Greatest Common Factor of 455/37, 814/21, 103/45

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 455/37, 814/21, 103/45

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 455/37,814/21,103/45

Given fractions are 455/37,814/21,103/45

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 455,814,103

Greatest Common Factor of Numerators i.e. GCF of 455,814,103 is 1 .

LCM of Denominators means LCM of 37,21,45 as per the given fractions.

LCM of 37,21,45 is 11655 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 455,814,103

GCF of Fractions 455/37,814/21,103/45 is 1/11655

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

Greatest Common Factor of 455,814,103 By Matching Biggest Common Factor Method

Greatest Common Factor of 455,814,103 By Matching Biggest Common Factor Method

Factors of 455

List of positive integer factors of 455 that divides 455 without a remainder.

1,5,7,13,35,65,91,455

Factors of 814

List of positive integer factors of 814 that divides 814 without a remainder.

1,2,11,22,37,74,407,814

Factors of 103

List of positive integer factors of 103 that divides 103 without a remainder.

1,103

Greatest Common Factor

We found the factors 455,814,103 . The biggest common factor number is the GCF number.
So the greatest common factor 455,814,103 is 1.

Lets's calculate LCM of 37,21,45

3 37, 21, 45
37, 7, 15

∴ So the LCM of the given numbers is 3 x 37 x 7 x 15 = 11655

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11655

Therefore, the GCF of Fractions 455/37,814/21,103/45 is 1/11655

Least Common Multiple of 37,21,45 with GCF Formula

Least Common Multiple of 37,21,45 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 37,21,45 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,21,45) = 1

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

GCF(37,21,45) x common factors =1 x 3 = 3

LCM(37,21,45) = ( 37 × 21 × 45 ) / 3

LCM(37,21,45) = 34965 / 3

LCM(37,21,45) = 11655


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 455/37, 814/21, 103/45

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 455/37, 814/21, 103/45?

Answer: GCF of Numerators as per given numbers 455/37, 814/21, 103/45 is

GCF of Numerators i.e. for 455,814,103 is 1

LCM of denominators i.e. for 37,21,45 is 11655.

Thus, GCF of Fractions is 1/11655.Finally, GCF of Fractions for 455/37, 814/21, 103/45 is 1/11655.