Greatest Common Factor of 1/95, 77/92, 18/309, 224/851

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1/95, 77/92, 18/309, 224/851

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 1/95,77/92,18/309,224/851

Given fractions are 1/95,77/92,18/309,224/851

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 1,77,18,224

Greatest Common Factor of Numerators i.e. GCF of 1,77,18,224 is 1 .

LCM of Denominators means LCM of 95,92,309,851 as per the given fractions.

LCM of 95,92,309,851 is 99924420 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1,77,18,224

GCF of Fractions 1/95,77/92,18/309,224/851 is 1/99924420

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

Greatest Common Factor of 1,77,18,224 By Matching Biggest Common Factor Method

Greatest Common Factor of 1,77,18,224 By Matching Biggest Common Factor Method

Factors of 1

List of positive integer factors of 1 that divides 1 without a remainder.

1

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 224

List of positive integer factors of 224 that divides 224 without a remainder.

1,2,4,7,8,14,16,28,32,56,112,224

Greatest Common Factor

We found the factors 1,77,18,224 . The biggest common factor number is the GCF number.
So the greatest common factor 1,77,18,224 is 1.

Lets's calculate LCM of 95,92,309,851

23 95, 92, 309, 851
95, 4, 309, 37

∴ So the LCM of the given numbers is 23 x 95 x 4 x 309 x 37 = 99924420

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/99924420

Therefore, the GCF of Fractions 1/95,77/92,18/309,224/851 is 1/99924420

Least Common Multiple of 95,92,309,851 with GCF Formula

Least Common Multiple of 95,92,309,851 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 95,92,309,851 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(95,92,309,851) = 1

common factors(in case of two or more numbers have common factors) = 23

GCF(95,92,309,851) x common factors =1 x 23 = 23

LCM(95,92,309,851) = ( 95 × 92 × 309 × 851 ) / 23

LCM(95,92,309,851) = 2298261660 / 23

LCM(95,92,309,851) = 99924420


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 1/95, 77/92, 18/309, 224/851

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 1/95, 77/92, 18/309, 224/851?

Answer: GCF of Numerators as per given numbers 1/95, 77/92, 18/309, 224/851 is

GCF of Numerators i.e. for 1,77,18,224 is 1

LCM of denominators i.e. for 95,92,309,851 is 99924420.

Thus, GCF of Fractions is 1/99924420.Finally, GCF of Fractions for 1/95, 77/92, 18/309, 224/851 is 1/99924420.