Greatest Common Factor of 1531/675, 9526/818

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1531/675, 9526/818

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 1531/675,9526/818

Given fractions are 1531/675,9526/818

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 1531,9526

Greatest Common Factor of Numerators i.e. GCF of 1531,9526 is 1 .

LCM of Denominators means LCM of 675,818 as per the given fractions.

LCM of 675,818 is 552150 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1531,9526

GCF of Fractions 1531/675,9526/818 is 1/552150

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

Greatest Common Factor of 1531,9526 By Matching Biggest Common Factor Method

Greatest Common Factor of 1531,9526 By Matching Biggest Common Factor Method

Factors of 1531

List of positive integer factors of 1531 that divides 1531 without a remainder.

1,1531

Factors of 9526

List of positive integer factors of 9526 that divides 9526 without a remainder.

1,2,11,22,433,866,4763,9526

Greatest Common Factor

We found the factors 1531,9526 . The biggest common factor number is the GCF number.
So the greatest common factor 1531,9526 is 1.

Lets's calculate LCM of 675,818

Given numbers has no common factors except 1. So, there LCM is their product i.e 552150

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/552150

Therefore, the GCF of Fractions 1531/675,9526/818 is 1/552150

Least Common Multiple of 675,818 with GCF Formula

Least Common Multiple of 675,818 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 675,818 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(675,818) = 1

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

GCF(675,818) x common factors =1 x 1 = 1

LCM(675,818) = ( 675 × 818 ) / 1

LCM(675,818) = 552150 / 1

LCM(675,818) = 552150


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 1531/675, 9526/818

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 1531/675, 9526/818?

Answer: GCF of Numerators as per given numbers 1531/675, 9526/818 is

GCF of Numerators i.e. for 1531,9526 is 1

LCM of denominators i.e. for 675,818 is 552150.

Thus, GCF of Fractions is 1/552150.Finally, GCF of Fractions for 1531/675, 9526/818 is 1/552150.