Greatest Common Factor of 1505/529, 9982/775

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1505/529, 9982/775

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 1505/529,9982/775

Given fractions are 1505/529,9982/775

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 1505,9982

Greatest Common Factor of Numerators i.e. GCF of 1505,9982 is 7 .

LCM of Denominators means LCM of 529,775 as per the given fractions.

LCM of 529,775 is 409975 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1505,9982

GCF of Fractions 1505/529,9982/775 is 7/409975

7 1505, 9982
215, 1426

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 1505,9982 By Matching Biggest Common Factor Method

Greatest Common Factor of 1505,9982 By Matching Biggest Common Factor Method

Factors of 1505

List of positive integer factors of 1505 that divides 1505 without a remainder.

1,5,7,35,43,215,301,1505

Factors of 9982

List of positive integer factors of 9982 that divides 9982 without a remainder.

1,2,7,14,23,31,46,62,161,217,322,434,713,1426,4991,9982

Greatest Common Factor

We found the factors 1505,9982 . The biggest common factor number is the GCF number.
So the greatest common factor 1505,9982 is 7.

Lets's calculate LCM of 529,775

Given numbers has no common factors except 1. So, there LCM is their product i.e 409975

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/409975

Therefore, the GCF of Fractions 1505/529,9982/775 is 7/409975

Least Common Multiple of 529,775 with GCF Formula

Least Common Multiple of 529,775 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 529,775 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(529,775) = 1

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

GCF(529,775) x common factors =1 x 1 = 1

LCM(529,775) = ( 529 × 775 ) / 1

LCM(529,775) = 409975 / 1

LCM(529,775) = 409975


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 1505/529, 9982/775

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 1505/529, 9982/775?

Answer: GCF of Numerators as per given numbers 1505/529, 9982/775 is

GCF of Numerators i.e. for 1505,9982 is 7

LCM of denominators i.e. for 529,775 is 409975.

Thus, GCF of Fractions is 7/409975.Finally, GCF of Fractions for 1505/529, 9982/775 is 7/409975.