Greatest Common Factor of 9/45, 23/24, 57/126, 831/682

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9/45, 23/24, 57/126, 831/682

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 9/45,23/24,57/126,831/682

Given fractions are 9/45,23/24,57/126,831/682

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 9,23,57,831

Greatest Common Factor of Numerators i.e. GCF of 9,23,57,831 is 1 .

LCM of Denominators means LCM of 45,24,126,682 as per the given fractions.

LCM of 45,24,126,682 is 859320 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9,23,57,831

GCF of Fractions 9/45,23/24,57/126,831/682 is 1/859320

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

Greatest Common Factor of 9,23,57,831 By Matching Biggest Common Factor Method

Greatest Common Factor of 9,23,57,831 By Matching Biggest Common Factor Method

Factors of 9

List of positive integer factors of 9 that divides 9 without a remainder.

1,3,9

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 831

List of positive integer factors of 831 that divides 831 without a remainder.

1,3,277,831

Greatest Common Factor

We found the factors 9,23,57,831 . The biggest common factor number is the GCF number.
So the greatest common factor 9,23,57,831 is 1.

Lets's calculate LCM of 45,24,126,682

2 45, 24, 126, 682
3 45, 12, 63, 341
3 15, 4, 21, 341
5, 4, 7, 341

∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 4 x 7 x 341 = 859320

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/859320

Therefore, the GCF of Fractions 9/45,23/24,57/126,831/682 is 1/859320

Least Common Multiple of 45,24,126,682 with GCF Formula

Least Common Multiple of 45,24,126,682 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 45,24,126,682 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,24,126,682) = 1

common factors(in case of two or more numbers have common factors) = 108

GCF(45,24,126,682) x common factors =1 x 108 = 108

LCM(45,24,126,682) = ( 45 × 24 × 126 × 682 ) / 108

LCM(45,24,126,682) = 92806560 / 108

LCM(45,24,126,682) = 859320


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 9/45, 23/24, 57/126, 831/682

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 9/45, 23/24, 57/126, 831/682?

Answer: GCF of Numerators as per given numbers 9/45, 23/24, 57/126, 831/682 is

GCF of Numerators i.e. for 9,23,57,831 is 1

LCM of denominators i.e. for 45,24,126,682 is 859320.

Thus, GCF of Fractions is 1/859320.Finally, GCF of Fractions for 9/45, 23/24, 57/126, 831/682 is 1/859320.