Greatest Common Factor of 35/11, 125/34, 713/534

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 35/11, 125/34, 713/534

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 35/11,125/34,713/534

Given fractions are 35/11,125/34,713/534

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 35,125,713

Greatest Common Factor of Numerators i.e. GCF of 35,125,713 is 1 .

LCM of Denominators means LCM of 11,34,534 as per the given fractions.

LCM of 11,34,534 is 99858 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 35,125,713

GCF of Fractions 35/11,125/34,713/534 is 1/99858

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

Greatest Common Factor of 35,125,713 By Matching Biggest Common Factor Method

Greatest Common Factor of 35,125,713 By Matching Biggest Common Factor Method

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 125

List of positive integer factors of 125 that divides 125 without a remainder.

1,5,25,125

Factors of 713

List of positive integer factors of 713 that divides 713 without a remainder.

1,23,31,713

Greatest Common Factor

We found the factors 35,125,713 . The biggest common factor number is the GCF number.
So the greatest common factor 35,125,713 is 1.

Lets's calculate LCM of 11,34,534

2 11, 34, 534
11, 17, 267

∴ So the LCM of the given numbers is 2 x 11 x 17 x 267 = 99858

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/99858

Therefore, the GCF of Fractions 35/11,125/34,713/534 is 1/99858

Least Common Multiple of 11,34,534 with GCF Formula

Least Common Multiple of 11,34,534 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 11,34,534 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,34,534) = 1

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

GCF(11,34,534) x common factors =1 x 2 = 2

LCM(11,34,534) = ( 11 × 34 × 534 ) / 2

LCM(11,34,534) = 199716 / 2

LCM(11,34,534) = 99858


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 35/11, 125/34, 713/534

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 35/11, 125/34, 713/534?

Answer: GCF of Numerators as per given numbers 35/11, 125/34, 713/534 is

GCF of Numerators i.e. for 35,125,713 is 1

LCM of denominators i.e. for 11,34,534 is 99858.

Thus, GCF of Fractions is 1/99858.Finally, GCF of Fractions for 35/11, 125/34, 713/534 is 1/99858.