Greatest Common Factor of 4613/64, 6820/414

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4613/64, 6820/414

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 4613/64,6820/414

Given fractions are 4613/64,6820/414

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 4613,6820

Greatest Common Factor of Numerators i.e. GCF of 4613,6820 is 1 .

LCM of Denominators means LCM of 64,414 as per the given fractions.

LCM of 64,414 is 13248 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4613,6820

GCF of Fractions 4613/64,6820/414 is 1/13248

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 4613,6820 By Matching Biggest Common Factor Method

Greatest Common Factor of 4613,6820 By Matching Biggest Common Factor Method

Factors of 4613

List of positive integer factors of 4613 that divides 4613 without a remainder.

1,7,659,4613

Factors of 6820

List of positive integer factors of 6820 that divides 6820 without a remainder.

1,2,4,5,10,11,20,22,31,44,55,62,110,124,155,220,310,341,620,682,1364,1705,3410,6820

Greatest Common Factor

We found the factors 4613,6820 . The biggest common factor number is the GCF number.
So the greatest common factor 4613,6820 is 1.

Lets's calculate LCM of 64,414

2 64, 414
32, 207

∴ So the LCM of the given numbers is 2 x 32 x 207 = 13248

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13248

Therefore, the GCF of Fractions 4613/64,6820/414 is 1/13248

Least Common Multiple of 64,414 with GCF Formula

Least Common Multiple of 64,414 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 64,414 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,414) = 2

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

GCF(64,414) x common factors =2 x 1 = 2

LCM(64,414) = ( 64 × 414 ) / 2

LCM(64,414) = 26496 / 2

LCM(64,414) = 13248


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 4613/64, 6820/414

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 4613/64, 6820/414?

Answer: GCF of Numerators as per given numbers 4613/64, 6820/414 is

GCF of Numerators i.e. for 4613,6820 is 1

LCM of denominators i.e. for 64,414 is 13248.

Thus, GCF of Fractions is 1/13248.Finally, GCF of Fractions for 4613/64, 6820/414 is 1/13248.