Greatest Common Factor of 491/547, 490/765, 110/704

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 491/547, 490/765, 110/704

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 491/547,490/765,110/704

Given fractions are 491/547,490/765,110/704

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 491,490,110

Greatest Common Factor of Numerators i.e. GCF of 491,490,110 is 1 .

LCM of Denominators means LCM of 547,765,704 as per the given fractions.

LCM of 547,765,704 is 294592320 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 491,490,110

GCF of Fractions 491/547,490/765,110/704 is 1/294592320

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

Greatest Common Factor of 491,490,110 By Matching Biggest Common Factor Method

Greatest Common Factor of 491,490,110 By Matching Biggest Common Factor Method

Factors of 491

List of positive integer factors of 491 that divides 491 without a remainder.

1,491

Factors of 490

List of positive integer factors of 490 that divides 490 without a remainder.

1,2,5,7,10,14,35,49,70,98,245,490

Factors of 110

List of positive integer factors of 110 that divides 110 without a remainder.

1,2,5,10,11,22,55,110

Greatest Common Factor

We found the factors 491,490,110 . The biggest common factor number is the GCF number.
So the greatest common factor 491,490,110 is 1.

Lets's calculate LCM of 547,765,704

Given numbers has no common factors except 1. So, there LCM is their product i.e 294592320

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/294592320

Therefore, the GCF of Fractions 491/547,490/765,110/704 is 1/294592320

Least Common Multiple of 547,765,704 with GCF Formula

Least Common Multiple of 547,765,704 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 547,765,704 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(547,765,704) = 1

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

GCF(547,765,704) x common factors =1 x 1 = 1

LCM(547,765,704) = ( 547 × 765 × 704 ) / 1

LCM(547,765,704) = 294592320 / 1

LCM(547,765,704) = 294592320


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 491/547, 490/765, 110/704

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 491/547, 490/765, 110/704?

Answer: GCF of Numerators as per given numbers 491/547, 490/765, 110/704 is

GCF of Numerators i.e. for 491,490,110 is 1

LCM of denominators i.e. for 547,765,704 is 294592320.

Thus, GCF of Fractions is 1/294592320.Finally, GCF of Fractions for 491/547, 490/765, 110/704 is 1/294592320.