Greatest Common Factor of 64/39, 26/349, 526/685

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 64/39, 26/349, 526/685

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 64/39,26/349,526/685

Given fractions are 64/39,26/349,526/685

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 64,26,526

Greatest Common Factor of Numerators i.e. GCF of 64,26,526 is 2 .

LCM of Denominators means LCM of 39,349,685 as per the given fractions.

LCM of 39,349,685 is 9323535 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 64,26,526

GCF of Fractions 64/39,26/349,526/685 is 2/9323535

2 64, 26, 526
32, 13, 263

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 64,26,526 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,26,526 By Matching Biggest Common Factor Method

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 526

List of positive integer factors of 526 that divides 526 without a remainder.

1,2,263,526

Greatest Common Factor

We found the factors 64,26,526 . The biggest common factor number is the GCF number.
So the greatest common factor 64,26,526 is 2.

Lets's calculate LCM of 39,349,685

Given numbers has no common factors except 1. So, there LCM is their product i.e 9323535

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/9323535

Therefore, the GCF of Fractions 64/39,26/349,526/685 is 2/9323535

Least Common Multiple of 39,349,685 with GCF Formula

Least Common Multiple of 39,349,685 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 39,349,685 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,349,685) = 1

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

GCF(39,349,685) x common factors =1 x 1 = 1

LCM(39,349,685) = ( 39 × 349 × 685 ) / 1

LCM(39,349,685) = 9323535 / 1

LCM(39,349,685) = 9323535


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 64/39, 26/349, 526/685

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 64/39, 26/349, 526/685?

Answer: GCF of Numerators as per given numbers 64/39, 26/349, 526/685 is

GCF of Numerators i.e. for 64,26,526 is 2

LCM of denominators i.e. for 39,349,685 is 9323535.

Thus, GCF of Fractions is 2/9323535.Finally, GCF of Fractions for 64/39, 26/349, 526/685 is 2/9323535.