Greatest Common Factor of 53/17, 95/47, 486/154

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 53/17, 95/47, 486/154

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 53/17,95/47,486/154

Given fractions are 53/17,95/47,486/154

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 53,95,486

Greatest Common Factor of Numerators i.e. GCF of 53,95,486 is 1 .

LCM of Denominators means LCM of 17,47,154 as per the given fractions.

LCM of 17,47,154 is 123046 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 53,95,486

GCF of Fractions 53/17,95/47,486/154 is 1/123046

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

Greatest Common Factor of 53,95,486 By Matching Biggest Common Factor Method

Greatest Common Factor of 53,95,486 By Matching Biggest Common Factor Method

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 486

List of positive integer factors of 486 that divides 486 without a remainder.

1,2,3,6,9,18,27,54,81,162,243,486

Greatest Common Factor

We found the factors 53,95,486 . The biggest common factor number is the GCF number.
So the greatest common factor 53,95,486 is 1.

Lets's calculate LCM of 17,47,154

Given numbers has no common factors except 1. So, there LCM is their product i.e 123046

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/123046

Therefore, the GCF of Fractions 53/17,95/47,486/154 is 1/123046

Least Common Multiple of 17,47,154 with GCF Formula

Least Common Multiple of 17,47,154 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 17,47,154 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,47,154) = 1

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

GCF(17,47,154) x common factors =1 x 1 = 1

LCM(17,47,154) = ( 17 × 47 × 154 ) / 1

LCM(17,47,154) = 123046 / 1

LCM(17,47,154) = 123046


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 53/17, 95/47, 486/154

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 53/17, 95/47, 486/154?

Answer: GCF of Numerators as per given numbers 53/17, 95/47, 486/154 is

GCF of Numerators i.e. for 53,95,486 is 1

LCM of denominators i.e. for 17,47,154 is 123046.

Thus, GCF of Fractions is 1/123046.Finally, GCF of Fractions for 53/17, 95/47, 486/154 is 1/123046.