Greatest Common Factor of 988/6986, 598/2035

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 988/6986, 598/2035

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 988/6986,598/2035

Given fractions are 988/6986,598/2035

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 988,598

Greatest Common Factor of Numerators i.e. GCF of 988,598 is 26 .

LCM of Denominators means LCM of 6986,2035 as per the given fractions.

LCM of 6986,2035 is 14216510 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 988,598

GCF of Fractions 988/6986,598/2035 is 26/14216510

2 988, 598
13 494, 299
38, 23

∴ So the GCF of the given numbers is 2 x 13 = 26

Greatest Common Factor of 988,598 By Matching Biggest Common Factor Method

Greatest Common Factor of 988,598 By Matching Biggest Common Factor Method

Factors of 988

List of positive integer factors of 988 that divides 988 without a remainder.

1,2,4,13,19,26,38,52,76,247,494,988

Factors of 598

List of positive integer factors of 598 that divides 598 without a remainder.

1,2,13,23,26,46,299,598

Greatest Common Factor

We found the factors 988,598 . The biggest common factor number is the GCF number.
So the greatest common factor 988,598 is 26.

Lets's calculate LCM of 6986,2035

Given numbers has no common factors except 1. So, there LCM is their product i.e 14216510

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 26/14216510

Therefore, the GCF of Fractions 988/6986,598/2035 is 26/14216510

Least Common Multiple of 6986,2035 with GCF Formula

Least Common Multiple of 6986,2035 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 6986,2035 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6986,2035) = 1

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

GCF(6986,2035) x common factors =1 x 1 = 1

LCM(6986,2035) = ( 6986 × 2035 ) / 1

LCM(6986,2035) = 14216510 / 1

LCM(6986,2035) = 14216510


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 988/6986, 598/2035

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 988/6986, 598/2035?

Answer: GCF of Numerators as per given numbers 988/6986, 598/2035 is

GCF of Numerators i.e. for 988,598 is 26

LCM of denominators i.e. for 6986,2035 is 14216510.

Thus, GCF of Fractions is 26/14216510.Finally, GCF of Fractions for 988/6986, 598/2035 is 26/14216510.