Greatest Common Factor of 9787/432, 1275/5168

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9787/432, 1275/5168

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 9787/432,1275/5168

Given fractions are 9787/432,1275/5168

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 9787,1275

Greatest Common Factor of Numerators i.e. GCF of 9787,1275 is 1 .

LCM of Denominators means LCM of 432,5168 as per the given fractions.

LCM of 432,5168 is 139536 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9787,1275

GCF of Fractions 9787/432,1275/5168 is 1/139536

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

Greatest Common Factor of 9787,1275 By Matching Biggest Common Factor Method

Greatest Common Factor of 9787,1275 By Matching Biggest Common Factor Method

Factors of 9787

List of positive integer factors of 9787 that divides 9787 without a remainder.

1,9787

Factors of 1275

List of positive integer factors of 1275 that divides 1275 without a remainder.

1,3,5,15,17,25,51,75,85,255,425,1275

Greatest Common Factor

We found the factors 9787,1275 . The biggest common factor number is the GCF number.
So the greatest common factor 9787,1275 is 1.

Lets's calculate LCM of 432,5168

2 432, 5168
2 216, 2584
2 108, 1292
2 54, 646
27, 323

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 27 x 323 = 139536

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/139536

Therefore, the GCF of Fractions 9787/432,1275/5168 is 1/139536

Least Common Multiple of 432,5168 with GCF Formula

Least Common Multiple of 432,5168 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 432,5168 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(432,5168) = 16

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

GCF(432,5168) x common factors =16 x 1 = 16

LCM(432,5168) = ( 432 × 5168 ) / 16

LCM(432,5168) = 2232576 / 16

LCM(432,5168) = 139536


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 9787/432, 1275/5168

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 9787/432, 1275/5168?

Answer: GCF of Numerators as per given numbers 9787/432, 1275/5168 is

GCF of Numerators i.e. for 9787,1275 is 1

LCM of denominators i.e. for 432,5168 is 139536.

Thus, GCF of Fractions is 1/139536.Finally, GCF of Fractions for 9787/432, 1275/5168 is 1/139536.