Greatest Common Factor of 29/35, 714/97, 823/193

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 29/35, 714/97, 823/193

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 29/35,714/97,823/193

Given fractions are 29/35,714/97,823/193

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 29,714,823

Greatest Common Factor of Numerators i.e. GCF of 29,714,823 is 1 .

LCM of Denominators means LCM of 35,97,193 as per the given fractions.

LCM of 35,97,193 is 655235 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 29,714,823

GCF of Fractions 29/35,714/97,823/193 is 1/655235

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

Greatest Common Factor of 29,714,823 By Matching Biggest Common Factor Method

Greatest Common Factor of 29,714,823 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 714

List of positive integer factors of 714 that divides 714 without a remainder.

1,2,3,6,7,14,17,21,34,42,51,102,119,238,357,714

Factors of 823

List of positive integer factors of 823 that divides 823 without a remainder.

1,823

Greatest Common Factor

We found the factors 29,714,823 . The biggest common factor number is the GCF number.
So the greatest common factor 29,714,823 is 1.

Lets's calculate LCM of 35,97,193

Given numbers has no common factors except 1. So, there LCM is their product i.e 655235

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/655235

Therefore, the GCF of Fractions 29/35,714/97,823/193 is 1/655235

Least Common Multiple of 35,97,193 with GCF Formula

Least Common Multiple of 35,97,193 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 35,97,193 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,97,193) = 1

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

GCF(35,97,193) x common factors =1 x 1 = 1

LCM(35,97,193) = ( 35 × 97 × 193 ) / 1

LCM(35,97,193) = 655235 / 1

LCM(35,97,193) = 655235


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 29/35, 714/97, 823/193

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 29/35, 714/97, 823/193?

Answer: GCF of Numerators as per given numbers 29/35, 714/97, 823/193 is

GCF of Numerators i.e. for 29,714,823 is 1

LCM of denominators i.e. for 35,97,193 is 655235.

Thus, GCF of Fractions is 1/655235.Finally, GCF of Fractions for 29/35, 714/97, 823/193 is 1/655235.