Greatest Common Factor of 725/870, 459/420, 271/292

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 725/870, 459/420, 271/292

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 725/870,459/420,271/292

Given fractions are 725/870,459/420,271/292

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 725,459,271

Greatest Common Factor of Numerators i.e. GCF of 725,459,271 is 1 .

LCM of Denominators means LCM of 870,420,292 as per the given fractions.

LCM of 870,420,292 is 889140 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 725,459,271

GCF of Fractions 725/870,459/420,271/292 is 1/889140

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

Greatest Common Factor of 725,459,271 By Matching Biggest Common Factor Method

Greatest Common Factor of 725,459,271 By Matching Biggest Common Factor Method

Factors of 725

List of positive integer factors of 725 that divides 725 without a remainder.

1,5,25,29,145,725

Factors of 459

List of positive integer factors of 459 that divides 459 without a remainder.

1,3,9,17,27,51,153,459

Factors of 271

List of positive integer factors of 271 that divides 271 without a remainder.

1,271

Greatest Common Factor

We found the factors 725,459,271 . The biggest common factor number is the GCF number.
So the greatest common factor 725,459,271 is 1.

Lets's calculate LCM of 870,420,292

2 870, 420, 292
2 435, 210, 146
3 435, 105, 73
5 145, 35, 73
29, 7, 73

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 29 x 7 x 73 = 889140

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/889140

Therefore, the GCF of Fractions 725/870,459/420,271/292 is 1/889140

Least Common Multiple of 870,420,292 with GCF Formula

Least Common Multiple of 870,420,292 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 870,420,292 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(870,420,292) = 2

common factors(in case of two or more numbers have common factors) = 60

GCF(870,420,292) x common factors =2 x 60 = 120

LCM(870,420,292) = ( 870 × 420 × 292 ) / 120

LCM(870,420,292) = 106696800 / 120

LCM(870,420,292) = 889140


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 725/870, 459/420, 271/292

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 725/870, 459/420, 271/292?

Answer: GCF of Numerators as per given numbers 725/870, 459/420, 271/292 is

GCF of Numerators i.e. for 725,459,271 is 1

LCM of denominators i.e. for 870,420,292 is 889140.

Thus, GCF of Fractions is 1/889140.Finally, GCF of Fractions for 725/870, 459/420, 271/292 is 1/889140.