Greatest Common Factor of 467/40, 361/50, 861/91

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 467/40, 361/50, 861/91

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 467/40,361/50,861/91

Given fractions are 467/40,361/50,861/91

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 467,361,861

Greatest Common Factor of Numerators i.e. GCF of 467,361,861 is 1 .

LCM of Denominators means LCM of 40,50,91 as per the given fractions.

LCM of 40,50,91 is 18200 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 467,361,861

GCF of Fractions 467/40,361/50,861/91 is 1/18200

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

Greatest Common Factor of 467,361,861 By Matching Biggest Common Factor Method

Greatest Common Factor of 467,361,861 By Matching Biggest Common Factor Method

Factors of 467

List of positive integer factors of 467 that divides 467 without a remainder.

1,467

Factors of 361

List of positive integer factors of 361 that divides 361 without a remainder.

1,19,361

Factors of 861

List of positive integer factors of 861 that divides 861 without a remainder.

1,3,7,21,41,123,287,861

Greatest Common Factor

We found the factors 467,361,861 . The biggest common factor number is the GCF number.
So the greatest common factor 467,361,861 is 1.

Lets's calculate LCM of 40,50,91

2 40, 50, 91
5 20, 25, 91
4, 5, 91

∴ So the LCM of the given numbers is 2 x 5 x 4 x 5 x 91 = 18200

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18200

Therefore, the GCF of Fractions 467/40,361/50,861/91 is 1/18200

Least Common Multiple of 40,50,91 with GCF Formula

Least Common Multiple of 40,50,91 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 40,50,91 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,50,91) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(40,50,91) x common factors =1 x 10 = 10

LCM(40,50,91) = ( 40 × 50 × 91 ) / 10

LCM(40,50,91) = 182000 / 10

LCM(40,50,91) = 18200


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 467/40, 361/50, 861/91

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 467/40, 361/50, 861/91?

Answer: GCF of Numerators as per given numbers 467/40, 361/50, 861/91 is

GCF of Numerators i.e. for 467,361,861 is 1

LCM of denominators i.e. for 40,50,91 is 18200.

Thus, GCF of Fractions is 1/18200.Finally, GCF of Fractions for 467/40, 361/50, 861/91 is 1/18200.