Greatest Common Factor of 9648/138, 3025/336

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9648/138, 3025/336

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 9648/138,3025/336

Given fractions are 9648/138,3025/336

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 9648,3025

Greatest Common Factor of Numerators i.e. GCF of 9648,3025 is 1 .

LCM of Denominators means LCM of 138,336 as per the given fractions.

LCM of 138,336 is 7728 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9648,3025

GCF of Fractions 9648/138,3025/336 is 1/7728

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

Greatest Common Factor of 9648,3025 By Matching Biggest Common Factor Method

Greatest Common Factor of 9648,3025 By Matching Biggest Common Factor Method

Factors of 9648

List of positive integer factors of 9648 that divides 9648 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,67,72,134,144,201,268,402,536,603,804,1072,1206,1608,2412,3216,4824,9648

Factors of 3025

List of positive integer factors of 3025 that divides 3025 without a remainder.

1,5,11,25,55,121,275,605,3025

Greatest Common Factor

We found the factors 9648,3025 . The biggest common factor number is the GCF number.
So the greatest common factor 9648,3025 is 1.

Lets's calculate LCM of 138,336

2 138, 336
3 69, 168
23, 56

∴ So the LCM of the given numbers is 2 x 3 x 23 x 56 = 7728

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7728

Therefore, the GCF of Fractions 9648/138,3025/336 is 1/7728

Least Common Multiple of 138,336 with GCF Formula

Least Common Multiple of 138,336 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 138,336 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(138,336) = 6

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

GCF(138,336) x common factors =6 x 1 = 6

LCM(138,336) = ( 138 × 336 ) / 6

LCM(138,336) = 46368 / 6

LCM(138,336) = 7728


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 9648/138, 3025/336

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 9648/138, 3025/336?

Answer: GCF of Numerators as per given numbers 9648/138, 3025/336 is

GCF of Numerators i.e. for 9648,3025 is 1

LCM of denominators i.e. for 138,336 is 7728.

Thus, GCF of Fractions is 1/7728.Finally, GCF of Fractions for 9648/138, 3025/336 is 1/7728.