Greatest Common Factor of 1377/997, 3055/500

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1377/997, 3055/500

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 1377/997,3055/500

Given fractions are 1377/997,3055/500

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 1377,3055

Greatest Common Factor of Numerators i.e. GCF of 1377,3055 is 1 .

LCM of Denominators means LCM of 997,500 as per the given fractions.

LCM of 997,500 is 498500 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1377,3055

GCF of Fractions 1377/997,3055/500 is 1/498500

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

Greatest Common Factor of 1377,3055 By Matching Biggest Common Factor Method

Greatest Common Factor of 1377,3055 By Matching Biggest Common Factor Method

Factors of 1377

List of positive integer factors of 1377 that divides 1377 without a remainder.

1,3,9,17,27,51,81,153,459,1377

Factors of 3055

List of positive integer factors of 3055 that divides 3055 without a remainder.

1,5,13,47,65,235,611,3055

Greatest Common Factor

We found the factors 1377,3055 . The biggest common factor number is the GCF number.
So the greatest common factor 1377,3055 is 1.

Lets's calculate LCM of 997,500

Given numbers has no common factors except 1. So, there LCM is their product i.e 498500

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/498500

Therefore, the GCF of Fractions 1377/997,3055/500 is 1/498500

Least Common Multiple of 997,500 with GCF Formula

Least Common Multiple of 997,500 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 997,500 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(997,500) = 1

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

GCF(997,500) x common factors =1 x 1 = 1

LCM(997,500) = ( 997 × 500 ) / 1

LCM(997,500) = 498500 / 1

LCM(997,500) = 498500


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 1377/997, 3055/500

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 1377/997, 3055/500?

Answer: GCF of Numerators as per given numbers 1377/997, 3055/500 is

GCF of Numerators i.e. for 1377,3055 is 1

LCM of denominators i.e. for 997,500 is 498500.

Thus, GCF of Fractions is 1/498500.Finally, GCF of Fractions for 1377/997, 3055/500 is 1/498500.