Greatest Common Factor of 562/66, 767/408

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 562/66, 767/408

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 562/66,767/408

Given fractions are 562/66,767/408

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 562,767

Greatest Common Factor of Numerators i.e. GCF of 562,767 is 1 .

LCM of Denominators means LCM of 66,408 as per the given fractions.

LCM of 66,408 is 4488 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 562,767

GCF of Fractions 562/66,767/408 is 1/4488

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

Greatest Common Factor of 562,767 By Matching Biggest Common Factor Method

Greatest Common Factor of 562,767 By Matching Biggest Common Factor Method

Factors of 562

List of positive integer factors of 562 that divides 562 without a remainder.

1,2,281,562

Factors of 767

List of positive integer factors of 767 that divides 767 without a remainder.

1,13,59,767

Greatest Common Factor

We found the factors 562,767 . The biggest common factor number is the GCF number.
So the greatest common factor 562,767 is 1.

Lets's calculate LCM of 66,408

2 66, 408
3 33, 204
11, 68

∴ So the LCM of the given numbers is 2 x 3 x 11 x 68 = 4488

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4488

Therefore, the GCF of Fractions 562/66,767/408 is 1/4488

Least Common Multiple of 66,408 with GCF Formula

Least Common Multiple of 66,408 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 66,408 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,408) = 6

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

GCF(66,408) x common factors =6 x 1 = 6

LCM(66,408) = ( 66 × 408 ) / 6

LCM(66,408) = 26928 / 6

LCM(66,408) = 4488


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 562/66, 767/408

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 562/66, 767/408?

Answer: GCF of Numerators as per given numbers 562/66, 767/408 is

GCF of Numerators i.e. for 562,767 is 1

LCM of denominators i.e. for 66,408 is 4488.

Thus, GCF of Fractions is 1/4488.Finally, GCF of Fractions for 562/66, 767/408 is 1/4488.