GCF of 5347/627, 6252/371
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5347/627, 6252/371 i.e 1/232617 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5347/627, 6252/371.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 5347/627,6252/371?
Given fractions are 5347/627,6252/371
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 5347/627,6252/371, numerators are 5347,6252
Denominators are 627,371
The GCF of 5347,6252 is 1 .
LCM of 627,371 is 232617.
The greatest common factor of 5347/627,6252/371 = [GCF of 5347,6252]/[LCM of 627,371]= 1/232617
Therefore, the GCF of 5347/627,6252/371 is 1/232617.
To find the highest common factor of 5347,6252, we have to find the factors of both numbers and list the highest common factor.
The factors of 5347 are 1, 5347
The factors of 6252 are 1, 2, 3, 4, 6, 12, 521, 1042, 1563, 2084, 3126, 6252
The HCF of 5347,6252 is 1.
Lets's calculate GCF of 5347,6252
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5347,6252 By Matching Biggest Common Factor Method
Now, list down the factors of 5347
:1,5347
Now, list down the factors of 6252
:1,2,3,4,6,12,521,1042,1563,2084,3126,6252
Greatest Common Factor
We found the factors 5347,6252 . The biggest common factor number is the GCF number.
So the greatest common factor 5347,6252 is 1.
Lets's calculate LCM of 627,371
Given numbers has no common factors except 1. So, there LCM is their product i.e 232617
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/232617
Therefore, the GCF of Fractions 5347/627,6252/371 is 1/232617
Least Common Multiple of 627,371 with GCF Formula
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 627,371 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(627,371) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(627,371) x common factors =1 x 1 = 1
LCM(627,371) = ( 627 × 371 ) / 1
LCM(627,371) = 232617 / 1
LCM(627,371) = 232617
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5347/627, 6252/371
1. What is the HCF of 5347,6252?
The HCF of 5347,6252 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 5347/627, 6252/371?
Answer: GCF of Numerators as per given numbers 5347/627, 6252/371 is
GCF of Numerators i.e. for 5347,6252 is 1
LCM of denominators i.e. for 627,371 is 232617.
Thus, GCF of Fractions is 1/232617.Finally, GCF of Fractions for 5347/627, 6252/371 is 1/232617.