Greatest Common Factor of 7140/738, 1749/574

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7140/738, 1749/574

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 7140/738,1749/574

Given fractions are 7140/738,1749/574

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 7140,1749

Greatest Common Factor of Numerators i.e. GCF of 7140,1749 is 3 .

LCM of Denominators means LCM of 738,574 as per the given fractions.

LCM of 738,574 is 5166 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7140,1749

GCF of Fractions 7140/738,1749/574 is 3/5166

3 7140, 1749
2380, 583

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

Greatest Common Factor of 7140,1749 By Matching Biggest Common Factor Method

Greatest Common Factor of 7140,1749 By Matching Biggest Common Factor Method

Factors of 7140

List of positive integer factors of 7140 that divides 7140 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,17,20,21,28,30,34,35,42,51,60,68,70,84,85,102,105,119,140,170,204,210,238,255,340,357,420,476,510,595,714,1020,1190,1428,1785,2380,3570,7140

Factors of 1749

List of positive integer factors of 1749 that divides 1749 without a remainder.

1,3,11,33,53,159,583,1749

Greatest Common Factor

We found the factors 7140,1749 . The biggest common factor number is the GCF number.
So the greatest common factor 7140,1749 is 3.

Lets's calculate LCM of 738,574

2 738, 574
41 369, 287
9, 7

∴ So the LCM of the given numbers is 2 x 41 x 9 x 7 = 5166

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/5166

Therefore, the GCF of Fractions 7140/738,1749/574 is 3/5166

Least Common Multiple of 738,574 with GCF Formula

Least Common Multiple of 738,574 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 738,574 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(738,574) = 82

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

GCF(738,574) x common factors =82 x 1 = 82

LCM(738,574) = ( 738 × 574 ) / 82

LCM(738,574) = 423612 / 82

LCM(738,574) = 5166


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 7140/738, 1749/574

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 7140/738, 1749/574?

Answer: GCF of Numerators as per given numbers 7140/738, 1749/574 is

GCF of Numerators i.e. for 7140,1749 is 3

LCM of denominators i.e. for 738,574 is 5166.

Thus, GCF of Fractions is 3/5166.Finally, GCF of Fractions for 7140/738, 1749/574 is 3/5166.