Greatest Common Factor of 8987/598, 8078/4338

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8987/598, 8078/4338

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 8987/598,8078/4338

Given fractions are 8987/598,8078/4338

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 8987,8078

Greatest Common Factor of Numerators i.e. GCF of 8987,8078 is 1 .

LCM of Denominators means LCM of 598,4338 as per the given fractions.

LCM of 598,4338 is 1297062 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8987,8078

GCF of Fractions 8987/598,8078/4338 is 1/1297062

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

Greatest Common Factor of 8987,8078 By Matching Biggest Common Factor Method

Greatest Common Factor of 8987,8078 By Matching Biggest Common Factor Method

Factors of 8987

List of positive integer factors of 8987 that divides 8987 without a remainder.

1,11,19,43,209,473,817,8987

Factors of 8078

List of positive integer factors of 8078 that divides 8078 without a remainder.

1,2,7,14,577,1154,4039,8078

Greatest Common Factor

We found the factors 8987,8078 . The biggest common factor number is the GCF number.
So the greatest common factor 8987,8078 is 1.

Lets's calculate LCM of 598,4338

2 598, 4338
299, 2169

∴ So the LCM of the given numbers is 2 x 299 x 2169 = 1297062

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1297062

Therefore, the GCF of Fractions 8987/598,8078/4338 is 1/1297062

Least Common Multiple of 598,4338 with GCF Formula

Least Common Multiple of 598,4338 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 598,4338 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(598,4338) = 2

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

GCF(598,4338) x common factors =2 x 1 = 2

LCM(598,4338) = ( 598 × 4338 ) / 2

LCM(598,4338) = 2594124 / 2

LCM(598,4338) = 1297062


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 8987/598, 8078/4338

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 8987/598, 8078/4338?

Answer: GCF of Numerators as per given numbers 8987/598, 8078/4338 is

GCF of Numerators i.e. for 8987,8078 is 1

LCM of denominators i.e. for 598,4338 is 1297062.

Thus, GCF of Fractions is 1/1297062.Finally, GCF of Fractions for 8987/598, 8078/4338 is 1/1297062.