Greatest Common Factor of 7015/10, 1735/562

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7015/10, 1735/562

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 7015/10,1735/562

Given fractions are 7015/10,1735/562

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 7015,1735

Greatest Common Factor of Numerators i.e. GCF of 7015,1735 is 5 .

LCM of Denominators means LCM of 10,562 as per the given fractions.

LCM of 10,562 is 2810 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7015,1735

GCF of Fractions 7015/10,1735/562 is 5/2810

5 7015, 1735
1403, 347

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 7015,1735 By Matching Biggest Common Factor Method

Greatest Common Factor of 7015,1735 By Matching Biggest Common Factor Method

Factors of 7015

List of positive integer factors of 7015 that divides 7015 without a remainder.

1,5,23,61,115,305,1403,7015

Factors of 1735

List of positive integer factors of 1735 that divides 1735 without a remainder.

1,5,347,1735

Greatest Common Factor

We found the factors 7015,1735 . The biggest common factor number is the GCF number.
So the greatest common factor 7015,1735 is 5.

Lets's calculate LCM of 10,562

2 10, 562
5, 281

∴ So the LCM of the given numbers is 2 x 5 x 281 = 2810

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/2810

Therefore, the GCF of Fractions 7015/10,1735/562 is 5/2810

Least Common Multiple of 10,562 with GCF Formula

Least Common Multiple of 10,562 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 10,562 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,562) = 2

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

GCF(10,562) x common factors =2 x 1 = 2

LCM(10,562) = ( 10 × 562 ) / 2

LCM(10,562) = 5620 / 2

LCM(10,562) = 2810


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 7015/10, 1735/562

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 7015/10, 1735/562?

Answer: GCF of Numerators as per given numbers 7015/10, 1735/562 is

GCF of Numerators i.e. for 7015,1735 is 5

LCM of denominators i.e. for 10,562 is 2810.

Thus, GCF of Fractions is 5/2810.Finally, GCF of Fractions for 7015/10, 1735/562 is 5/2810.