Greatest Common Factor of 3018/863, 6442/7987

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3018/863, 6442/7987

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 3018/863,6442/7987

Given fractions are 3018/863,6442/7987

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 3018,6442

Greatest Common Factor of Numerators i.e. GCF of 3018,6442 is 2 .

LCM of Denominators means LCM of 863,7987 as per the given fractions.

LCM of 863,7987 is 6892781 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3018,6442

GCF of Fractions 3018/863,6442/7987 is 2/6892781

2 3018, 6442
1509, 3221

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

Greatest Common Factor of 3018,6442 By Matching Biggest Common Factor Method

Greatest Common Factor of 3018,6442 By Matching Biggest Common Factor Method

Factors of 3018

List of positive integer factors of 3018 that divides 3018 without a remainder.

1,2,3,6,503,1006,1509,3018

Factors of 6442

List of positive integer factors of 6442 that divides 6442 without a remainder.

1,2,3221,6442

Greatest Common Factor

We found the factors 3018,6442 . The biggest common factor number is the GCF number.
So the greatest common factor 3018,6442 is 2.

Lets's calculate LCM of 863,7987

Given numbers has no common factors except 1. So, there LCM is their product i.e 6892781

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6892781

Therefore, the GCF of Fractions 3018/863,6442/7987 is 2/6892781

Least Common Multiple of 863,7987 with GCF Formula

Least Common Multiple of 863,7987 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 863,7987 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(863,7987) = 1

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

GCF(863,7987) x common factors =1 x 1 = 1

LCM(863,7987) = ( 863 × 7987 ) / 1

LCM(863,7987) = 6892781 / 1

LCM(863,7987) = 6892781


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 3018/863, 6442/7987

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 3018/863, 6442/7987?

Answer: GCF of Numerators as per given numbers 3018/863, 6442/7987 is

GCF of Numerators i.e. for 3018,6442 is 2

LCM of denominators i.e. for 863,7987 is 6892781.

Thus, GCF of Fractions is 2/6892781.Finally, GCF of Fractions for 3018/863, 6442/7987 is 2/6892781.