 / 2
LCM(787,824,938) = 304140872
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 87,102,354?
The HCF of 87,102,354 is 3
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 87/787, 102/824, 354/938?
Answer: GCF of Numerators as per given numbers 87/787, 102/824, 354/938 is
GCF of Numerators i.e. for 87,102,354 is 3
LCM of denominators i.e. for 787,824,938 is 304140872.
Thus, GCF of Fractions is 3/304140872.Finally, GCF of Fractions for 87/787, 102/824, 354/938 is 3/304140872.