Greatest Common Factor of 80/95, 23/22, 278/437

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 80/95, 23/22, 278/437

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 80/95,23/22,278/437

Given fractions are 80/95,23/22,278/437

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 80,23,278

Greatest Common Factor of Numerators i.e. GCF of 80,23,278 is 1 .

LCM of Denominators means LCM of 95,22,437 as per the given fractions.

LCM of 95,22,437 is 48070 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 80,23,278

GCF of Fractions 80/95,23/22,278/437 is 1/48070

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

Greatest Common Factor of 80,23,278 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,23,278 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 23

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

1,23

Factors of 278

List of positive integer factors of 278 that divides 278 without a remainder.

1,2,139,278

Greatest Common Factor

We found the factors 80,23,278 . The biggest common factor number is the GCF number.
So the greatest common factor 80,23,278 is 1.

Lets's calculate LCM of 95,22,437

19 95, 22, 437
5, 22, 23

∴ So the LCM of the given numbers is 19 x 5 x 22 x 23 = 48070

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/48070

Therefore, the GCF of Fractions 80/95,23/22,278/437 is 1/48070

Least Common Multiple of 95,22,437 with GCF Formula

Least Common Multiple of 95,22,437 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 95,22,437 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(95,22,437) = 1

common factors(in case of two or more numbers have common factors) = 19

GCF(95,22,437) x common factors =1 x 19 = 19

LCM(95,22,437) = ( 95 × 22 × 437 ) / 19

LCM(95,22,437) = 913330 / 19

LCM(95,22,437) = 48070


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 80/95, 23/22, 278/437

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 80/95, 23/22, 278/437?

Answer: GCF of Numerators as per given numbers 80/95, 23/22, 278/437 is

GCF of Numerators i.e. for 80,23,278 is 1

LCM of denominators i.e. for 95,22,437 is 48070.

Thus, GCF of Fractions is 1/48070.Finally, GCF of Fractions for 80/95, 23/22, 278/437 is 1/48070.