Greatest Common Factor of 3926/385, 8387/978

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3926/385, 8387/978

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 3926/385,8387/978

Given fractions are 3926/385,8387/978

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 3926,8387

Greatest Common Factor of Numerators i.e. GCF of 3926,8387 is 1 .

LCM of Denominators means LCM of 385,978 as per the given fractions.

LCM of 385,978 is 376530 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3926,8387

GCF of Fractions 3926/385,8387/978 is 1/376530

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 3926,8387 By Matching Biggest Common Factor Method

Greatest Common Factor of 3926,8387 By Matching Biggest Common Factor Method

Factors of 3926

List of positive integer factors of 3926 that divides 3926 without a remainder.

1,2,13,26,151,302,1963,3926

Factors of 8387

List of positive integer factors of 8387 that divides 8387 without a remainder.

1,8387

Greatest Common Factor

We found the factors 3926,8387 . The biggest common factor number is the GCF number.
So the greatest common factor 3926,8387 is 1.

Lets's calculate LCM of 385,978

Given numbers has no common factors except 1. So, there LCM is their product i.e 376530

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/376530

Therefore, the GCF of Fractions 3926/385,8387/978 is 1/376530

Least Common Multiple of 385,978 with GCF Formula

Least Common Multiple of 385,978 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 385,978 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(385,978) = 1

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

GCF(385,978) x common factors =1 x 1 = 1

LCM(385,978) = ( 385 × 978 ) / 1

LCM(385,978) = 376530 / 1

LCM(385,978) = 376530


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 3926/385, 8387/978

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 3926/385, 8387/978?

Answer: GCF of Numerators as per given numbers 3926/385, 8387/978 is

GCF of Numerators i.e. for 3926,8387 is 1

LCM of denominators i.e. for 385,978 is 376530.

Thus, GCF of Fractions is 1/376530.Finally, GCF of Fractions for 3926/385, 8387/978 is 1/376530.