Greatest Common Factor of 4238/67, 9088/278

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4238/67, 9088/278

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 4238/67,9088/278

Given fractions are 4238/67,9088/278

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 4238,9088

Greatest Common Factor of Numerators i.e. GCF of 4238,9088 is 2 .

LCM of Denominators means LCM of 67,278 as per the given fractions.

LCM of 67,278 is 18626 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4238,9088

GCF of Fractions 4238/67,9088/278 is 2/18626

2 4238, 9088
2119, 4544

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

Greatest Common Factor of 4238,9088 By Matching Biggest Common Factor Method

Greatest Common Factor of 4238,9088 By Matching Biggest Common Factor Method

Factors of 4238

List of positive integer factors of 4238 that divides 4238 without a remainder.

1,2,13,26,163,326,2119,4238

Factors of 9088

List of positive integer factors of 9088 that divides 9088 without a remainder.

1,2,4,8,16,32,64,71,128,142,284,568,1136,2272,4544,9088

Greatest Common Factor

We found the factors 4238,9088 . The biggest common factor number is the GCF number.
So the greatest common factor 4238,9088 is 2.

Lets's calculate LCM of 67,278

Given numbers has no common factors except 1. So, there LCM is their product i.e 18626

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/18626

Therefore, the GCF of Fractions 4238/67,9088/278 is 2/18626

Least Common Multiple of 67,278 with GCF Formula

Least Common Multiple of 67,278 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 67,278 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,278) = 1

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

GCF(67,278) x common factors =1 x 1 = 1

LCM(67,278) = ( 67 × 278 ) / 1

LCM(67,278) = 18626 / 1

LCM(67,278) = 18626


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 4238/67, 9088/278

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 4238/67, 9088/278?

Answer: GCF of Numerators as per given numbers 4238/67, 9088/278 is

GCF of Numerators i.e. for 4238,9088 is 2

LCM of denominators i.e. for 67,278 is 18626.

Thus, GCF of Fractions is 2/18626.Finally, GCF of Fractions for 4238/67, 9088/278 is 2/18626.