Use our free GCF of Fractions Calculator tool to compute the GCF of 364/976, 917/724 i.e 7/176656 easily. The following is the detailed procedure to determine the greatest common factor of fractions 364/976, 917/724.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 364/976,917/724
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 364/976,917/724, numerators are 364,917
Denominators are 976,724
The GCF of 364,917 is 7 .
LCM of 976,724 is 176656.
The greatest common factor of 364/976,917/724 = [GCF of 364,917]/[LCM of 976,724]= 7/176656
Therefore, the GCF of 364/976,917/724 is 7/176656.
To find the highest common factor of 364,917, we have to find the factors of both numbers and list the highest common factor.
The factors of 364 are 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
The factors of 917 are 1, 7, 131, 917
The HCF of 364,917 is 7.
Lets's calculate GCF of 364,917
7 | 364, 917 |
52, 131 |
∴ So the GCF of the given numbers is 7 = 7
Now, list down the factors of 364
:1,2,4,7,13,14,26,28,52,91,182,364
Now, list down the factors of 917
:1,7,131,917
Greatest Common Factor
We found the factors 364,917 . The biggest common factor number is the GCF number.
So the greatest common factor 364,917 is 7.
Lets's calculate LCM of 976,724
2 | 976, 724 |
2 | 488, 362 |
244, 181 |
∴ So the LCM of the given numbers is 2 x 2 x 244 x 181 = 176656
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/176656
Therefore, the GCF of Fractions 364/976,917/724 is 7/176656
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 976,724 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(976,724) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(976,724) x common factors =4 x 1 = 4
LCM(976,724) = ( 976 × 724 ) / 4
LCM(976,724) = 706624 / 4
LCM(976,724) = 176656
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 364,917?
The HCF of 364,917 is 7
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 364/976, 917/724?
Answer: GCF of Numerators as per given numbers 364/976, 917/724 is
GCF of Numerators i.e. for 364,917 is 7
LCM of denominators i.e. for 976,724 is 176656.
Thus, GCF of Fractions is 7/176656.Finally, GCF of Fractions for 364/976, 917/724 is 7/176656.