Greatest Common Factor of 97/99, 277/50, 126/498

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 97/99, 277/50, 126/498

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 97/99,277/50,126/498

Given fractions are 97/99,277/50,126/498

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 97,277,126

Greatest Common Factor of Numerators i.e. GCF of 97,277,126 is 1 .

LCM of Denominators means LCM of 99,50,498 as per the given fractions.

LCM of 99,50,498 is 410850 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 97,277,126

GCF of Fractions 97/99,277/50,126/498 is 1/410850

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

Greatest Common Factor of 97,277,126 By Matching Biggest Common Factor Method

Greatest Common Factor of 97,277,126 By Matching Biggest Common Factor Method

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 277

List of positive integer factors of 277 that divides 277 without a remainder.

1,277

Factors of 126

List of positive integer factors of 126 that divides 126 without a remainder.

1,2,3,6,7,9,14,18,21,42,63,126

Greatest Common Factor

We found the factors 97,277,126 . The biggest common factor number is the GCF number.
So the greatest common factor 97,277,126 is 1.

Lets's calculate LCM of 99,50,498

2 99, 50, 498
3 99, 25, 249
33, 25, 83

∴ So the LCM of the given numbers is 2 x 3 x 33 x 25 x 83 = 410850

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/410850

Therefore, the GCF of Fractions 97/99,277/50,126/498 is 1/410850

Least Common Multiple of 99,50,498 with GCF Formula

Least Common Multiple of 99,50,498 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 99,50,498 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,50,498) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(99,50,498) x common factors =1 x 6 = 6

LCM(99,50,498) = ( 99 × 50 × 498 ) / 6

LCM(99,50,498) = 2465100 / 6

LCM(99,50,498) = 410850


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 97/99, 277/50, 126/498

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 97/99, 277/50, 126/498?

Answer: GCF of Numerators as per given numbers 97/99, 277/50, 126/498 is

GCF of Numerators i.e. for 97,277,126 is 1

LCM of denominators i.e. for 99,50,498 is 410850.

Thus, GCF of Fractions is 1/410850.Finally, GCF of Fractions for 97/99, 277/50, 126/498 is 1/410850.