Greatest Common Factor of 402/62, 790/71, 725/914

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 402/62, 790/71, 725/914

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 402/62,790/71,725/914

Given fractions are 402/62,790/71,725/914

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 402,790,725

Greatest Common Factor of Numerators i.e. GCF of 402,790,725 is 1 .

LCM of Denominators means LCM of 62,71,914 as per the given fractions.

LCM of 62,71,914 is 2011714 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 402,790,725

GCF of Fractions 402/62,790/71,725/914 is 1/2011714

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

Greatest Common Factor of 402,790,725 By Matching Biggest Common Factor Method

Greatest Common Factor of 402,790,725 By Matching Biggest Common Factor Method

Factors of 402

List of positive integer factors of 402 that divides 402 without a remainder.

1,2,3,6,67,134,201,402

Factors of 790

List of positive integer factors of 790 that divides 790 without a remainder.

1,2,5,10,79,158,395,790

Factors of 725

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

1,5,25,29,145,725

Greatest Common Factor

We found the factors 402,790,725 . The biggest common factor number is the GCF number.
So the greatest common factor 402,790,725 is 1.

Lets's calculate LCM of 62,71,914

2 62, 71, 914
31, 71, 457

∴ So the LCM of the given numbers is 2 x 31 x 71 x 457 = 2011714

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2011714

Therefore, the GCF of Fractions 402/62,790/71,725/914 is 1/2011714

Least Common Multiple of 62,71,914 with GCF Formula

Least Common Multiple of 62,71,914 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 62,71,914 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(62,71,914) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(62,71,914) x common factors =1 x 2 = 2

LCM(62,71,914) = ( 62 × 71 × 914 ) / 2

LCM(62,71,914) = 4023428 / 2

LCM(62,71,914) = 2011714


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 402/62, 790/71, 725/914

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 402/62, 790/71, 725/914?

Answer: GCF of Numerators as per given numbers 402/62, 790/71, 725/914 is

GCF of Numerators i.e. for 402,790,725 is 1

LCM of denominators i.e. for 62,71,914 is 2011714.

Thus, GCF of Fractions is 1/2011714.Finally, GCF of Fractions for 402/62, 790/71, 725/914 is 1/2011714.