Use our free GCF of Fractions Calculator tool to compute the GCF of 917/44, 634/1379 i.e 1/60676 easily. The following is the detailed procedure to determine the greatest common factor of fractions 917/44, 634/1379.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 917/44,634/1379
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 917/44,634/1379, numerators are 917,634
Denominators are 44,1379
The GCF of 917,634 is 1 .
LCM of 44,1379 is 60676.
The greatest common factor of 917/44,634/1379 = [GCF of 917,634]/[LCM of 44,1379]= 1/60676
Therefore, the GCF of 917/44,634/1379 is 1/60676.
To find the highest common factor of 917,634, we have to find the factors of both numbers and list the highest common factor.
The factors of 917 are 1, 7, 131, 917
The factors of 634 are 1, 2, 317, 634
The HCF of 917,634 is 1.
Lets's calculate GCF of 917,634
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 917
:1,7,131,917
Now, list down the factors of 634
:1,2,317,634
Greatest Common Factor
We found the factors 917,634 . The biggest common factor number is the GCF number.
So the greatest common factor 917,634 is 1.
Lets's calculate LCM of 44,1379
Given numbers has no common factors except 1. So, there LCM is their product i.e 60676
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/60676
Therefore, the GCF of Fractions 917/44,634/1379 is 1/60676
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 44,1379 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(44,1379) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(44,1379) x common factors =1 x 1 = 1
LCM(44,1379) = ( 44 × 1379 ) / 1
LCM(44,1379) = 60676 / 1
LCM(44,1379) = 60676
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 917,634?
The HCF of 917,634 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 917/44, 634/1379?
Answer: GCF of Numerators as per given numbers 917/44, 634/1379 is
GCF of Numerators i.e. for 917,634 is 1
LCM of denominators i.e. for 44,1379 is 60676.
Thus, GCF of Fractions is 1/60676.Finally, GCF of Fractions for 917/44, 634/1379 is 1/60676.