Greatest Common Factor of 51/47, 469/75, 281/954

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 51/47, 469/75, 281/954

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 51/47,469/75,281/954

Given fractions are 51/47,469/75,281/954

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 51,469,281

Greatest Common Factor of Numerators i.e. GCF of 51,469,281 is 1 .

LCM of Denominators means LCM of 47,75,954 as per the given fractions.

LCM of 47,75,954 is 1120950 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 51,469,281

GCF of Fractions 51/47,469/75,281/954 is 1/1120950

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

Greatest Common Factor of 51,469,281 By Matching Biggest Common Factor Method

Greatest Common Factor of 51,469,281 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 469

List of positive integer factors of 469 that divides 469 without a remainder.

1,7,67,469

Factors of 281

List of positive integer factors of 281 that divides 281 without a remainder.

1,281

Greatest Common Factor

We found the factors 51,469,281 . The biggest common factor number is the GCF number.
So the greatest common factor 51,469,281 is 1.

Lets's calculate LCM of 47,75,954

3 47, 75, 954
47, 25, 318

∴ So the LCM of the given numbers is 3 x 47 x 25 x 318 = 1120950

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1120950

Therefore, the GCF of Fractions 51/47,469/75,281/954 is 1/1120950

Least Common Multiple of 47,75,954 with GCF Formula

Least Common Multiple of 47,75,954 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 47,75,954 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,75,954) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(47,75,954) x common factors =1 x 3 = 3

LCM(47,75,954) = ( 47 × 75 × 954 ) / 3

LCM(47,75,954) = 3362850 / 3

LCM(47,75,954) = 1120950


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 51/47, 469/75, 281/954

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 51/47, 469/75, 281/954?

Answer: GCF of Numerators as per given numbers 51/47, 469/75, 281/954 is

GCF of Numerators i.e. for 51,469,281 is 1

LCM of denominators i.e. for 47,75,954 is 1120950.

Thus, GCF of Fractions is 1/1120950.Finally, GCF of Fractions for 51/47, 469/75, 281/954 is 1/1120950.