GCF of 2931/365, 4852/4620
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2931/365, 4852/4620 i.e 1/337260 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2931/365, 4852/4620.
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 2931/365,4852/4620?
Given fractions are 2931/365,4852/4620
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 2931/365,4852/4620, numerators are 2931,4852
Denominators are 365,4620
The GCF of 2931,4852 is 1 .
LCM of 365,4620 is 337260.
The greatest common factor of 2931/365,4852/4620 = [GCF of 2931,4852]/[LCM of 365,4620]= 1/337260
Therefore, the GCF of 2931/365,4852/4620 is 1/337260.
To find the highest common factor of 2931,4852, we have to find the factors of both numbers and list the highest common factor.
The factors of 2931 are 1, 3, 977, 2931
The factors of 4852 are 1, 2, 4, 1213, 2426, 4852
The HCF of 2931,4852 is 1.
Lets's calculate GCF of 2931,4852
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2931,4852 By Matching Biggest Common Factor Method
Now, list down the factors of 2931
:1,3,977,2931
Now, list down the factors of 4852
:1,2,4,1213,2426,4852
Greatest Common Factor
We found the factors 2931,4852 . The biggest common factor number is the GCF number.
So the greatest common factor 2931,4852 is 1.
Lets's calculate LCM of 365,4620
| 5 | 365, 4620 |
| 73, 924 |
∴ So the LCM of the given numbers is 5 x 73 x 924 = 337260
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/337260
Therefore, the GCF of Fractions 2931/365,4852/4620 is 1/337260
Least Common Multiple of 365,4620 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 365,4620 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(365,4620) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(365,4620) x common factors =5 x 1 = 5
LCM(365,4620) = ( 365 × 4620 ) / 5
LCM(365,4620) = 1686300 / 5
LCM(365,4620) = 337260
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FAQs on GCF of Fractions of 2931/365, 4852/4620
1. What is the HCF of 2931,4852?
The HCF of 2931,4852 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 2931/365, 4852/4620?
Answer: GCF of Numerators as per given numbers 2931/365, 4852/4620 is
GCF of Numerators i.e. for 2931,4852 is 1
LCM of denominators i.e. for 365,4620 is 337260.
Thus, GCF of Fractions is 1/337260.Finally, GCF of Fractions for 2931/365, 4852/4620 is 1/337260.