Greatest Common Factor of 681/56, 2199/699

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 681/56, 2199/699

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 681/56,2199/699

Given fractions are 681/56,2199/699

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 681,2199

Greatest Common Factor of Numerators i.e. GCF of 681,2199 is 3 .

LCM of Denominators means LCM of 56,699 as per the given fractions.

LCM of 56,699 is 39144 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 681,2199

GCF of Fractions 681/56,2199/699 is 3/39144

3 681, 2199
227, 733

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 681,2199 By Matching Biggest Common Factor Method

Greatest Common Factor of 681,2199 By Matching Biggest Common Factor Method

Factors of 681

List of positive integer factors of 681 that divides 681 without a remainder.

1,3,227,681

Factors of 2199

List of positive integer factors of 2199 that divides 2199 without a remainder.

1,3,733,2199

Greatest Common Factor

We found the factors 681,2199 . The biggest common factor number is the GCF number.
So the greatest common factor 681,2199 is 3.

Lets's calculate LCM of 56,699

Given numbers has no common factors except 1. So, there LCM is their product i.e 39144

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/39144

Therefore, the GCF of Fractions 681/56,2199/699 is 3/39144

Least Common Multiple of 56,699 with GCF Formula

Least Common Multiple of 56,699 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 56,699 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,699) = 1

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

GCF(56,699) x common factors =1 x 1 = 1

LCM(56,699) = ( 56 × 699 ) / 1

LCM(56,699) = 39144 / 1

LCM(56,699) = 39144


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 681/56, 2199/699

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 681/56, 2199/699?

Answer: GCF of Numerators as per given numbers 681/56, 2199/699 is

GCF of Numerators i.e. for 681,2199 is 3

LCM of denominators i.e. for 56,699 is 39144.

Thus, GCF of Fractions is 3/39144.Finally, GCF of Fractions for 681/56, 2199/699 is 3/39144.