GCF of 4337/514, 2938/642
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4337/514, 2938/642 i.e 1/164994 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4337/514, 2938/642.
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 4337/514,2938/642?
Given fractions are 4337/514,2938/642
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 4337/514,2938/642, numerators are 4337,2938
Denominators are 514,642
The GCF of 4337,2938 is 1 .
LCM of 514,642 is 164994.
The greatest common factor of 4337/514,2938/642 = [GCF of 4337,2938]/[LCM of 514,642]= 1/164994
Therefore, the GCF of 4337/514,2938/642 is 1/164994.
To find the highest common factor of 4337,2938, we have to find the factors of both numbers and list the highest common factor.
The factors of 4337 are 1, 4337
The factors of 2938 are 1, 2, 13, 26, 113, 226, 1469, 2938
The HCF of 4337,2938 is 1.
Lets's calculate GCF of 4337,2938
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4337,2938 By Matching Biggest Common Factor Method
Now, list down the factors of 4337
:1,4337
Now, list down the factors of 2938
:1,2,13,26,113,226,1469,2938
Greatest Common Factor
We found the factors 4337,2938 . The biggest common factor number is the GCF number.
So the greatest common factor 4337,2938 is 1.
Lets's calculate LCM of 514,642
| 2 | 514, 642 |
| 257, 321 |
∴ So the LCM of the given numbers is 2 x 257 x 321 = 164994
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/164994
Therefore, the GCF of Fractions 4337/514,2938/642 is 1/164994
Least Common Multiple of 514,642 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 514,642 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(514,642) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(514,642) x common factors =2 x 1 = 2
LCM(514,642) = ( 514 × 642 ) / 2
LCM(514,642) = 329988 / 2
LCM(514,642) = 164994
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FAQs on GCF of Fractions of 4337/514, 2938/642
1. What is the HCF of 4337,2938?
The HCF of 4337,2938 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 4337/514, 2938/642?
Answer: GCF of Numerators as per given numbers 4337/514, 2938/642 is
GCF of Numerators i.e. for 4337,2938 is 1
LCM of denominators i.e. for 514,642 is 164994.
Thus, GCF of Fractions is 1/164994.Finally, GCF of Fractions for 4337/514, 2938/642 is 1/164994.