Greatest Common Factor of 551/32, 468/44, 475/43

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 551/32, 468/44, 475/43

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 551/32,468/44,475/43

Given fractions are 551/32,468/44,475/43

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 551,468,475

Greatest Common Factor of Numerators i.e. GCF of 551,468,475 is 1 .

LCM of Denominators means LCM of 32,44,43 as per the given fractions.

LCM of 32,44,43 is 15136 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 551,468,475

GCF of Fractions 551/32,468/44,475/43 is 1/15136

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

Greatest Common Factor of 551,468,475 By Matching Biggest Common Factor Method

Greatest Common Factor of 551,468,475 By Matching Biggest Common Factor Method

Factors of 551

List of positive integer factors of 551 that divides 551 without a remainder.

1,19,29,551

Factors of 468

List of positive integer factors of 468 that divides 468 without a remainder.

1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468

Factors of 475

List of positive integer factors of 475 that divides 475 without a remainder.

1,5,19,25,95,475

Greatest Common Factor

We found the factors 551,468,475 . The biggest common factor number is the GCF number.
So the greatest common factor 551,468,475 is 1.

Lets's calculate LCM of 32,44,43

2 32, 44, 43
2 16, 22, 43
8, 11, 43

∴ So the LCM of the given numbers is 2 x 2 x 8 x 11 x 43 = 15136

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15136

Therefore, the GCF of Fractions 551/32,468/44,475/43 is 1/15136

Least Common Multiple of 32,44,43 with GCF Formula

Least Common Multiple of 32,44,43 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 32,44,43 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,44,43) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(32,44,43) x common factors =1 x 4 = 4

LCM(32,44,43) = ( 32 × 44 × 43 ) / 4

LCM(32,44,43) = 60544 / 4

LCM(32,44,43) = 15136


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 551/32, 468/44, 475/43

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 551/32, 468/44, 475/43?

Answer: GCF of Numerators as per given numbers 551/32, 468/44, 475/43 is

GCF of Numerators i.e. for 551,468,475 is 1

LCM of denominators i.e. for 32,44,43 is 15136.

Thus, GCF of Fractions is 1/15136.Finally, GCF of Fractions for 551/32, 468/44, 475/43 is 1/15136.