Greatest Common Factor of 651/69, 986/2574

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 651/69, 986/2574

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 651/69,986/2574

Given fractions are 651/69,986/2574

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 651,986

Greatest Common Factor of Numerators i.e. GCF of 651,986 is 1 .

LCM of Denominators means LCM of 69,2574 as per the given fractions.

LCM of 69,2574 is 59202 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 651,986

GCF of Fractions 651/69,986/2574 is 1/59202

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

Greatest Common Factor of 651,986 By Matching Biggest Common Factor Method

Greatest Common Factor of 651,986 By Matching Biggest Common Factor Method

Factors of 651

List of positive integer factors of 651 that divides 651 without a remainder.

1,3,7,21,31,93,217,651

Factors of 986

List of positive integer factors of 986 that divides 986 without a remainder.

1,2,17,29,34,58,493,986

Greatest Common Factor

We found the factors 651,986 . The biggest common factor number is the GCF number.
So the greatest common factor 651,986 is 1.

Lets's calculate LCM of 69,2574

3 69, 2574
23, 858

∴ So the LCM of the given numbers is 3 x 23 x 858 = 59202

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/59202

Therefore, the GCF of Fractions 651/69,986/2574 is 1/59202

Least Common Multiple of 69,2574 with GCF Formula

Least Common Multiple of 69,2574 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 69,2574 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,2574) = 3

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

GCF(69,2574) x common factors =3 x 1 = 3

LCM(69,2574) = ( 69 × 2574 ) / 3

LCM(69,2574) = 177606 / 3

LCM(69,2574) = 59202


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 651/69, 986/2574

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 651/69, 986/2574?

Answer: GCF of Numerators as per given numbers 651/69, 986/2574 is

GCF of Numerators i.e. for 651,986 is 1

LCM of denominators i.e. for 69,2574 is 59202.

Thus, GCF of Fractions is 1/59202.Finally, GCF of Fractions for 651/69, 986/2574 is 1/59202.