Greatest Common Factor of 683/2744, 374/5250

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 683/2744, 374/5250

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 683/2744,374/5250

Given fractions are 683/2744,374/5250

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 683,374

Greatest Common Factor of Numerators i.e. GCF of 683,374 is 1 .

LCM of Denominators means LCM of 2744,5250 as per the given fractions.

LCM of 2744,5250 is 1029000 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 683,374

GCF of Fractions 683/2744,374/5250 is 1/1029000

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

Greatest Common Factor of 683,374 By Matching Biggest Common Factor Method

Greatest Common Factor of 683,374 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 374

List of positive integer factors of 374 that divides 374 without a remainder.

1,2,11,17,22,34,187,374

Greatest Common Factor

We found the factors 683,374 . The biggest common factor number is the GCF number.
So the greatest common factor 683,374 is 1.

Lets's calculate LCM of 2744,5250

2 2744, 5250
7 1372, 2625
196, 375

∴ So the LCM of the given numbers is 2 x 7 x 196 x 375 = 1029000

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1029000

Therefore, the GCF of Fractions 683/2744,374/5250 is 1/1029000

Least Common Multiple of 2744,5250 with GCF Formula

Least Common Multiple of 2744,5250 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 2744,5250 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2744,5250) = 14

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

GCF(2744,5250) x common factors =14 x 1 = 14

LCM(2744,5250) = ( 2744 × 5250 ) / 14

LCM(2744,5250) = 14406000 / 14

LCM(2744,5250) = 1029000


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 683/2744, 374/5250

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 683/2744, 374/5250?

Answer: GCF of Numerators as per given numbers 683/2744, 374/5250 is

GCF of Numerators i.e. for 683,374 is 1

LCM of denominators i.e. for 2744,5250 is 1029000.

Thus, GCF of Fractions is 1/1029000.Finally, GCF of Fractions for 683/2744, 374/5250 is 1/1029000.