Greatest Common Factor of 435/69, 5365/139

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 435/69, 5365/139

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 435/69,5365/139

Given fractions are 435/69,5365/139

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 435,5365

Greatest Common Factor of Numerators i.e. GCF of 435,5365 is 145 .

LCM of Denominators means LCM of 69,139 as per the given fractions.

LCM of 69,139 is 9591 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 435,5365

GCF of Fractions 435/69,5365/139 is 145/9591

5 435, 5365
29 87, 1073
3, 37

∴ So the GCF of the given numbers is 5 x 29 = 145

Greatest Common Factor of 435,5365 By Matching Biggest Common Factor Method

Greatest Common Factor of 435,5365 By Matching Biggest Common Factor Method

Factors of 435

List of positive integer factors of 435 that divides 435 without a remainder.

1,3,5,15,29,87,145,435

Factors of 5365

List of positive integer factors of 5365 that divides 5365 without a remainder.

1,5,29,37,145,185,1073,5365

Greatest Common Factor

We found the factors 435,5365 . The biggest common factor number is the GCF number.
So the greatest common factor 435,5365 is 145.

Lets's calculate LCM of 69,139

Given numbers has no common factors except 1. So, there LCM is their product i.e 9591

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 145/9591

Therefore, the GCF of Fractions 435/69,5365/139 is 145/9591

Least Common Multiple of 69,139 with GCF Formula

Least Common Multiple of 69,139 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 69,139 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,139) = 1

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

GCF(69,139) x common factors =1 x 1 = 1

LCM(69,139) = ( 69 × 139 ) / 1

LCM(69,139) = 9591 / 1

LCM(69,139) = 9591


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 435/69, 5365/139

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 435/69, 5365/139?

Answer: GCF of Numerators as per given numbers 435/69, 5365/139 is

GCF of Numerators i.e. for 435,5365 is 145

LCM of denominators i.e. for 69,139 is 9591.

Thus, GCF of Fractions is 145/9591.Finally, GCF of Fractions for 435/69, 5365/139 is 145/9591.