Greatest Common Factor of 557/12, 697/61, 695/663

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 557/12, 697/61, 695/663

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 557/12,697/61,695/663

Given fractions are 557/12,697/61,695/663

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 557,697,695

Greatest Common Factor of Numerators i.e. GCF of 557,697,695 is 1 .

LCM of Denominators means LCM of 12,61,663 as per the given fractions.

LCM of 12,61,663 is 161772 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 557,697,695

GCF of Fractions 557/12,697/61,695/663 is 1/161772

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

Greatest Common Factor of 557,697,695 By Matching Biggest Common Factor Method

Greatest Common Factor of 557,697,695 By Matching Biggest Common Factor Method

Factors of 557

List of positive integer factors of 557 that divides 557 without a remainder.

1,557

Factors of 697

List of positive integer factors of 697 that divides 697 without a remainder.

1,17,41,697

Factors of 695

List of positive integer factors of 695 that divides 695 without a remainder.

1,5,139,695

Greatest Common Factor

We found the factors 557,697,695 . The biggest common factor number is the GCF number.
So the greatest common factor 557,697,695 is 1.


Lets's calculate LCM of 12,61,663

3 12, 61, 663
4, 61, 221

∴ So the LCM of the given numbers is 3 x 4 x 61 x 221 = 161772

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/161772

Therefore, the GCF of Fractions 557/12,697/61,695/663 is 1/161772

Least Common Multiple of 12,61,663 with GCF Formula

Least Common Multiple of 12,61,663 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 12,61,663 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,61,663) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(12,61,663) x common factors =1 x 3 = 3

LCM(12,61,663) = ( 12 × 61 × 663 ) / 3

LCM(12,61,663) = 485316 / 3

LCM(12,61,663) = 161772


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 557/12, 697/61, 695/663

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 557/12, 697/61, 695/663?

Answer: GCF of Numerators as per given numbers 557/12, 697/61, 695/663 is

GCF of Numerators i.e. for 557,697,695 is 1

LCM of denominators i.e. for 12,61,663 is 161772.

Thus, GCF of Fractions is 1/161772.Finally, GCF of Fractions for 557/12, 697/61, 695/663 is 1/161772.