Greatest Common Factor of 6626/462, 1410/682

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6626/462, 1410/682

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 6626/462,1410/682

Given fractions are 6626/462,1410/682

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 6626,1410

Greatest Common Factor of Numerators i.e. GCF of 6626,1410 is 2 .

LCM of Denominators means LCM of 462,682 as per the given fractions.

LCM of 462,682 is 14322 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6626,1410

GCF of Fractions 6626/462,1410/682 is 2/14322

2 6626, 1410
3313, 705

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

Greatest Common Factor of 6626,1410 By Matching Biggest Common Factor Method

Greatest Common Factor of 6626,1410 By Matching Biggest Common Factor Method

Factors of 6626

List of positive integer factors of 6626 that divides 6626 without a remainder.

1,2,3313,6626

Factors of 1410

List of positive integer factors of 1410 that divides 1410 without a remainder.

1,2,3,5,6,10,15,30,47,94,141,235,282,470,705,1410

Greatest Common Factor

We found the factors 6626,1410 . The biggest common factor number is the GCF number.
So the greatest common factor 6626,1410 is 2.

Lets's calculate LCM of 462,682

2 462, 682
11 231, 341
21, 31

∴ So the LCM of the given numbers is 2 x 11 x 21 x 31 = 14322

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/14322

Therefore, the GCF of Fractions 6626/462,1410/682 is 2/14322

Least Common Multiple of 462,682 with GCF Formula

Least Common Multiple of 462,682 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 462,682 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(462,682) = 22

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

GCF(462,682) x common factors =22 x 1 = 22

LCM(462,682) = ( 462 × 682 ) / 22

LCM(462,682) = 315084 / 22

LCM(462,682) = 14322


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 6626/462, 1410/682

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 6626/462, 1410/682?

Answer: GCF of Numerators as per given numbers 6626/462, 1410/682 is

GCF of Numerators i.e. for 6626,1410 is 2

LCM of denominators i.e. for 462,682 is 14322.

Thus, GCF of Fractions is 2/14322.Finally, GCF of Fractions for 6626/462, 1410/682 is 2/14322.