Greatest Common Factor of 38/422, 7640/4565

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 38/422, 7640/4565

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 38/422,7640/4565

Given fractions are 38/422,7640/4565

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 38,7640

Greatest Common Factor of Numerators i.e. GCF of 38,7640 is 2 .

LCM of Denominators means LCM of 422,4565 as per the given fractions.

LCM of 422,4565 is 1926430 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 38,7640

GCF of Fractions 38/422,7640/4565 is 2/1926430

2 38, 7640
19, 3820

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

Greatest Common Factor of 38,7640 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,7640 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 7640

List of positive integer factors of 7640 that divides 7640 without a remainder.

1,2,4,5,8,10,20,40,191,382,764,955,1528,1910,3820,7640

Greatest Common Factor

We found the factors 38,7640 . The biggest common factor number is the GCF number.
So the greatest common factor 38,7640 is 2.

Lets's calculate LCM of 422,4565

Given numbers has no common factors except 1. So, there LCM is their product i.e 1926430

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1926430

Therefore, the GCF of Fractions 38/422,7640/4565 is 2/1926430

Least Common Multiple of 422,4565 with GCF Formula

Least Common Multiple of 422,4565 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 422,4565 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(422,4565) = 1

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

GCF(422,4565) x common factors =1 x 1 = 1

LCM(422,4565) = ( 422 × 4565 ) / 1

LCM(422,4565) = 1926430 / 1

LCM(422,4565) = 1926430


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 38/422, 7640/4565

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 38/422, 7640/4565?

Answer: GCF of Numerators as per given numbers 38/422, 7640/4565 is

GCF of Numerators i.e. for 38,7640 is 2

LCM of denominators i.e. for 422,4565 is 1926430.

Thus, GCF of Fractions is 2/1926430.Finally, GCF of Fractions for 38/422, 7640/4565 is 2/1926430.