Greatest Common Factor of 465/51, 817/85, 919/136

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 465/51, 817/85, 919/136

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 465/51,817/85,919/136

Given fractions are 465/51,817/85,919/136

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 465,817,919

Greatest Common Factor of Numerators i.e. GCF of 465,817,919 is 1 .

LCM of Denominators means LCM of 51,85,136 as per the given fractions.

LCM of 51,85,136 is 2040 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 465,817,919

GCF of Fractions 465/51,817/85,919/136 is 1/2040

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

Greatest Common Factor of 465,817,919 By Matching Biggest Common Factor Method

Greatest Common Factor of 465,817,919 By Matching Biggest Common Factor Method

Factors of 465

List of positive integer factors of 465 that divides 465 without a remainder.

1,3,5,15,31,93,155,465

Factors of 817

List of positive integer factors of 817 that divides 817 without a remainder.

1,19,43,817

Factors of 919

List of positive integer factors of 919 that divides 919 without a remainder.

1,919

Greatest Common Factor

We found the factors 465,817,919 . The biggest common factor number is the GCF number.
So the greatest common factor 465,817,919 is 1.

Lets's calculate LCM of 51,85,136

17 51, 85, 136
3, 5, 8

∴ So the LCM of the given numbers is 17 x 3 x 5 x 8 = 2040

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2040

Therefore, the GCF of Fractions 465/51,817/85,919/136 is 1/2040

Least Common Multiple of 51,85,136 with GCF Formula

Least Common Multiple of 51,85,136 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 51,85,136 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,85,136) = 17

common factors(in case of two or more numbers have common factors) = 17

GCF(51,85,136) x common factors =17 x 17 = 289

LCM(51,85,136) = ( 51 × 85 × 136 ) / 289

LCM(51,85,136) = 589560 / 289

LCM(51,85,136) = 2040


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 465/51, 817/85, 919/136

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 465/51, 817/85, 919/136?

Answer: GCF of Numerators as per given numbers 465/51, 817/85, 919/136 is

GCF of Numerators i.e. for 465,817,919 is 1

LCM of denominators i.e. for 51,85,136 is 2040.

Thus, GCF of Fractions is 1/2040.Finally, GCF of Fractions for 465/51, 817/85, 919/136 is 1/2040.