Greatest Common Factor of 29/695, 725/286, 414/643

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 29/695, 725/286, 414/643

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 29/695,725/286,414/643

Given fractions are 29/695,725/286,414/643

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 29,725,414

Greatest Common Factor of Numerators i.e. GCF of 29,725,414 is 1 .

LCM of Denominators means LCM of 695,286,643 as per the given fractions.

LCM of 695,286,643 is 127809110 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 29,725,414

GCF of Fractions 29/695,725/286,414/643 is 1/127809110

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

Greatest Common Factor of 29,725,414 By Matching Biggest Common Factor Method

Greatest Common Factor of 29,725,414 By Matching Biggest Common Factor Method

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 725

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

1,5,25,29,145,725

Factors of 414

List of positive integer factors of 414 that divides 414 without a remainder.

1,2,3,6,9,18,23,46,69,138,207,414

Greatest Common Factor

We found the factors 29,725,414 . The biggest common factor number is the GCF number.
So the greatest common factor 29,725,414 is 1.

Lets's calculate LCM of 695,286,643

Given numbers has no common factors except 1. So, there LCM is their product i.e 127809110

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/127809110

Therefore, the GCF of Fractions 29/695,725/286,414/643 is 1/127809110

Least Common Multiple of 695,286,643 with GCF Formula

Least Common Multiple of 695,286,643 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 695,286,643 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(695,286,643) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(695,286,643) x common factors =1 x 1 = 1

LCM(695,286,643) = ( 695 × 286 × 643 ) / 1

LCM(695,286,643) = 127809110 / 1

LCM(695,286,643) = 127809110


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 29/695, 725/286, 414/643

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 29/695, 725/286, 414/643?

Answer: GCF of Numerators as per given numbers 29/695, 725/286, 414/643 is

GCF of Numerators i.e. for 29,725,414 is 1

LCM of denominators i.e. for 695,286,643 is 127809110.

Thus, GCF of Fractions is 1/127809110.Finally, GCF of Fractions for 29/695, 725/286, 414/643 is 1/127809110.