Greatest Common Factor of 1357/619, 4386/4564

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1357/619, 4386/4564

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 1357/619,4386/4564

Given fractions are 1357/619,4386/4564

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 1357,4386

Greatest Common Factor of Numerators i.e. GCF of 1357,4386 is 1 .

LCM of Denominators means LCM of 619,4564 as per the given fractions.

LCM of 619,4564 is 2825116 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1357,4386

GCF of Fractions 1357/619,4386/4564 is 1/2825116

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

Greatest Common Factor of 1357,4386 By Matching Biggest Common Factor Method

Greatest Common Factor of 1357,4386 By Matching Biggest Common Factor Method

Factors of 1357

List of positive integer factors of 1357 that divides 1357 without a remainder.

1,23,59,1357

Factors of 4386

List of positive integer factors of 4386 that divides 4386 without a remainder.

1,2,3,6,17,34,43,51,86,102,129,258,731,1462,2193,4386

Greatest Common Factor

We found the factors 1357,4386 . The biggest common factor number is the GCF number.
So the greatest common factor 1357,4386 is 1.

Lets's calculate LCM of 619,4564

Given numbers has no common factors except 1. So, there LCM is their product i.e 2825116

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2825116

Therefore, the GCF of Fractions 1357/619,4386/4564 is 1/2825116

Least Common Multiple of 619,4564 with GCF Formula

Least Common Multiple of 619,4564 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 619,4564 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(619,4564) = 1

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

GCF(619,4564) x common factors =1 x 1 = 1

LCM(619,4564) = ( 619 × 4564 ) / 1

LCM(619,4564) = 2825116 / 1

LCM(619,4564) = 2825116


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 1357/619, 4386/4564

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 1357/619, 4386/4564?

Answer: GCF of Numerators as per given numbers 1357/619, 4386/4564 is

GCF of Numerators i.e. for 1357,4386 is 1

LCM of denominators i.e. for 619,4564 is 2825116.

Thus, GCF of Fractions is 1/2825116.Finally, GCF of Fractions for 1357/619, 4386/4564 is 1/2825116.