Greatest Common Factor of 683/28, 6120/942

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 683/28, 6120/942

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 683/28,6120/942

Given fractions are 683/28,6120/942

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 683,6120

Greatest Common Factor of Numerators i.e. GCF of 683,6120 is 1 .

LCM of Denominators means LCM of 28,942 as per the given fractions.

LCM of 28,942 is 13188 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 683,6120

GCF of Fractions 683/28,6120/942 is 1/13188

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

Greatest Common Factor of 683,6120 By Matching Biggest Common Factor Method

Greatest Common Factor of 683,6120 By Matching Biggest Common Factor Method

Factors of 683

List of positive integer factors of 683 that divides 683 without a remainder.

1,683

Factors of 6120

List of positive integer factors of 6120 that divides 6120 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,17,18,20,24,30,34,36,40,45,51,60,68,72,85,90,102,120,136,153,170,180,204,255,306,340,360,408,510,612,680,765,1020,1224,1530,2040,3060,6120

Greatest Common Factor

We found the factors 683,6120 . The biggest common factor number is the GCF number.
So the greatest common factor 683,6120 is 1.

Lets's calculate LCM of 28,942

2 28, 942
14, 471

∴ So the LCM of the given numbers is 2 x 14 x 471 = 13188

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13188

Therefore, the GCF of Fractions 683/28,6120/942 is 1/13188

Least Common Multiple of 28,942 with GCF Formula

Least Common Multiple of 28,942 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 28,942 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,942) = 2

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

GCF(28,942) x common factors =2 x 1 = 2

LCM(28,942) = ( 28 × 942 ) / 2

LCM(28,942) = 26376 / 2

LCM(28,942) = 13188


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 683/28, 6120/942

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 683/28, 6120/942?

Answer: GCF of Numerators as per given numbers 683/28, 6120/942 is

GCF of Numerators i.e. for 683,6120 is 1

LCM of denominators i.e. for 28,942 is 13188.

Thus, GCF of Fractions is 1/13188.Finally, GCF of Fractions for 683/28, 6120/942 is 1/13188.