Greatest Common Factor of 6349/213, 8777/1399

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6349/213, 8777/1399

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 6349/213,8777/1399

Given fractions are 6349/213,8777/1399

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 6349,8777

Greatest Common Factor of Numerators i.e. GCF of 6349,8777 is 1 .

LCM of Denominators means LCM of 213,1399 as per the given fractions.

LCM of 213,1399 is 297987 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6349,8777

GCF of Fractions 6349/213,8777/1399 is 1/297987

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

Greatest Common Factor of 6349,8777 By Matching Biggest Common Factor Method

Greatest Common Factor of 6349,8777 By Matching Biggest Common Factor Method

Factors of 6349

List of positive integer factors of 6349 that divides 6349 without a remainder.

1,7,907,6349

Factors of 8777

List of positive integer factors of 8777 that divides 8777 without a remainder.

1,67,131,8777

Greatest Common Factor

We found the factors 6349,8777 . The biggest common factor number is the GCF number.
So the greatest common factor 6349,8777 is 1.

Lets's calculate LCM of 213,1399

Given numbers has no common factors except 1. So, there LCM is their product i.e 297987

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/297987

Therefore, the GCF of Fractions 6349/213,8777/1399 is 1/297987

Least Common Multiple of 213,1399 with GCF Formula

Least Common Multiple of 213,1399 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 213,1399 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(213,1399) = 1

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

GCF(213,1399) x common factors =1 x 1 = 1

LCM(213,1399) = ( 213 × 1399 ) / 1

LCM(213,1399) = 297987 / 1

LCM(213,1399) = 297987


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 6349/213, 8777/1399

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 6349/213, 8777/1399?

Answer: GCF of Numerators as per given numbers 6349/213, 8777/1399 is

GCF of Numerators i.e. for 6349,8777 is 1

LCM of denominators i.e. for 213,1399 is 297987.

Thus, GCF of Fractions is 1/297987.Finally, GCF of Fractions for 6349/213, 8777/1399 is 1/297987.