Greatest Common Factor of 3744/656, 6992/6403

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3744/656, 6992/6403

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 3744/656,6992/6403

Given fractions are 3744/656,6992/6403

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 3744,6992

Greatest Common Factor of Numerators i.e. GCF of 3744,6992 is 16 .

LCM of Denominators means LCM of 656,6403 as per the given fractions.

LCM of 656,6403 is 4200368 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3744,6992

GCF of Fractions 3744/656,6992/6403 is 16/4200368

2 3744, 6992
2 1872, 3496
2 936, 1748
2 468, 874
234, 437

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Greatest Common Factor of 3744,6992 By Matching Biggest Common Factor Method

Greatest Common Factor of 3744,6992 By Matching Biggest Common Factor Method

Factors of 3744

List of positive integer factors of 3744 that divides 3744 without a remainder.

1,2,3,4,6,8,9,12,13,16,18,24,26,32,36,39,48,52,72,78,96,104,117,144,156,208,234,288,312,416,468,624,936,1248,1872,3744

Factors of 6992

List of positive integer factors of 6992 that divides 6992 without a remainder.

1,2,4,8,16,19,23,38,46,76,92,152,184,304,368,437,874,1748,3496,6992

Greatest Common Factor

We found the factors 3744,6992 . The biggest common factor number is the GCF number.
So the greatest common factor 3744,6992 is 16.

Lets's calculate LCM of 656,6403

Given numbers has no common factors except 1. So, there LCM is their product i.e 4200368

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/4200368

Therefore, the GCF of Fractions 3744/656,6992/6403 is 16/4200368

Least Common Multiple of 656,6403 with GCF Formula

Least Common Multiple of 656,6403 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 656,6403 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(656,6403) = 1

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

GCF(656,6403) x common factors =1 x 1 = 1

LCM(656,6403) = ( 656 × 6403 ) / 1

LCM(656,6403) = 4200368 / 1

LCM(656,6403) = 4200368


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 3744/656, 6992/6403

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 3744/656, 6992/6403?

Answer: GCF of Numerators as per given numbers 3744/656, 6992/6403 is

GCF of Numerators i.e. for 3744,6992 is 16

LCM of denominators i.e. for 656,6403 is 4200368.

Thus, GCF of Fractions is 16/4200368.Finally, GCF of Fractions for 3744/656, 6992/6403 is 16/4200368.