Greatest Common Factor of 8496/165, 1253/201

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 8496/165, 1253/201

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 8496/165,1253/201

Given fractions are 8496/165,1253/201

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 8496,1253

Greatest Common Factor of Numerators i.e. GCF of 8496,1253 is 1 .

LCM of Denominators means LCM of 165,201 as per the given fractions.

LCM of 165,201 is 11055 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8496,1253

GCF of Fractions 8496/165,1253/201 is 1/11055

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

Greatest Common Factor of 8496,1253 By Matching Biggest Common Factor Method

Greatest Common Factor of 8496,1253 By Matching Biggest Common Factor Method

Factors of 8496

List of positive integer factors of 8496 that divides 8496 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,59,72,118,144,177,236,354,472,531,708,944,1062,1416,2124,2832,4248,8496

Factors of 1253

List of positive integer factors of 1253 that divides 1253 without a remainder.

1,7,179,1253

Greatest Common Factor

We found the factors 8496,1253 . The biggest common factor number is the GCF number.
So the greatest common factor 8496,1253 is 1.


Lets's calculate LCM of 165,201

3 165, 201
55, 67

∴ So the LCM of the given numbers is 3 x 55 x 67 = 11055

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11055

Therefore, the GCF of Fractions 8496/165,1253/201 is 1/11055

Least Common Multiple of 165,201 with GCF Formula

Least Common Multiple of 165,201 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 165,201 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(165,201) = 3

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

GCF(165,201) x common factors =3 x 1 = 3

LCM(165,201) = ( 165 × 201 ) / 3

LCM(165,201) = 33165 / 3

LCM(165,201) = 11055


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 8496/165, 1253/201

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 8496/165, 1253/201?

Answer: GCF of Numerators as per given numbers 8496/165, 1253/201 is

GCF of Numerators i.e. for 8496,1253 is 1

LCM of denominators i.e. for 165,201 is 11055.

Thus, GCF of Fractions is 1/11055.Finally, GCF of Fractions for 8496/165, 1253/201 is 1/11055.