Greatest Common Factor of 759/32, 299/49, 675/975

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 759/32, 299/49, 675/975

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 759/32,299/49,675/975

Given fractions are 759/32,299/49,675/975

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 759,299,675

Greatest Common Factor of Numerators i.e. GCF of 759,299,675 is 1 .

LCM of Denominators means LCM of 32,49,975 as per the given fractions.

LCM of 32,49,975 is 1528800 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 759,299,675

GCF of Fractions 759/32,299/49,675/975 is 1/1528800

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

Greatest Common Factor of 759,299,675 By Matching Biggest Common Factor Method

Greatest Common Factor of 759,299,675 By Matching Biggest Common Factor Method

Factors of 759

List of positive integer factors of 759 that divides 759 without a remainder.

1,3,11,23,33,69,253,759

Factors of 299

List of positive integer factors of 299 that divides 299 without a remainder.

1,13,23,299

Factors of 675

List of positive integer factors of 675 that divides 675 without a remainder.

1,3,5,9,15,25,27,45,75,135,225,675

Greatest Common Factor

We found the factors 759,299,675 . The biggest common factor number is the GCF number.
So the greatest common factor 759,299,675 is 1.

Lets's calculate LCM of 32,49,975

Given numbers has no common factors except 1. So, there LCM is their product i.e 1528800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1528800

Therefore, the GCF of Fractions 759/32,299/49,675/975 is 1/1528800

Least Common Multiple of 32,49,975 with GCF Formula

Least Common Multiple of 32,49,975 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 32,49,975 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,49,975) = 1

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

GCF(32,49,975) x common factors =1 x 1 = 1

LCM(32,49,975) = ( 32 × 49 × 975 ) / 1

LCM(32,49,975) = 1528800 / 1

LCM(32,49,975) = 1528800


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 759/32, 299/49, 675/975

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 759/32, 299/49, 675/975?

Answer: GCF of Numerators as per given numbers 759/32, 299/49, 675/975 is

GCF of Numerators i.e. for 759,299,675 is 1

LCM of denominators i.e. for 32,49,975 is 1528800.

Thus, GCF of Fractions is 1/1528800.Finally, GCF of Fractions for 759/32, 299/49, 675/975 is 1/1528800.