Greatest Common Factor of 7/38, 13/71, 37/899, 682/461

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7/38, 13/71, 37/899, 682/461

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 7/38,13/71,37/899,682/461

Given fractions are 7/38,13/71,37/899,682/461

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 7,13,37,682

Greatest Common Factor of Numerators i.e. GCF of 7,13,37,682 is 1 .

LCM of Denominators means LCM of 38,71,899,461 as per the given fractions.

LCM of 38,71,899,461 is 1118156422 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7,13,37,682

GCF of Fractions 7/38,13/71,37/899,682/461 is 1/1118156422

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

Greatest Common Factor of 7,13,37,682 By Matching Biggest Common Factor Method

Greatest Common Factor of 7,13,37,682 By Matching Biggest Common Factor Method

Factors of 7

List of positive integer factors of 7 that divides 7 without a remainder.

1,7

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 682

List of positive integer factors of 682 that divides 682 without a remainder.

1,2,11,22,31,62,341,682

Greatest Common Factor

We found the factors 7,13,37,682 . The biggest common factor number is the GCF number.
So the greatest common factor 7,13,37,682 is 1.

Lets's calculate LCM of 38,71,899,461

Given numbers has no common factors except 1. So, there LCM is their product i.e 1118156422

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1118156422

Therefore, the GCF of Fractions 7/38,13/71,37/899,682/461 is 1/1118156422

Least Common Multiple of 38,71,899,461 with GCF Formula

Least Common Multiple of 38,71,899,461 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 38,71,899,461 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,71,899,461) = 1

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

GCF(38,71,899,461) x common factors =1 x 1 = 1

LCM(38,71,899,461) = ( 38 × 71 × 899 × 461 ) / 1

LCM(38,71,899,461) = 1118156422 / 1

LCM(38,71,899,461) = 1118156422


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 7/38, 13/71, 37/899, 682/461

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 7/38, 13/71, 37/899, 682/461?

Answer: GCF of Numerators as per given numbers 7/38, 13/71, 37/899, 682/461 is

GCF of Numerators i.e. for 7,13,37,682 is 1

LCM of denominators i.e. for 38,71,899,461 is 1118156422.

Thus, GCF of Fractions is 1/1118156422.Finally, GCF of Fractions for 7/38, 13/71, 37/899, 682/461 is 1/1118156422.