Greatest Common Factor of 757/589, 6783/495

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 757/589, 6783/495

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 757/589,6783/495

Given fractions are 757/589,6783/495

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 757,6783

Greatest Common Factor of Numerators i.e. GCF of 757,6783 is 1 .

LCM of Denominators means LCM of 589,495 as per the given fractions.

LCM of 589,495 is 291555 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 757,6783

GCF of Fractions 757/589,6783/495 is 1/291555

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

Greatest Common Factor of 757,6783 By Matching Biggest Common Factor Method

Greatest Common Factor of 757,6783 By Matching Biggest Common Factor Method

Factors of 757

List of positive integer factors of 757 that divides 757 without a remainder.

1,757

Factors of 6783

List of positive integer factors of 6783 that divides 6783 without a remainder.

1,3,7,17,19,21,51,57,119,133,323,357,399,969,2261,6783

Greatest Common Factor

We found the factors 757,6783 . The biggest common factor number is the GCF number.
So the greatest common factor 757,6783 is 1.

Lets's calculate LCM of 589,495

Given numbers has no common factors except 1. So, there LCM is their product i.e 291555

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/291555

Therefore, the GCF of Fractions 757/589,6783/495 is 1/291555

Least Common Multiple of 589,495 with GCF Formula

Least Common Multiple of 589,495 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 589,495 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(589,495) = 1

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

GCF(589,495) x common factors =1 x 1 = 1

LCM(589,495) = ( 589 × 495 ) / 1

LCM(589,495) = 291555 / 1

LCM(589,495) = 291555


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 757/589, 6783/495

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 757/589, 6783/495?

Answer: GCF of Numerators as per given numbers 757/589, 6783/495 is

GCF of Numerators i.e. for 757,6783 is 1

LCM of denominators i.e. for 589,495 is 291555.

Thus, GCF of Fractions is 1/291555.Finally, GCF of Fractions for 757/589, 6783/495 is 1/291555.