Greatest Common Factor of 562/105, 291/767

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 562/105, 291/767

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 562/105,291/767

Given fractions are 562/105,291/767

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 562,291

Greatest Common Factor of Numerators i.e. GCF of 562,291 is 1 .

LCM of Denominators means LCM of 105,767 as per the given fractions.

LCM of 105,767 is 80535 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 562,291

GCF of Fractions 562/105,291/767 is 1/80535

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

Greatest Common Factor of 562,291 By Matching Biggest Common Factor Method

Greatest Common Factor of 562,291 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 291

List of positive integer factors of 291 that divides 291 without a remainder.

1,3,97,291

Greatest Common Factor

We found the factors 562,291 . The biggest common factor number is the GCF number.
So the greatest common factor 562,291 is 1.

Lets's calculate LCM of 105,767

Given numbers has no common factors except 1. So, there LCM is their product i.e 80535

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/80535

Therefore, the GCF of Fractions 562/105,291/767 is 1/80535

Least Common Multiple of 105,767 with GCF Formula

Least Common Multiple of 105,767 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 105,767 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(105,767) = 1

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

GCF(105,767) x common factors =1 x 1 = 1

LCM(105,767) = ( 105 × 767 ) / 1

LCM(105,767) = 80535 / 1

LCM(105,767) = 80535


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 562/105, 291/767

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 562/105, 291/767?

Answer: GCF of Numerators as per given numbers 562/105, 291/767 is

GCF of Numerators i.e. for 562,291 is 1

LCM of denominators i.e. for 105,767 is 80535.

Thus, GCF of Fractions is 1/80535.Finally, GCF of Fractions for 562/105, 291/767 is 1/80535.