Greatest Common Factor of 51/23, 448/71, 917/749

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 51/23, 448/71, 917/749

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 51/23,448/71,917/749

Given fractions are 51/23,448/71,917/749

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 51,448,917

Greatest Common Factor of Numerators i.e. GCF of 51,448,917 is 1 .

LCM of Denominators means LCM of 23,71,749 as per the given fractions.

LCM of 23,71,749 is 1223117 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 51,448,917

GCF of Fractions 51/23,448/71,917/749 is 1/1223117

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

Greatest Common Factor of 51,448,917 By Matching Biggest Common Factor Method

Greatest Common Factor of 51,448,917 By Matching Biggest Common Factor Method

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 448

List of positive integer factors of 448 that divides 448 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,224,448

Factors of 917

List of positive integer factors of 917 that divides 917 without a remainder.

1,7,131,917

Greatest Common Factor

We found the factors 51,448,917 . The biggest common factor number is the GCF number.
So the greatest common factor 51,448,917 is 1.

Lets's calculate LCM of 23,71,749

Given numbers has no common factors except 1. So, there LCM is their product i.e 1223117

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1223117

Therefore, the GCF of Fractions 51/23,448/71,917/749 is 1/1223117

Least Common Multiple of 23,71,749 with GCF Formula

Least Common Multiple of 23,71,749 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 23,71,749 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,71,749) = 1

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

GCF(23,71,749) x common factors =1 x 1 = 1

LCM(23,71,749) = ( 23 × 71 × 749 ) / 1

LCM(23,71,749) = 1223117 / 1

LCM(23,71,749) = 1223117


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 51/23, 448/71, 917/749

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 51/23, 448/71, 917/749?

Answer: GCF of Numerators as per given numbers 51/23, 448/71, 917/749 is

GCF of Numerators i.e. for 51,448,917 is 1

LCM of denominators i.e. for 23,71,749 is 1223117.

Thus, GCF of Fractions is 1/1223117.Finally, GCF of Fractions for 51/23, 448/71, 917/749 is 1/1223117.