Greatest Common Factor of 145/268, 9531/863

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 145/268, 9531/863

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 145/268,9531/863

Given fractions are 145/268,9531/863

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 145,9531

Greatest Common Factor of Numerators i.e. GCF of 145,9531 is 1 .

LCM of Denominators means LCM of 268,863 as per the given fractions.

LCM of 268,863 is 231284 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 145,9531

GCF of Fractions 145/268,9531/863 is 1/231284

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

Greatest Common Factor of 145,9531 By Matching Biggest Common Factor Method

Greatest Common Factor of 145,9531 By Matching Biggest Common Factor Method

Factors of 145

List of positive integer factors of 145 that divides 145 without a remainder.

1,5,29,145

Factors of 9531

List of positive integer factors of 9531 that divides 9531 without a remainder.

1,3,9,27,353,1059,3177,9531

Greatest Common Factor

We found the factors 145,9531 . The biggest common factor number is the GCF number.
So the greatest common factor 145,9531 is 1.

Lets's calculate LCM of 268,863

Given numbers has no common factors except 1. So, there LCM is their product i.e 231284

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/231284

Therefore, the GCF of Fractions 145/268,9531/863 is 1/231284

Least Common Multiple of 268,863 with GCF Formula

Least Common Multiple of 268,863 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 268,863 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(268,863) = 1

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

GCF(268,863) x common factors =1 x 1 = 1

LCM(268,863) = ( 268 × 863 ) / 1

LCM(268,863) = 231284 / 1

LCM(268,863) = 231284


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 145/268, 9531/863

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 145/268, 9531/863?

Answer: GCF of Numerators as per given numbers 145/268, 9531/863 is

GCF of Numerators i.e. for 145,9531 is 1

LCM of denominators i.e. for 268,863 is 231284.

Thus, GCF of Fractions is 1/231284.Finally, GCF of Fractions for 145/268, 9531/863 is 1/231284.