Greatest Common Factor of 377/602, 5312/661

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 377/602, 5312/661

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 377/602,5312/661

Given fractions are 377/602,5312/661

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 377,5312

Greatest Common Factor of Numerators i.e. GCF of 377,5312 is 1 .

LCM of Denominators means LCM of 602,661 as per the given fractions.

LCM of 602,661 is 397922 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 377,5312

GCF of Fractions 377/602,5312/661 is 1/397922

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

Greatest Common Factor of 377,5312 By Matching Biggest Common Factor Method

Greatest Common Factor of 377,5312 By Matching Biggest Common Factor Method

Factors of 377

List of positive integer factors of 377 that divides 377 without a remainder.

1,13,29,377

Factors of 5312

List of positive integer factors of 5312 that divides 5312 without a remainder.

1,2,4,8,16,32,64,83,166,332,664,1328,2656,5312

Greatest Common Factor

We found the factors 377,5312 . The biggest common factor number is the GCF number.
So the greatest common factor 377,5312 is 1.

Lets's calculate LCM of 602,661

Given numbers has no common factors except 1. So, there LCM is their product i.e 397922

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/397922

Therefore, the GCF of Fractions 377/602,5312/661 is 1/397922

Least Common Multiple of 602,661 with GCF Formula

Least Common Multiple of 602,661 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 602,661 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(602,661) = 1

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

GCF(602,661) x common factors =1 x 1 = 1

LCM(602,661) = ( 602 × 661 ) / 1

LCM(602,661) = 397922 / 1

LCM(602,661) = 397922


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 377/602, 5312/661

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 377/602, 5312/661?

Answer: GCF of Numerators as per given numbers 377/602, 5312/661 is

GCF of Numerators i.e. for 377,5312 is 1

LCM of denominators i.e. for 602,661 is 397922.

Thus, GCF of Fractions is 1/397922.Finally, GCF of Fractions for 377/602, 5312/661 is 1/397922.