Greatest Common Factor of 6970/506, 5618/682

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6970/506, 5618/682

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 6970/506,5618/682

Given fractions are 6970/506,5618/682

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 6970,5618

Greatest Common Factor of Numerators i.e. GCF of 6970,5618 is 2 .

LCM of Denominators means LCM of 506,682 as per the given fractions.

LCM of 506,682 is 15686 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6970,5618

GCF of Fractions 6970/506,5618/682 is 2/15686

2 6970, 5618
3485, 2809

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 6970,5618 By Matching Biggest Common Factor Method

Greatest Common Factor of 6970,5618 By Matching Biggest Common Factor Method

Factors of 6970

List of positive integer factors of 6970 that divides 6970 without a remainder.

1,2,5,10,17,34,41,82,85,170,205,410,697,1394,3485,6970

Factors of 5618

List of positive integer factors of 5618 that divides 5618 without a remainder.

1,2,53,106,2809,5618

Greatest Common Factor

We found the factors 6970,5618 . The biggest common factor number is the GCF number.
So the greatest common factor 6970,5618 is 2.

Lets's calculate LCM of 506,682

2 506, 682
11 253, 341
23, 31

∴ So the LCM of the given numbers is 2 x 11 x 23 x 31 = 15686

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/15686

Therefore, the GCF of Fractions 6970/506,5618/682 is 2/15686

Least Common Multiple of 506,682 with GCF Formula

Least Common Multiple of 506,682 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 506,682 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(506,682) = 22

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

GCF(506,682) x common factors =22 x 1 = 22

LCM(506,682) = ( 506 × 682 ) / 22

LCM(506,682) = 345092 / 22

LCM(506,682) = 15686


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 6970/506, 5618/682

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 6970/506, 5618/682?

Answer: GCF of Numerators as per given numbers 6970/506, 5618/682 is

GCF of Numerators i.e. for 6970,5618 is 2

LCM of denominators i.e. for 506,682 is 15686.

Thus, GCF of Fractions is 2/15686.Finally, GCF of Fractions for 6970/506, 5618/682 is 2/15686.