Greatest Common Factor of 677/31, 447/15, 761/541

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 677/31, 447/15, 761/541

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 677/31,447/15,761/541

Given fractions are 677/31,447/15,761/541

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 677,447,761

Greatest Common Factor of Numerators i.e. GCF of 677,447,761 is 1 .

LCM of Denominators means LCM of 31,15,541 as per the given fractions.

LCM of 31,15,541 is 251565 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 677,447,761

GCF of Fractions 677/31,447/15,761/541 is 1/251565

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

Greatest Common Factor of 677,447,761 By Matching Biggest Common Factor Method

Greatest Common Factor of 677,447,761 By Matching Biggest Common Factor Method

Factors of 677

List of positive integer factors of 677 that divides 677 without a remainder.

1,677

Factors of 447

List of positive integer factors of 447 that divides 447 without a remainder.

1,3,149,447

Factors of 761

List of positive integer factors of 761 that divides 761 without a remainder.

1,761

Greatest Common Factor

We found the factors 677,447,761 . The biggest common factor number is the GCF number.
So the greatest common factor 677,447,761 is 1.

Lets's calculate LCM of 31,15,541

Given numbers has no common factors except 1. So, there LCM is their product i.e 251565

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/251565

Therefore, the GCF of Fractions 677/31,447/15,761/541 is 1/251565

Least Common Multiple of 31,15,541 with GCF Formula

Least Common Multiple of 31,15,541 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 31,15,541 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,15,541) = 1

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

GCF(31,15,541) x common factors =1 x 1 = 1

LCM(31,15,541) = ( 31 × 15 × 541 ) / 1

LCM(31,15,541) = 251565 / 1

LCM(31,15,541) = 251565


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 677/31, 447/15, 761/541

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 677/31, 447/15, 761/541?

Answer: GCF of Numerators as per given numbers 677/31, 447/15, 761/541 is

GCF of Numerators i.e. for 677,447,761 is 1

LCM of denominators i.e. for 31,15,541 is 251565.

Thus, GCF of Fractions is 1/251565.Finally, GCF of Fractions for 677/31, 447/15, 761/541 is 1/251565.