Greatest Common Factor of 8313/646, 6707/3250

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8313/646, 6707/3250

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 8313/646,6707/3250

Given fractions are 8313/646,6707/3250

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 8313,6707

Greatest Common Factor of Numerators i.e. GCF of 8313,6707 is 1 .

LCM of Denominators means LCM of 646,3250 as per the given fractions.

LCM of 646,3250 is 1049750 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8313,6707

GCF of Fractions 8313/646,6707/3250 is 1/1049750

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

Greatest Common Factor of 8313,6707 By Matching Biggest Common Factor Method

Greatest Common Factor of 8313,6707 By Matching Biggest Common Factor Method

Factors of 8313

List of positive integer factors of 8313 that divides 8313 without a remainder.

1,3,17,51,163,489,2771,8313

Factors of 6707

List of positive integer factors of 6707 that divides 6707 without a remainder.

1,19,353,6707

Greatest Common Factor

We found the factors 8313,6707 . The biggest common factor number is the GCF number.
So the greatest common factor 8313,6707 is 1.

Lets's calculate LCM of 646,3250

2 646, 3250
323, 1625

∴ So the LCM of the given numbers is 2 x 323 x 1625 = 1049750

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1049750

Therefore, the GCF of Fractions 8313/646,6707/3250 is 1/1049750

Least Common Multiple of 646,3250 with GCF Formula

Least Common Multiple of 646,3250 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 646,3250 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(646,3250) = 2

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

GCF(646,3250) x common factors =2 x 1 = 2

LCM(646,3250) = ( 646 × 3250 ) / 2

LCM(646,3250) = 2099500 / 2

LCM(646,3250) = 1049750


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 8313/646, 6707/3250

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 8313/646, 6707/3250?

Answer: GCF of Numerators as per given numbers 8313/646, 6707/3250 is

GCF of Numerators i.e. for 8313,6707 is 1

LCM of denominators i.e. for 646,3250 is 1049750.

Thus, GCF of Fractions is 1/1049750.Finally, GCF of Fractions for 8313/646, 6707/3250 is 1/1049750.