Greatest Common Factor of 527/29, 606/783

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 527/29, 606/783

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 527/29,606/783

Given fractions are 527/29,606/783

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 527,606

Greatest Common Factor of Numerators i.e. GCF of 527,606 is 1 .

LCM of Denominators means LCM of 29,783 as per the given fractions.

LCM of 29,783 is 783 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 527,606

GCF of Fractions 527/29,606/783 is 1/783

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

Greatest Common Factor of 527,606 By Matching Biggest Common Factor Method

Greatest Common Factor of 527,606 By Matching Biggest Common Factor Method

Factors of 527

List of positive integer factors of 527 that divides 527 without a remainder.

1,17,31,527

Factors of 606

List of positive integer factors of 606 that divides 606 without a remainder.

1,2,3,6,101,202,303,606

Greatest Common Factor

We found the factors 527,606 . The biggest common factor number is the GCF number.
So the greatest common factor 527,606 is 1.

Lets's calculate LCM of 29,783

29 29, 783
1, 27

∴ So the LCM of the given numbers is 29 x 1 x 27 = 783

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/783

Therefore, the GCF of Fractions 527/29,606/783 is 1/783

Least Common Multiple of 29,783 with GCF Formula

Least Common Multiple of 29,783 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 29,783 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,783) = 29

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

GCF(29,783) x common factors =29 x 1 = 29

LCM(29,783) = ( 29 × 783 ) / 29

LCM(29,783) = 22707 / 29

LCM(29,783) = 783


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 527/29, 606/783

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 527/29, 606/783?

Answer: GCF of Numerators as per given numbers 527/29, 606/783 is

GCF of Numerators i.e. for 527,606 is 1

LCM of denominators i.e. for 29,783 is 783.

Thus, GCF of Fractions is 1/783.Finally, GCF of Fractions for 527/29, 606/783 is 1/783.