Greatest Common Factor of 2324/564, 1769/7018

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2324/564, 1769/7018

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 2324/564,1769/7018

Given fractions are 2324/564,1769/7018

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 2324,1769

Greatest Common Factor of Numerators i.e. GCF of 2324,1769 is 1 .

LCM of Denominators means LCM of 564,7018 as per the given fractions.

LCM of 564,7018 is 1979076 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2324,1769

GCF of Fractions 2324/564,1769/7018 is 1/1979076

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

Greatest Common Factor of 2324,1769 By Matching Biggest Common Factor Method

Greatest Common Factor of 2324,1769 By Matching Biggest Common Factor Method

Factors of 2324

List of positive integer factors of 2324 that divides 2324 without a remainder.

1,2,4,7,14,28,83,166,332,581,1162,2324

Factors of 1769

List of positive integer factors of 1769 that divides 1769 without a remainder.

1,29,61,1769

Greatest Common Factor

We found the factors 2324,1769 . The biggest common factor number is the GCF number.
So the greatest common factor 2324,1769 is 1.

Lets's calculate LCM of 564,7018

2 564, 7018
282, 3509

∴ So the LCM of the given numbers is 2 x 282 x 3509 = 1979076

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1979076

Therefore, the GCF of Fractions 2324/564,1769/7018 is 1/1979076

Least Common Multiple of 564,7018 with GCF Formula

Least Common Multiple of 564,7018 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 564,7018 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(564,7018) = 2

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

GCF(564,7018) x common factors =2 x 1 = 2

LCM(564,7018) = ( 564 × 7018 ) / 2

LCM(564,7018) = 3958152 / 2

LCM(564,7018) = 1979076


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 2324/564, 1769/7018

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 2324/564, 1769/7018?

Answer: GCF of Numerators as per given numbers 2324/564, 1769/7018 is

GCF of Numerators i.e. for 2324,1769 is 1

LCM of denominators i.e. for 564,7018 is 1979076.

Thus, GCF of Fractions is 1/1979076.Finally, GCF of Fractions for 2324/564, 1769/7018 is 1/1979076.