Greatest Common Factor of 7442/960, 3660/3944

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7442/960, 3660/3944

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 7442/960,3660/3944

Given fractions are 7442/960,3660/3944

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 7442,3660

Greatest Common Factor of Numerators i.e. GCF of 7442,3660 is 122 .

LCM of Denominators means LCM of 960,3944 as per the given fractions.

LCM of 960,3944 is 473280 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7442,3660

GCF of Fractions 7442/960,3660/3944 is 122/473280

2 7442, 3660
61 3721, 1830
61, 30

∴ So the GCF of the given numbers is 2 x 61 = 122

Greatest Common Factor of 7442,3660 By Matching Biggest Common Factor Method

Greatest Common Factor of 7442,3660 By Matching Biggest Common Factor Method

Factors of 7442

List of positive integer factors of 7442 that divides 7442 without a remainder.

1,2,61,122,3721,7442

Factors of 3660

List of positive integer factors of 3660 that divides 3660 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60,61,122,183,244,305,366,610,732,915,1220,1830,3660

Greatest Common Factor

We found the factors 7442,3660 . The biggest common factor number is the GCF number.
So the greatest common factor 7442,3660 is 122.

Lets's calculate LCM of 960,3944

2 960, 3944
2 480, 1972
2 240, 986
120, 493

∴ So the LCM of the given numbers is 2 x 2 x 2 x 120 x 493 = 473280

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 122/473280

Therefore, the GCF of Fractions 7442/960,3660/3944 is 122/473280

Least Common Multiple of 960,3944 with GCF Formula

Least Common Multiple of 960,3944 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 960,3944 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(960,3944) = 8

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

GCF(960,3944) x common factors =8 x 1 = 8

LCM(960,3944) = ( 960 × 3944 ) / 8

LCM(960,3944) = 3786240 / 8

LCM(960,3944) = 473280


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 7442/960, 3660/3944

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 7442/960, 3660/3944?

Answer: GCF of Numerators as per given numbers 7442/960, 3660/3944 is

GCF of Numerators i.e. for 7442,3660 is 122

LCM of denominators i.e. for 960,3944 is 473280.

Thus, GCF of Fractions is 122/473280.Finally, GCF of Fractions for 7442/960, 3660/3944 is 122/473280.