Greatest Common Factor of 34/51, 580/21, 365/465

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 34/51, 580/21, 365/465

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 34/51,580/21,365/465

Given fractions are 34/51,580/21,365/465

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 34,580,365

Greatest Common Factor of Numerators i.e. GCF of 34,580,365 is 1 .

LCM of Denominators means LCM of 51,21,465 as per the given fractions.

LCM of 51,21,465 is 55335 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 34,580,365

GCF of Fractions 34/51,580/21,365/465 is 1/55335

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

Greatest Common Factor of 34,580,365 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,580,365 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 580

List of positive integer factors of 580 that divides 580 without a remainder.

1,2,4,5,10,20,29,58,116,145,290,580

Factors of 365

List of positive integer factors of 365 that divides 365 without a remainder.

1,5,73,365

Greatest Common Factor

We found the factors 34,580,365 . The biggest common factor number is the GCF number.
So the greatest common factor 34,580,365 is 1.

Lets's calculate LCM of 51,21,465

3 51, 21, 465
17, 7, 155

∴ So the LCM of the given numbers is 3 x 17 x 7 x 155 = 55335

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/55335

Therefore, the GCF of Fractions 34/51,580/21,365/465 is 1/55335

Least Common Multiple of 51,21,465 with GCF Formula

Least Common Multiple of 51,21,465 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 51,21,465 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,21,465) = 3

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

GCF(51,21,465) x common factors =3 x 3 = 9

LCM(51,21,465) = ( 51 × 21 × 465 ) / 9

LCM(51,21,465) = 498015 / 9

LCM(51,21,465) = 55335


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 34/51, 580/21, 365/465

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 34/51, 580/21, 365/465?

Answer: GCF of Numerators as per given numbers 34/51, 580/21, 365/465 is

GCF of Numerators i.e. for 34,580,365 is 1

LCM of denominators i.e. for 51,21,465 is 55335.

Thus, GCF of Fractions is 1/55335.Finally, GCF of Fractions for 34/51, 580/21, 365/465 is 1/55335.