Greatest Common Factor of 3244/749, 9548/3996

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3244/749, 9548/3996

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 3244/749,9548/3996

Given fractions are 3244/749,9548/3996

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 3244,9548

Greatest Common Factor of Numerators i.e. GCF of 3244,9548 is 4 .

LCM of Denominators means LCM of 749,3996 as per the given fractions.

LCM of 749,3996 is 2993004 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3244,9548

GCF of Fractions 3244/749,9548/3996 is 4/2993004

2 3244, 9548
2 1622, 4774
811, 2387

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 3244,9548 By Matching Biggest Common Factor Method

Greatest Common Factor of 3244,9548 By Matching Biggest Common Factor Method

Factors of 3244

List of positive integer factors of 3244 that divides 3244 without a remainder.

1,2,4,811,1622,3244

Factors of 9548

List of positive integer factors of 9548 that divides 9548 without a remainder.

1,2,4,7,11,14,22,28,31,44,62,77,124,154,217,308,341,434,682,868,1364,2387,4774,9548

Greatest Common Factor

We found the factors 3244,9548 . The biggest common factor number is the GCF number.
So the greatest common factor 3244,9548 is 4.

Lets's calculate LCM of 749,3996

Given numbers has no common factors except 1. So, there LCM is their product i.e 2993004

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/2993004

Therefore, the GCF of Fractions 3244/749,9548/3996 is 4/2993004

Least Common Multiple of 749,3996 with GCF Formula

Least Common Multiple of 749,3996 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 749,3996 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(749,3996) = 1

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

GCF(749,3996) x common factors =1 x 1 = 1

LCM(749,3996) = ( 749 × 3996 ) / 1

LCM(749,3996) = 2993004 / 1

LCM(749,3996) = 2993004


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 3244/749, 9548/3996

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 3244/749, 9548/3996?

Answer: GCF of Numerators as per given numbers 3244/749, 9548/3996 is

GCF of Numerators i.e. for 3244,9548 is 4

LCM of denominators i.e. for 749,3996 is 2993004.

Thus, GCF of Fractions is 4/2993004.Finally, GCF of Fractions for 3244/749, 9548/3996 is 4/2993004.