Greatest Common Factor of 30/238, 2563/2677

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 30/238, 2563/2677

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 30/238,2563/2677

Given fractions are 30/238,2563/2677

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 30,2563

Greatest Common Factor of Numerators i.e. GCF of 30,2563 is 1 .

LCM of Denominators means LCM of 238,2677 as per the given fractions.

LCM of 238,2677 is 637126 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 30,2563

GCF of Fractions 30/238,2563/2677 is 1/637126

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

Greatest Common Factor of 30,2563 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,2563 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 2563

List of positive integer factors of 2563 that divides 2563 without a remainder.

1,11,233,2563

Greatest Common Factor

We found the factors 30,2563 . The biggest common factor number is the GCF number.
So the greatest common factor 30,2563 is 1.

Lets's calculate LCM of 238,2677

Given numbers has no common factors except 1. So, there LCM is their product i.e 637126

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/637126

Therefore, the GCF of Fractions 30/238,2563/2677 is 1/637126

Least Common Multiple of 238,2677 with GCF Formula

Least Common Multiple of 238,2677 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 238,2677 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(238,2677) = 1

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

GCF(238,2677) x common factors =1 x 1 = 1

LCM(238,2677) = ( 238 × 2677 ) / 1

LCM(238,2677) = 637126 / 1

LCM(238,2677) = 637126


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 30/238, 2563/2677

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 30/238, 2563/2677?

Answer: GCF of Numerators as per given numbers 30/238, 2563/2677 is

GCF of Numerators i.e. for 30,2563 is 1

LCM of denominators i.e. for 238,2677 is 637126.

Thus, GCF of Fractions is 1/637126.Finally, GCF of Fractions for 30/238, 2563/2677 is 1/637126.