Greatest Common Factor of 6677/329, 6417/7253

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6677/329, 6417/7253

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 6677/329,6417/7253

Given fractions are 6677/329,6417/7253

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 6677,6417

Greatest Common Factor of Numerators i.e. GCF of 6677,6417 is 1 .

LCM of Denominators means LCM of 329,7253 as per the given fractions.

LCM of 329,7253 is 2386237 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6677,6417

GCF of Fractions 6677/329,6417/7253 is 1/2386237

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

Greatest Common Factor of 6677,6417 By Matching Biggest Common Factor Method

Greatest Common Factor of 6677,6417 By Matching Biggest Common Factor Method

Factors of 6677

List of positive integer factors of 6677 that divides 6677 without a remainder.

1,11,607,6677

Factors of 6417

List of positive integer factors of 6417 that divides 6417 without a remainder.

1,3,9,23,31,69,93,207,279,713,2139,6417

Greatest Common Factor

We found the factors 6677,6417 . The biggest common factor number is the GCF number.
So the greatest common factor 6677,6417 is 1.

Lets's calculate LCM of 329,7253

Given numbers has no common factors except 1. So, there LCM is their product i.e 2386237

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2386237

Therefore, the GCF of Fractions 6677/329,6417/7253 is 1/2386237

Least Common Multiple of 329,7253 with GCF Formula

Least Common Multiple of 329,7253 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 329,7253 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(329,7253) = 1

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

GCF(329,7253) x common factors =1 x 1 = 1

LCM(329,7253) = ( 329 × 7253 ) / 1

LCM(329,7253) = 2386237 / 1

LCM(329,7253) = 2386237


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 6677/329, 6417/7253

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 6677/329, 6417/7253?

Answer: GCF of Numerators as per given numbers 6677/329, 6417/7253 is

GCF of Numerators i.e. for 6677,6417 is 1

LCM of denominators i.e. for 329,7253 is 2386237.

Thus, GCF of Fractions is 1/2386237.Finally, GCF of Fractions for 6677/329, 6417/7253 is 1/2386237.