Greatest Common Factor of 1364/656, 4858/369

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1364/656, 4858/369

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 1364/656,4858/369

Given fractions are 1364/656,4858/369

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 1364,4858

Greatest Common Factor of Numerators i.e. GCF of 1364,4858 is 2 .

LCM of Denominators means LCM of 656,369 as per the given fractions.

LCM of 656,369 is 5904 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1364,4858

GCF of Fractions 1364/656,4858/369 is 2/5904

2 1364, 4858
682, 2429

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 1364,4858 By Matching Biggest Common Factor Method

Greatest Common Factor of 1364,4858 By Matching Biggest Common Factor Method

Factors of 1364

List of positive integer factors of 1364 that divides 1364 without a remainder.

1,2,4,11,22,31,44,62,124,341,682,1364

Factors of 4858

List of positive integer factors of 4858 that divides 4858 without a remainder.

1,2,7,14,347,694,2429,4858

Greatest Common Factor

We found the factors 1364,4858 . The biggest common factor number is the GCF number.
So the greatest common factor 1364,4858 is 2.

Lets's calculate LCM of 656,369

41 656, 369
16, 9

∴ So the LCM of the given numbers is 41 x 16 x 9 = 5904

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5904

Therefore, the GCF of Fractions 1364/656,4858/369 is 2/5904

Least Common Multiple of 656,369 with GCF Formula

Least Common Multiple of 656,369 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 656,369 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(656,369) = 41

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

GCF(656,369) x common factors =41 x 1 = 41

LCM(656,369) = ( 656 × 369 ) / 41

LCM(656,369) = 242064 / 41

LCM(656,369) = 5904


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 1364/656, 4858/369

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 1364/656, 4858/369?

Answer: GCF of Numerators as per given numbers 1364/656, 4858/369 is

GCF of Numerators i.e. for 1364,4858 is 2

LCM of denominators i.e. for 656,369 is 5904.

Thus, GCF of Fractions is 2/5904.Finally, GCF of Fractions for 1364/656, 4858/369 is 2/5904.