Greatest Common Factor of 527/420, 1522/606

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 527/420, 1522/606

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 527/420,1522/606

Given fractions are 527/420,1522/606

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 527,1522

Greatest Common Factor of Numerators i.e. GCF of 527,1522 is 1 .

LCM of Denominators means LCM of 420,606 as per the given fractions.

LCM of 420,606 is 42420 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 527,1522

GCF of Fractions 527/420,1522/606 is 1/42420

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

Greatest Common Factor of 527,1522 By Matching Biggest Common Factor Method

Greatest Common Factor of 527,1522 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 1522

List of positive integer factors of 1522 that divides 1522 without a remainder.

1,2,761,1522

Greatest Common Factor

We found the factors 527,1522 . The biggest common factor number is the GCF number.
So the greatest common factor 527,1522 is 1.

Lets's calculate LCM of 420,606

2 420, 606
3 210, 303
70, 101

∴ So the LCM of the given numbers is 2 x 3 x 70 x 101 = 42420

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/42420

Therefore, the GCF of Fractions 527/420,1522/606 is 1/42420

Least Common Multiple of 420,606 with GCF Formula

Least Common Multiple of 420,606 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 420,606 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(420,606) = 6

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

GCF(420,606) x common factors =6 x 1 = 6

LCM(420,606) = ( 420 × 606 ) / 6

LCM(420,606) = 254520 / 6

LCM(420,606) = 42420


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 527/420, 1522/606

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 527/420, 1522/606?

Answer: GCF of Numerators as per given numbers 527/420, 1522/606 is

GCF of Numerators i.e. for 527,1522 is 1

LCM of denominators i.e. for 420,606 is 42420.

Thus, GCF of Fractions is 1/42420.Finally, GCF of Fractions for 527/420, 1522/606 is 1/42420.