Greatest Common Factor of 1577/621, 4025/813

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1577/621, 4025/813

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 1577/621,4025/813

Given fractions are 1577/621,4025/813

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 1577,4025

Greatest Common Factor of Numerators i.e. GCF of 1577,4025 is 1 .

LCM of Denominators means LCM of 621,813 as per the given fractions.

LCM of 621,813 is 168291 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1577,4025

GCF of Fractions 1577/621,4025/813 is 1/168291

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

Greatest Common Factor of 1577,4025 By Matching Biggest Common Factor Method

Greatest Common Factor of 1577,4025 By Matching Biggest Common Factor Method

Factors of 1577

List of positive integer factors of 1577 that divides 1577 without a remainder.

1,19,83,1577

Factors of 4025

List of positive integer factors of 4025 that divides 4025 without a remainder.

1,5,7,23,25,35,115,161,175,575,805,4025

Greatest Common Factor

We found the factors 1577,4025 . The biggest common factor number is the GCF number.
So the greatest common factor 1577,4025 is 1.

Lets's calculate LCM of 621,813

3 621, 813
207, 271

∴ So the LCM of the given numbers is 3 x 207 x 271 = 168291

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/168291

Therefore, the GCF of Fractions 1577/621,4025/813 is 1/168291

Least Common Multiple of 621,813 with GCF Formula

Least Common Multiple of 621,813 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 621,813 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(621,813) = 3

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

GCF(621,813) x common factors =3 x 1 = 3

LCM(621,813) = ( 621 × 813 ) / 3

LCM(621,813) = 504873 / 3

LCM(621,813) = 168291


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 1577/621, 4025/813

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 1577/621, 4025/813?

Answer: GCF of Numerators as per given numbers 1577/621, 4025/813 is

GCF of Numerators i.e. for 1577,4025 is 1

LCM of denominators i.e. for 621,813 is 168291.

Thus, GCF of Fractions is 1/168291.Finally, GCF of Fractions for 1577/621, 4025/813 is 1/168291.