Greatest Common Factor of 9368/407, 8188/714

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9368/407, 8188/714

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 9368/407,8188/714

Given fractions are 9368/407,8188/714

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 9368,8188

Greatest Common Factor of Numerators i.e. GCF of 9368,8188 is 4 .

LCM of Denominators means LCM of 407,714 as per the given fractions.

LCM of 407,714 is 290598 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9368,8188

GCF of Fractions 9368/407,8188/714 is 4/290598

2 9368, 8188
2 4684, 4094
2342, 2047

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 9368,8188 By Matching Biggest Common Factor Method

Greatest Common Factor of 9368,8188 By Matching Biggest Common Factor Method

Factors of 9368

List of positive integer factors of 9368 that divides 9368 without a remainder.

1,2,4,8,1171,2342,4684,9368

Factors of 8188

List of positive integer factors of 8188 that divides 8188 without a remainder.

1,2,4,23,46,89,92,178,356,2047,4094,8188

Greatest Common Factor

We found the factors 9368,8188 . The biggest common factor number is the GCF number.
So the greatest common factor 9368,8188 is 4.

Lets's calculate LCM of 407,714

Given numbers has no common factors except 1. So, there LCM is their product i.e 290598

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/290598

Therefore, the GCF of Fractions 9368/407,8188/714 is 4/290598

Least Common Multiple of 407,714 with GCF Formula

Least Common Multiple of 407,714 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 407,714 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(407,714) = 1

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

GCF(407,714) x common factors =1 x 1 = 1

LCM(407,714) = ( 407 × 714 ) / 1

LCM(407,714) = 290598 / 1

LCM(407,714) = 290598


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 9368/407, 8188/714

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 9368/407, 8188/714?

Answer: GCF of Numerators as per given numbers 9368/407, 8188/714 is

GCF of Numerators i.e. for 9368,8188 is 4

LCM of denominators i.e. for 407,714 is 290598.

Thus, GCF of Fractions is 4/290598.Finally, GCF of Fractions for 9368/407, 8188/714 is 4/290598.