Greatest Common Factor of 29/914, 605/111, 652/275

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 29/914, 605/111, 652/275

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 29/914,605/111,652/275

Given fractions are 29/914,605/111,652/275

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 29,605,652

Greatest Common Factor of Numerators i.e. GCF of 29,605,652 is 1 .

LCM of Denominators means LCM of 914,111,275 as per the given fractions.

LCM of 914,111,275 is 27899850 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 29,605,652

GCF of Fractions 29/914,605/111,652/275 is 1/27899850

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

Greatest Common Factor of 29,605,652 By Matching Biggest Common Factor Method

Greatest Common Factor of 29,605,652 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 605

List of positive integer factors of 605 that divides 605 without a remainder.

1,5,11,55,121,605

Factors of 652

List of positive integer factors of 652 that divides 652 without a remainder.

1,2,4,163,326,652

Greatest Common Factor

We found the factors 29,605,652 . The biggest common factor number is the GCF number.
So the greatest common factor 29,605,652 is 1.

Lets's calculate LCM of 914,111,275

Given numbers has no common factors except 1. So, there LCM is their product i.e 27899850

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/27899850

Therefore, the GCF of Fractions 29/914,605/111,652/275 is 1/27899850

Least Common Multiple of 914,111,275 with GCF Formula

Least Common Multiple of 914,111,275 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 914,111,275 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(914,111,275) = 1

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

GCF(914,111,275) x common factors =1 x 1 = 1

LCM(914,111,275) = ( 914 × 111 × 275 ) / 1

LCM(914,111,275) = 27899850 / 1

LCM(914,111,275) = 27899850


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 29/914, 605/111, 652/275

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 29/914, 605/111, 652/275?

Answer: GCF of Numerators as per given numbers 29/914, 605/111, 652/275 is

GCF of Numerators i.e. for 29,605,652 is 1

LCM of denominators i.e. for 914,111,275 is 27899850.

Thus, GCF of Fractions is 1/27899850.Finally, GCF of Fractions for 29/914, 605/111, 652/275 is 1/27899850.