Greatest Common Factor of 451/986, 6989/596

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 451/986, 6989/596

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 451/986,6989/596

Given fractions are 451/986,6989/596

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 451,6989

Greatest Common Factor of Numerators i.e. GCF of 451,6989 is 1 .

LCM of Denominators means LCM of 986,596 as per the given fractions.

LCM of 986,596 is 293828 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 451,6989

GCF of Fractions 451/986,6989/596 is 1/293828

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

Greatest Common Factor of 451,6989 By Matching Biggest Common Factor Method

Greatest Common Factor of 451,6989 By Matching Biggest Common Factor Method

Factors of 451

List of positive integer factors of 451 that divides 451 without a remainder.

1,11,41,451

Factors of 6989

List of positive integer factors of 6989 that divides 6989 without a remainder.

1,29,241,6989

Greatest Common Factor

We found the factors 451,6989 . The biggest common factor number is the GCF number.
So the greatest common factor 451,6989 is 1.

Lets's calculate LCM of 986,596

2 986, 596
493, 298

∴ So the LCM of the given numbers is 2 x 493 x 298 = 293828

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/293828

Therefore, the GCF of Fractions 451/986,6989/596 is 1/293828

Least Common Multiple of 986,596 with GCF Formula

Least Common Multiple of 986,596 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 986,596 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(986,596) = 2

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

GCF(986,596) x common factors =2 x 1 = 2

LCM(986,596) = ( 986 × 596 ) / 2

LCM(986,596) = 587656 / 2

LCM(986,596) = 293828


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 451/986, 6989/596

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 451/986, 6989/596?

Answer: GCF of Numerators as per given numbers 451/986, 6989/596 is

GCF of Numerators i.e. for 451,6989 is 1

LCM of denominators i.e. for 986,596 is 293828.

Thus, GCF of Fractions is 1/293828.Finally, GCF of Fractions for 451/986, 6989/596 is 1/293828.