Greatest Common Factor of 2465/867, 4970/5964

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2465/867, 4970/5964

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 2465/867,4970/5964

Given fractions are 2465/867,4970/5964

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 2465,4970

Greatest Common Factor of Numerators i.e. GCF of 2465,4970 is 5 .

LCM of Denominators means LCM of 867,5964 as per the given fractions.

LCM of 867,5964 is 1723596 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2465,4970

GCF of Fractions 2465/867,4970/5964 is 5/1723596

5 2465, 4970
493, 994

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 2465,4970 By Matching Biggest Common Factor Method

Greatest Common Factor of 2465,4970 By Matching Biggest Common Factor Method

Factors of 2465

List of positive integer factors of 2465 that divides 2465 without a remainder.

1,5,17,29,85,145,493,2465

Factors of 4970

List of positive integer factors of 4970 that divides 4970 without a remainder.

1,2,5,7,10,14,35,70,71,142,355,497,710,994,2485,4970

Greatest Common Factor

We found the factors 2465,4970 . The biggest common factor number is the GCF number.
So the greatest common factor 2465,4970 is 5.

Lets's calculate LCM of 867,5964

3 867, 5964
289, 1988

∴ So the LCM of the given numbers is 3 x 289 x 1988 = 1723596

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1723596

Therefore, the GCF of Fractions 2465/867,4970/5964 is 5/1723596

Least Common Multiple of 867,5964 with GCF Formula

Least Common Multiple of 867,5964 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 867,5964 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(867,5964) = 3

common factors(in case of two or more numbers have common factors) = 1

GCF(867,5964) x common factors =3 x 1 = 3

LCM(867,5964) = ( 867 × 5964 ) / 3

LCM(867,5964) = 5170788 / 3

LCM(867,5964) = 1723596


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 2465/867, 4970/5964

1. 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.

2. What is the GCF of Fractions for 2465/867, 4970/5964?

Answer: GCF of Numerators as per given numbers 2465/867, 4970/5964 is

GCF of Numerators i.e. for 2465,4970 is 5

LCM of denominators i.e. for 867,5964 is 1723596.

Thus, GCF of Fractions is 5/1723596.Finally, GCF of Fractions for 2465/867, 4970/5964 is 5/1723596.