Greatest Common Factor of 498/91, 549/23, 971/22

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 498/91, 549/23, 971/22

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 498/91,549/23,971/22

Given fractions are 498/91,549/23,971/22

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 498,549,971

Greatest Common Factor of Numerators i.e. GCF of 498,549,971 is 1 .

LCM of Denominators means LCM of 91,23,22 as per the given fractions.

LCM of 91,23,22 is 46046 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 498,549,971

GCF of Fractions 498/91,549/23,971/22 is 1/46046

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

Greatest Common Factor of 498,549,971 By Matching Biggest Common Factor Method

Greatest Common Factor of 498,549,971 By Matching Biggest Common Factor Method

Factors of 498

List of positive integer factors of 498 that divides 498 without a remainder.

1,2,3,6,83,166,249,498

Factors of 549

List of positive integer factors of 549 that divides 549 without a remainder.

1,3,9,61,183,549

Factors of 971

List of positive integer factors of 971 that divides 971 without a remainder.

1,971

Greatest Common Factor

We found the factors 498,549,971 . The biggest common factor number is the GCF number.
So the greatest common factor 498,549,971 is 1.

Lets's calculate LCM of 91,23,22

Given numbers has no common factors except 1. So, there LCM is their product i.e 46046

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/46046

Therefore, the GCF of Fractions 498/91,549/23,971/22 is 1/46046

Least Common Multiple of 91,23,22 with GCF Formula

Least Common Multiple of 91,23,22 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 91,23,22 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,23,22) = 1

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

GCF(91,23,22) x common factors =1 x 1 = 1

LCM(91,23,22) = ( 91 × 23 × 22 ) / 1

LCM(91,23,22) = 46046 / 1

LCM(91,23,22) = 46046


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 498/91, 549/23, 971/22

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 498/91, 549/23, 971/22?

Answer: GCF of Numerators as per given numbers 498/91, 549/23, 971/22 is

GCF of Numerators i.e. for 498,549,971 is 1

LCM of denominators i.e. for 91,23,22 is 46046.

Thus, GCF of Fractions is 1/46046.Finally, GCF of Fractions for 498/91, 549/23, 971/22 is 1/46046.