Greatest Common Factor of 1521/617, 4952/2022

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1521/617, 4952/2022

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 1521/617,4952/2022

Given fractions are 1521/617,4952/2022

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 1521,4952

Greatest Common Factor of Numerators i.e. GCF of 1521,4952 is 1 .

LCM of Denominators means LCM of 617,2022 as per the given fractions.

LCM of 617,2022 is 1247574 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1521,4952

GCF of Fractions 1521/617,4952/2022 is 1/1247574

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

Greatest Common Factor of 1521,4952 By Matching Biggest Common Factor Method

Greatest Common Factor of 1521,4952 By Matching Biggest Common Factor Method

Factors of 1521

List of positive integer factors of 1521 that divides 1521 without a remainder.

1,3,9,13,39,117,169,507,1521

Factors of 4952

List of positive integer factors of 4952 that divides 4952 without a remainder.

1,2,4,8,619,1238,2476,4952

Greatest Common Factor

We found the factors 1521,4952 . The biggest common factor number is the GCF number.
So the greatest common factor 1521,4952 is 1.

Lets's calculate LCM of 617,2022

Given numbers has no common factors except 1. So, there LCM is their product i.e 1247574

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1247574

Therefore, the GCF of Fractions 1521/617,4952/2022 is 1/1247574

Least Common Multiple of 617,2022 with GCF Formula

Least Common Multiple of 617,2022 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 617,2022 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(617,2022) = 1

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

GCF(617,2022) x common factors =1 x 1 = 1

LCM(617,2022) = ( 617 × 2022 ) / 1

LCM(617,2022) = 1247574 / 1

LCM(617,2022) = 1247574


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 1521/617, 4952/2022

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 1521/617, 4952/2022?

Answer: GCF of Numerators as per given numbers 1521/617, 4952/2022 is

GCF of Numerators i.e. for 1521,4952 is 1

LCM of denominators i.e. for 617,2022 is 1247574.

Thus, GCF of Fractions is 1/1247574.Finally, GCF of Fractions for 1521/617, 4952/2022 is 1/1247574.