Greatest Common Factor of 2651/38, 1613/740

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2651/38, 1613/740

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 2651/38,1613/740

Given fractions are 2651/38,1613/740

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 2651,1613

Greatest Common Factor of Numerators i.e. GCF of 2651,1613 is 1 .

LCM of Denominators means LCM of 38,740 as per the given fractions.

LCM of 38,740 is 14060 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2651,1613

GCF of Fractions 2651/38,1613/740 is 1/14060

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

Greatest Common Factor of 2651,1613 By Matching Biggest Common Factor Method

Greatest Common Factor of 2651,1613 By Matching Biggest Common Factor Method

Factors of 2651

List of positive integer factors of 2651 that divides 2651 without a remainder.

1,11,241,2651

Factors of 1613

List of positive integer factors of 1613 that divides 1613 without a remainder.

1,1613

Greatest Common Factor

We found the factors 2651,1613 . The biggest common factor number is the GCF number.
So the greatest common factor 2651,1613 is 1.

Lets's calculate LCM of 38,740

2 38, 740
19, 370

∴ So the LCM of the given numbers is 2 x 19 x 370 = 14060

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14060

Therefore, the GCF of Fractions 2651/38,1613/740 is 1/14060

Least Common Multiple of 38,740 with GCF Formula

Least Common Multiple of 38,740 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 38,740 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,740) = 2

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

GCF(38,740) x common factors =2 x 1 = 2

LCM(38,740) = ( 38 × 740 ) / 2

LCM(38,740) = 28120 / 2

LCM(38,740) = 14060


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 2651/38, 1613/740

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 2651/38, 1613/740?

Answer: GCF of Numerators as per given numbers 2651/38, 1613/740 is

GCF of Numerators i.e. for 2651,1613 is 1

LCM of denominators i.e. for 38,740 is 14060.

Thus, GCF of Fractions is 1/14060.Finally, GCF of Fractions for 2651/38, 1613/740 is 1/14060.