Greatest Common Factor of 4526/305, 1364/340

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4526/305, 1364/340

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 4526/305,1364/340

Given fractions are 4526/305,1364/340

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 4526,1364

Greatest Common Factor of Numerators i.e. GCF of 4526,1364 is 62 .

LCM of Denominators means LCM of 305,340 as per the given fractions.

LCM of 305,340 is 20740 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4526,1364

GCF of Fractions 4526/305,1364/340 is 62/20740

2 4526, 1364
31 2263, 682
73, 22

∴ So the GCF of the given numbers is 2 x 31 = 62

Greatest Common Factor of 4526,1364 By Matching Biggest Common Factor Method

Greatest Common Factor of 4526,1364 By Matching Biggest Common Factor Method

Factors of 4526

List of positive integer factors of 4526 that divides 4526 without a remainder.

1,2,31,62,73,146,2263,4526

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

Greatest Common Factor

We found the factors 4526,1364 . The biggest common factor number is the GCF number.
So the greatest common factor 4526,1364 is 62.

Lets's calculate LCM of 305,340

5 305, 340
61, 68

∴ So the LCM of the given numbers is 5 x 61 x 68 = 20740

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 62/20740

Therefore, the GCF of Fractions 4526/305,1364/340 is 62/20740

Least Common Multiple of 305,340 with GCF Formula

Least Common Multiple of 305,340 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 305,340 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(305,340) = 5

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

GCF(305,340) x common factors =5 x 1 = 5

LCM(305,340) = ( 305 × 340 ) / 5

LCM(305,340) = 103700 / 5

LCM(305,340) = 20740


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 4526/305, 1364/340

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 4526/305, 1364/340?

Answer: GCF of Numerators as per given numbers 4526/305, 1364/340 is

GCF of Numerators i.e. for 4526,1364 is 62

LCM of denominators i.e. for 305,340 is 20740.

Thus, GCF of Fractions is 62/20740.Finally, GCF of Fractions for 4526/305, 1364/340 is 62/20740.