Greatest Common Factor of 655/29, 382/25, 734/106

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 655/29, 382/25, 734/106

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 655/29,382/25,734/106

Given fractions are 655/29,382/25,734/106

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 655,382,734

Greatest Common Factor of Numerators i.e. GCF of 655,382,734 is 1 .

LCM of Denominators means LCM of 29,25,106 as per the given fractions.

LCM of 29,25,106 is 76850 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 655,382,734

GCF of Fractions 655/29,382/25,734/106 is 1/76850

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

Greatest Common Factor of 655,382,734 By Matching Biggest Common Factor Method

Greatest Common Factor of 655,382,734 By Matching Biggest Common Factor Method

Factors of 655

List of positive integer factors of 655 that divides 655 without a remainder.

1,5,131,655

Factors of 382

List of positive integer factors of 382 that divides 382 without a remainder.

1,2,191,382

Factors of 734

List of positive integer factors of 734 that divides 734 without a remainder.

1,2,367,734

Greatest Common Factor

We found the factors 655,382,734 . The biggest common factor number is the GCF number.
So the greatest common factor 655,382,734 is 1.

Lets's calculate LCM of 29,25,106

Given numbers has no common factors except 1. So, there LCM is their product i.e 76850

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/76850

Therefore, the GCF of Fractions 655/29,382/25,734/106 is 1/76850

Least Common Multiple of 29,25,106 with GCF Formula

Least Common Multiple of 29,25,106 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 29,25,106 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,25,106) = 1

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

GCF(29,25,106) x common factors =1 x 1 = 1

LCM(29,25,106) = ( 29 × 25 × 106 ) / 1

LCM(29,25,106) = 76850 / 1

LCM(29,25,106) = 76850


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 655/29, 382/25, 734/106

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 655/29, 382/25, 734/106?

Answer: GCF of Numerators as per given numbers 655/29, 382/25, 734/106 is

GCF of Numerators i.e. for 655,382,734 is 1

LCM of denominators i.e. for 29,25,106 is 76850.

Thus, GCF of Fractions is 1/76850.Finally, GCF of Fractions for 655/29, 382/25, 734/106 is 1/76850.