GCF of 4837/664, 5931/938
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4837/664, 5931/938 i.e 1/311416 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4837/664, 5931/938.
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 4837/664,5931/938?
Given fractions are 4837/664,5931/938
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 4837/664,5931/938, numerators are 4837,5931
Denominators are 664,938
The GCF of 4837,5931 is 1 .
LCM of 664,938 is 311416.
The greatest common factor of 4837/664,5931/938 = [GCF of 4837,5931]/[LCM of 664,938]= 1/311416
Therefore, the GCF of 4837/664,5931/938 is 1/311416.
To find the highest common factor of 4837,5931, we have to find the factors of both numbers and list the highest common factor.
The factors of 4837 are 1, 7, 691, 4837
The factors of 5931 are 1, 3, 9, 659, 1977, 5931
The HCF of 4837,5931 is 1.
Lets's calculate GCF of 4837,5931
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4837,5931 By Matching Biggest Common Factor Method
Now, list down the factors of 4837
:1,7,691,4837
Now, list down the factors of 5931
:1,3,9,659,1977,5931
Greatest Common Factor
We found the factors 4837,5931 . The biggest common factor number is the GCF number.
So the greatest common factor 4837,5931 is 1.
Lets's calculate LCM of 664,938
| 2 | 664, 938 |
| 332, 469 |
∴ So the LCM of the given numbers is 2 x 332 x 469 = 311416
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/311416
Therefore, the GCF of Fractions 4837/664,5931/938 is 1/311416
Least Common Multiple of 664,938 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 664,938 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(664,938) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(664,938) x common factors =2 x 1 = 2
LCM(664,938) = ( 664 × 938 ) / 2
LCM(664,938) = 622832 / 2
LCM(664,938) = 311416
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FAQs on GCF of Fractions of 4837/664, 5931/938
1. What is the HCF of 4837,5931?
The HCF of 4837,5931 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 4837/664, 5931/938?
Answer: GCF of Numerators as per given numbers 4837/664, 5931/938 is
GCF of Numerators i.e. for 4837,5931 is 1
LCM of denominators i.e. for 664,938 is 311416.
Thus, GCF of Fractions is 1/311416.Finally, GCF of Fractions for 4837/664, 5931/938 is 1/311416.