Greatest Common Factor of 681/83, 160/28, 930/502

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 681/83, 160/28, 930/502

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 681/83,160/28,930/502

Given fractions are 681/83,160/28,930/502

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 681,160,930

Greatest Common Factor of Numerators i.e. GCF of 681,160,930 is 1 .

LCM of Denominators means LCM of 83,28,502 as per the given fractions.

LCM of 83,28,502 is 583324 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 681,160,930

GCF of Fractions 681/83,160/28,930/502 is 1/583324

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

Greatest Common Factor of 681,160,930 By Matching Biggest Common Factor Method

Greatest Common Factor of 681,160,930 By Matching Biggest Common Factor Method

Factors of 681

List of positive integer factors of 681 that divides 681 without a remainder.

1,3,227,681

Factors of 160

List of positive integer factors of 160 that divides 160 without a remainder.

1,2,4,5,8,10,16,20,32,40,80,160

Factors of 930

List of positive integer factors of 930 that divides 930 without a remainder.

1,2,3,5,6,10,15,30,31,62,93,155,186,310,465,930

Greatest Common Factor

We found the factors 681,160,930 . The biggest common factor number is the GCF number.
So the greatest common factor 681,160,930 is 1.

Lets's calculate LCM of 83,28,502

2 83, 28, 502
83, 14, 251

∴ So the LCM of the given numbers is 2 x 83 x 14 x 251 = 583324

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/583324

Therefore, the GCF of Fractions 681/83,160/28,930/502 is 1/583324

Least Common Multiple of 83,28,502 with GCF Formula

Least Common Multiple of 83,28,502 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 83,28,502 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,28,502) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(83,28,502) x common factors =1 x 2 = 2

LCM(83,28,502) = ( 83 × 28 × 502 ) / 2

LCM(83,28,502) = 1166648 / 2

LCM(83,28,502) = 583324


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 681/83, 160/28, 930/502

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 681/83, 160/28, 930/502?

Answer: GCF of Numerators as per given numbers 681/83, 160/28, 930/502 is

GCF of Numerators i.e. for 681,160,930 is 1

LCM of denominators i.e. for 83,28,502 is 583324.

Thus, GCF of Fractions is 1/583324.Finally, GCF of Fractions for 681/83, 160/28, 930/502 is 1/583324.