Use our free GCF of Fractions Calculator tool to compute the GCF of 910/624, 5237/2114 i.e 1/659568 easily. The following is the detailed procedure to determine the greatest common factor of fractions 910/624, 5237/2114.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 910/624,5237/2114
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 910/624,5237/2114, numerators are 910,5237
Denominators are 624,2114
The GCF of 910,5237 is 1 .
LCM of 624,2114 is 659568.
The greatest common factor of 910/624,5237/2114 = [GCF of 910,5237]/[LCM of 624,2114]= 1/659568
Therefore, the GCF of 910/624,5237/2114 is 1/659568.
To find the highest common factor of 910,5237, we have to find the factors of both numbers and list the highest common factor.
The factors of 910 are 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
The factors of 5237 are 1, 5237
The HCF of 910,5237 is 1.
Lets's calculate GCF of 910,5237
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 910
:1,2,5,7,10,13,14,26,35,65,70,91,130,182,455,910
Now, list down the factors of 5237
:1,5237
Greatest Common Factor
We found the factors 910,5237 . The biggest common factor number is the GCF number.
So the greatest common factor 910,5237 is 1.
Lets's calculate LCM of 624,2114
2 | 624, 2114 |
312, 1057 |
∴ So the LCM of the given numbers is 2 x 312 x 1057 = 659568
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/659568
Therefore, the GCF of Fractions 910/624,5237/2114 is 1/659568
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 624,2114 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(624,2114) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(624,2114) x common factors =2 x 1 = 2
LCM(624,2114) = ( 624 × 2114 ) / 2
LCM(624,2114) = 1319136 / 2
LCM(624,2114) = 659568
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 910,5237?
The HCF of 910,5237 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 910/624, 5237/2114?
Answer: GCF of Numerators as per given numbers 910/624, 5237/2114 is
GCF of Numerators i.e. for 910,5237 is 1
LCM of denominators i.e. for 624,2114 is 659568.
Thus, GCF of Fractions is 1/659568.Finally, GCF of Fractions for 910/624, 5237/2114 is 1/659568.