Greatest Common Factor of 702/58, 1821/920

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 702/58, 1821/920

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 702/58,1821/920

Given fractions are 702/58,1821/920

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 702,1821

Greatest Common Factor of Numerators i.e. GCF of 702,1821 is 3 .

LCM of Denominators means LCM of 58,920 as per the given fractions.

LCM of 58,920 is 26680 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 702,1821

GCF of Fractions 702/58,1821/920 is 3/26680

3 702, 1821
234, 607

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 702,1821 By Matching Biggest Common Factor Method

Greatest Common Factor of 702,1821 By Matching Biggest Common Factor Method

Factors of 702

List of positive integer factors of 702 that divides 702 without a remainder.

1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702

Factors of 1821

List of positive integer factors of 1821 that divides 1821 without a remainder.

1,3,607,1821

Greatest Common Factor

We found the factors 702,1821 . The biggest common factor number is the GCF number.
So the greatest common factor 702,1821 is 3.

Lets's calculate LCM of 58,920

2 58, 920
29, 460

∴ So the LCM of the given numbers is 2 x 29 x 460 = 26680

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/26680

Therefore, the GCF of Fractions 702/58,1821/920 is 3/26680

Least Common Multiple of 58,920 with GCF Formula

Least Common Multiple of 58,920 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 58,920 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,920) = 2

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

GCF(58,920) x common factors =2 x 1 = 2

LCM(58,920) = ( 58 × 920 ) / 2

LCM(58,920) = 53360 / 2

LCM(58,920) = 26680


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 702/58, 1821/920

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 702/58, 1821/920?

Answer: GCF of Numerators as per given numbers 702/58, 1821/920 is

GCF of Numerators i.e. for 702,1821 is 3

LCM of denominators i.e. for 58,920 is 26680.

Thus, GCF of Fractions is 3/26680.Finally, GCF of Fractions for 702/58, 1821/920 is 3/26680.