Greatest Common Factor of 253/769, 548/348, 110/462

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 253/769, 548/348, 110/462

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 253/769,548/348,110/462

Given fractions are 253/769,548/348,110/462

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 253,548,110

Greatest Common Factor of Numerators i.e. GCF of 253,548,110 is 1 .

LCM of Denominators means LCM of 769,348,462 as per the given fractions.

LCM of 769,348,462 is 20606124 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 253,548,110

GCF of Fractions 253/769,548/348,110/462 is 1/20606124

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

Greatest Common Factor of 253,548,110 By Matching Biggest Common Factor Method

Greatest Common Factor of 253,548,110 By Matching Biggest Common Factor Method

Factors of 253

List of positive integer factors of 253 that divides 253 without a remainder.

1,11,23,253

Factors of 548

List of positive integer factors of 548 that divides 548 without a remainder.

1,2,4,137,274,548

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 253,548,110 . The biggest common factor number is the GCF number.
So the greatest common factor 253,548,110 is 1.

Lets's calculate LCM of 769,348,462

2 769, 348, 462
3 769, 174, 231
769, 58, 77

∴ So the LCM of the given numbers is 2 x 3 x 769 x 58 x 77 = 20606124

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20606124

Therefore, the GCF of Fractions 253/769,548/348,110/462 is 1/20606124

Least Common Multiple of 769,348,462 with GCF Formula

Least Common Multiple of 769,348,462 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 769,348,462 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(769,348,462) = 1

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

GCF(769,348,462) x common factors =1 x 6 = 6

LCM(769,348,462) = ( 769 × 348 × 462 ) / 6

LCM(769,348,462) = 123636744 / 6

LCM(769,348,462) = 20606124


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 253/769, 548/348, 110/462

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 253/769, 548/348, 110/462?

Answer: GCF of Numerators as per given numbers 253/769, 548/348, 110/462 is

GCF of Numerators i.e. for 253,548,110 is 1

LCM of denominators i.e. for 769,348,462 is 20606124.

Thus, GCF of Fractions is 1/20606124.Finally, GCF of Fractions for 253/769, 548/348, 110/462 is 1/20606124.