Greatest Common Factor of 474/97, 821/63, 877/302

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 474/97, 821/63, 877/302

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 474/97,821/63,877/302

Given fractions are 474/97,821/63,877/302

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 474,821,877

Greatest Common Factor of Numerators i.e. GCF of 474,821,877 is 1 .

LCM of Denominators means LCM of 97,63,302 as per the given fractions.

LCM of 97,63,302 is 1845522 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 474,821,877

GCF of Fractions 474/97,821/63,877/302 is 1/1845522

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

Greatest Common Factor of 474,821,877 By Matching Biggest Common Factor Method

Greatest Common Factor of 474,821,877 By Matching Biggest Common Factor Method

Factors of 474

List of positive integer factors of 474 that divides 474 without a remainder.

1,2,3,6,79,158,237,474

Factors of 821

List of positive integer factors of 821 that divides 821 without a remainder.

1,821

Factors of 877

List of positive integer factors of 877 that divides 877 without a remainder.

1,877

Greatest Common Factor

We found the factors 474,821,877 . The biggest common factor number is the GCF number.
So the greatest common factor 474,821,877 is 1.


Lets's calculate LCM of 97,63,302

Given numbers has no common factors except 1. So, there LCM is their product i.e 1845522

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1845522

Therefore, the GCF of Fractions 474/97,821/63,877/302 is 1/1845522

Least Common Multiple of 97,63,302 with GCF Formula

Least Common Multiple of 97,63,302 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 97,63,302 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,63,302) = 1

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

GCF(97,63,302) x common factors =1 x 1 = 1

LCM(97,63,302) = ( 97 × 63 × 302 ) / 1

LCM(97,63,302) = 1845522 / 1

LCM(97,63,302) = 1845522


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 474/97, 821/63, 877/302

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 474/97, 821/63, 877/302?

Answer: GCF of Numerators as per given numbers 474/97, 821/63, 877/302 is

GCF of Numerators i.e. for 474,821,877 is 1

LCM of denominators i.e. for 97,63,302 is 1845522.

Thus, GCF of Fractions is 1/1845522.Finally, GCF of Fractions for 474/97, 821/63, 877/302 is 1/1845522.