Greatest Common Factor of 693/292, 2354/546

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 693/292, 2354/546

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 693/292,2354/546

Given fractions are 693/292,2354/546

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 693,2354

Greatest Common Factor of Numerators i.e. GCF of 693,2354 is 11 .

LCM of Denominators means LCM of 292,546 as per the given fractions.

LCM of 292,546 is 79716 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 693,2354

GCF of Fractions 693/292,2354/546 is 11/79716

11 693, 2354
63, 214

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 693,2354 By Matching Biggest Common Factor Method

Greatest Common Factor of 693,2354 By Matching Biggest Common Factor Method

Factors of 693

List of positive integer factors of 693 that divides 693 without a remainder.

1,3,7,9,11,21,33,63,77,99,231,693

Factors of 2354

List of positive integer factors of 2354 that divides 2354 without a remainder.

1,2,11,22,107,214,1177,2354

Greatest Common Factor

We found the factors 693,2354 . The biggest common factor number is the GCF number.
So the greatest common factor 693,2354 is 11.

Lets's calculate LCM of 292,546

2 292, 546
146, 273

∴ So the LCM of the given numbers is 2 x 146 x 273 = 79716

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/79716

Therefore, the GCF of Fractions 693/292,2354/546 is 11/79716

Least Common Multiple of 292,546 with GCF Formula

Least Common Multiple of 292,546 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 292,546 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(292,546) = 2

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

GCF(292,546) x common factors =2 x 1 = 2

LCM(292,546) = ( 292 × 546 ) / 2

LCM(292,546) = 159432 / 2

LCM(292,546) = 79716


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 693/292, 2354/546

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 693/292, 2354/546?

Answer: GCF of Numerators as per given numbers 693/292, 2354/546 is

GCF of Numerators i.e. for 693,2354 is 11

LCM of denominators i.e. for 292,546 is 79716.

Thus, GCF of Fractions is 11/79716.Finally, GCF of Fractions for 693/292, 2354/546 is 11/79716.