Greatest Common Factor of 65/270, 413/639, 574/705

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 65/270, 413/639, 574/705

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 65/270,413/639,574/705

Given fractions are 65/270,413/639,574/705

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 65,413,574

Greatest Common Factor of Numerators i.e. GCF of 65,413,574 is 1 .

LCM of Denominators means LCM of 270,639,705 as per the given fractions.

LCM of 270,639,705 is 900990 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 65,413,574

GCF of Fractions 65/270,413/639,574/705 is 1/900990

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

Greatest Common Factor of 65,413,574 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,413,574 By Matching Biggest Common Factor Method

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 413

List of positive integer factors of 413 that divides 413 without a remainder.

1,7,59,413

Factors of 574

List of positive integer factors of 574 that divides 574 without a remainder.

1,2,7,14,41,82,287,574

Greatest Common Factor

We found the factors 65,413,574 . The biggest common factor number is the GCF number.
So the greatest common factor 65,413,574 is 1.

Lets's calculate LCM of 270,639,705

3 270, 639, 705
3 90, 213, 235
5 30, 71, 235
6, 71, 47

∴ So the LCM of the given numbers is 3 x 3 x 5 x 6 x 71 x 47 = 900990

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/900990

Therefore, the GCF of Fractions 65/270,413/639,574/705 is 1/900990

Least Common Multiple of 270,639,705 with GCF Formula

Least Common Multiple of 270,639,705 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 270,639,705 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(270,639,705) = 3

common factors(in case of two or more numbers have common factors) = 45

GCF(270,639,705) x common factors =3 x 45 = 135

LCM(270,639,705) = ( 270 × 639 × 705 ) / 135

LCM(270,639,705) = 121633650 / 135

LCM(270,639,705) = 900990


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 65/270, 413/639, 574/705

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 65/270, 413/639, 574/705?

Answer: GCF of Numerators as per given numbers 65/270, 413/639, 574/705 is

GCF of Numerators i.e. for 65,413,574 is 1

LCM of denominators i.e. for 270,639,705 is 900990.

Thus, GCF of Fractions is 1/900990.Finally, GCF of Fractions for 65/270, 413/639, 574/705 is 1/900990.