Greatest Common Factor of 9158/497, 7828/3977

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9158/497, 7828/3977

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 9158/497,7828/3977

Given fractions are 9158/497,7828/3977

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 9158,7828

Greatest Common Factor of Numerators i.e. GCF of 9158,7828 is 38 .

LCM of Denominators means LCM of 497,3977 as per the given fractions.

LCM of 497,3977 is 1976569 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9158,7828

GCF of Fractions 9158/497,7828/3977 is 38/1976569

2 9158, 7828
19 4579, 3914
241, 206

∴ So the GCF of the given numbers is 2 x 19 = 38

Greatest Common Factor of 9158,7828 By Matching Biggest Common Factor Method

Greatest Common Factor of 9158,7828 By Matching Biggest Common Factor Method

Factors of 9158

List of positive integer factors of 9158 that divides 9158 without a remainder.

1,2,19,38,241,482,4579,9158

Factors of 7828

List of positive integer factors of 7828 that divides 7828 without a remainder.

1,2,4,19,38,76,103,206,412,1957,3914,7828

Greatest Common Factor

We found the factors 9158,7828 . The biggest common factor number is the GCF number.
So the greatest common factor 9158,7828 is 38.

Lets's calculate LCM of 497,3977

Given numbers has no common factors except 1. So, there LCM is their product i.e 1976569

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 38/1976569

Therefore, the GCF of Fractions 9158/497,7828/3977 is 38/1976569

Least Common Multiple of 497,3977 with GCF Formula

Least Common Multiple of 497,3977 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 497,3977 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(497,3977) = 1

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

GCF(497,3977) x common factors =1 x 1 = 1

LCM(497,3977) = ( 497 × 3977 ) / 1

LCM(497,3977) = 1976569 / 1

LCM(497,3977) = 1976569


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 9158/497, 7828/3977

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 9158/497, 7828/3977?

Answer: GCF of Numerators as per given numbers 9158/497, 7828/3977 is

GCF of Numerators i.e. for 9158,7828 is 38

LCM of denominators i.e. for 497,3977 is 1976569.

Thus, GCF of Fractions is 38/1976569.Finally, GCF of Fractions for 9158/497, 7828/3977 is 38/1976569.