Greatest Common Factor of 649/40, 655/62, 182/676

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 649/40, 655/62, 182/676

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 649/40,655/62,182/676

Given fractions are 649/40,655/62,182/676

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 649,655,182

Greatest Common Factor of Numerators i.e. GCF of 649,655,182 is 1 .

LCM of Denominators means LCM of 40,62,676 as per the given fractions.

LCM of 40,62,676 is 209560 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 649,655,182

GCF of Fractions 649/40,655/62,182/676 is 1/209560

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

Greatest Common Factor of 649,655,182 By Matching Biggest Common Factor Method

Greatest Common Factor of 649,655,182 By Matching Biggest Common Factor Method

Factors of 649

List of positive integer factors of 649 that divides 649 without a remainder.

1,11,59,649

Factors of 655

List of positive integer factors of 655 that divides 655 without a remainder.

1,5,131,655

Factors of 182

List of positive integer factors of 182 that divides 182 without a remainder.

1,2,7,13,14,26,91,182

Greatest Common Factor

We found the factors 649,655,182 . The biggest common factor number is the GCF number.
So the greatest common factor 649,655,182 is 1.

Lets's calculate LCM of 40,62,676

2 40, 62, 676
2 20, 31, 338
10, 31, 169

∴ So the LCM of the given numbers is 2 x 2 x 10 x 31 x 169 = 209560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/209560

Therefore, the GCF of Fractions 649/40,655/62,182/676 is 1/209560

Least Common Multiple of 40,62,676 with GCF Formula

Least Common Multiple of 40,62,676 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 40,62,676 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,62,676) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(40,62,676) x common factors =2 x 4 = 8

LCM(40,62,676) = ( 40 × 62 × 676 ) / 8

LCM(40,62,676) = 1676480 / 8

LCM(40,62,676) = 209560


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 649/40, 655/62, 182/676

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 649/40, 655/62, 182/676?

Answer: GCF of Numerators as per given numbers 649/40, 655/62, 182/676 is

GCF of Numerators i.e. for 649,655,182 is 1

LCM of denominators i.e. for 40,62,676 is 209560.

Thus, GCF of Fractions is 1/209560.Finally, GCF of Fractions for 649/40, 655/62, 182/676 is 1/209560.