Greatest Common Factor of 497/49, 431/30, 977/338

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 497/49, 431/30, 977/338

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 497/49,431/30,977/338

Given fractions are 497/49,431/30,977/338

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 497,431,977

Greatest Common Factor of Numerators i.e. GCF of 497,431,977 is 1 .

LCM of Denominators means LCM of 49,30,338 as per the given fractions.

LCM of 49,30,338 is 248430 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 497,431,977

GCF of Fractions 497/49,431/30,977/338 is 1/248430

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

Greatest Common Factor of 497,431,977 By Matching Biggest Common Factor Method

Greatest Common Factor of 497,431,977 By Matching Biggest Common Factor Method

Factors of 497

List of positive integer factors of 497 that divides 497 without a remainder.

1,7,71,497

Factors of 431

List of positive integer factors of 431 that divides 431 without a remainder.

1,431

Factors of 977

List of positive integer factors of 977 that divides 977 without a remainder.

1,977

Greatest Common Factor

We found the factors 497,431,977 . The biggest common factor number is the GCF number.
So the greatest common factor 497,431,977 is 1.

Lets's calculate LCM of 49,30,338

2 49, 30, 338
49, 15, 169

∴ So the LCM of the given numbers is 2 x 49 x 15 x 169 = 248430

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/248430

Therefore, the GCF of Fractions 497/49,431/30,977/338 is 1/248430

Least Common Multiple of 49,30,338 with GCF Formula

Least Common Multiple of 49,30,338 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 49,30,338 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,30,338) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(49,30,338) x common factors =1 x 2 = 2

LCM(49,30,338) = ( 49 × 30 × 338 ) / 2

LCM(49,30,338) = 496860 / 2

LCM(49,30,338) = 248430


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 497/49, 431/30, 977/338

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 497/49, 431/30, 977/338?

Answer: GCF of Numerators as per given numbers 497/49, 431/30, 977/338 is

GCF of Numerators i.e. for 497,431,977 is 1

LCM of denominators i.e. for 49,30,338 is 248430.

Thus, GCF of Fractions is 1/248430.Finally, GCF of Fractions for 497/49, 431/30, 977/338 is 1/248430.