Greatest Common Factor of 1319/986, 3512/8662

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1319/986, 3512/8662

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 1319/986,3512/8662

Given fractions are 1319/986,3512/8662

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 1319,3512

Greatest Common Factor of Numerators i.e. GCF of 1319,3512 is 1 .

LCM of Denominators means LCM of 986,8662 as per the given fractions.

LCM of 986,8662 is 4270366 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1319,3512

GCF of Fractions 1319/986,3512/8662 is 1/4270366

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

Greatest Common Factor of 1319,3512 By Matching Biggest Common Factor Method

Greatest Common Factor of 1319,3512 By Matching Biggest Common Factor Method

Factors of 1319

List of positive integer factors of 1319 that divides 1319 without a remainder.

1,1319

Factors of 3512

List of positive integer factors of 3512 that divides 3512 without a remainder.

1,2,4,8,439,878,1756,3512

Greatest Common Factor

We found the factors 1319,3512 . The biggest common factor number is the GCF number.
So the greatest common factor 1319,3512 is 1.

Lets's calculate LCM of 986,8662

2 986, 8662
493, 4331

∴ So the LCM of the given numbers is 2 x 493 x 4331 = 4270366

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4270366

Therefore, the GCF of Fractions 1319/986,3512/8662 is 1/4270366

Least Common Multiple of 986,8662 with GCF Formula

Least Common Multiple of 986,8662 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 986,8662 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(986,8662) = 2

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

GCF(986,8662) x common factors =2 x 1 = 2

LCM(986,8662) = ( 986 × 8662 ) / 2

LCM(986,8662) = 8540732 / 2

LCM(986,8662) = 4270366


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 1319/986, 3512/8662

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 1319/986, 3512/8662?

Answer: GCF of Numerators as per given numbers 1319/986, 3512/8662 is

GCF of Numerators i.e. for 1319,3512 is 1

LCM of denominators i.e. for 986,8662 is 4270366.

Thus, GCF of Fractions is 1/4270366.Finally, GCF of Fractions for 1319/986, 3512/8662 is 1/4270366.