Greatest Common Factor of 6446/44, 7742/372

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6446/44, 7742/372

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 6446/44,7742/372

Given fractions are 6446/44,7742/372

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 6446,7742

Greatest Common Factor of Numerators i.e. GCF of 6446,7742 is 2 .

LCM of Denominators means LCM of 44,372 as per the given fractions.

LCM of 44,372 is 4092 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6446,7742

GCF of Fractions 6446/44,7742/372 is 2/4092

2 6446, 7742
3223, 3871

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

Greatest Common Factor of 6446,7742 By Matching Biggest Common Factor Method

Greatest Common Factor of 6446,7742 By Matching Biggest Common Factor Method

Factors of 6446

List of positive integer factors of 6446 that divides 6446 without a remainder.

1,2,11,22,293,586,3223,6446

Factors of 7742

List of positive integer factors of 7742 that divides 7742 without a remainder.

1,2,7,14,49,79,98,158,553,1106,3871,7742

Greatest Common Factor

We found the factors 6446,7742 . The biggest common factor number is the GCF number.
So the greatest common factor 6446,7742 is 2.

Lets's calculate LCM of 44,372

2 44, 372
2 22, 186
11, 93

∴ So the LCM of the given numbers is 2 x 2 x 11 x 93 = 4092

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4092

Therefore, the GCF of Fractions 6446/44,7742/372 is 2/4092

Least Common Multiple of 44,372 with GCF Formula

Least Common Multiple of 44,372 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 44,372 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,372) = 4

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

GCF(44,372) x common factors =4 x 1 = 4

LCM(44,372) = ( 44 × 372 ) / 4

LCM(44,372) = 16368 / 4

LCM(44,372) = 4092


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 6446/44, 7742/372

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 6446/44, 7742/372?

Answer: GCF of Numerators as per given numbers 6446/44, 7742/372 is

GCF of Numerators i.e. for 6446,7742 is 2

LCM of denominators i.e. for 44,372 is 4092.

Thus, GCF of Fractions is 2/4092.Finally, GCF of Fractions for 6446/44, 7742/372 is 2/4092.