Greatest Common Factor of 882/413, 6906/7747

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 882/413, 6906/7747

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 882/413,6906/7747

Given fractions are 882/413,6906/7747

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 882,6906

Greatest Common Factor of Numerators i.e. GCF of 882,6906 is 6 .

LCM of Denominators means LCM of 413,7747 as per the given fractions.

LCM of 413,7747 is 3199511 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 882,6906

GCF of Fractions 882/413,6906/7747 is 6/3199511

2 882, 6906
3 441, 3453
147, 1151

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 882,6906 By Matching Biggest Common Factor Method

Greatest Common Factor of 882,6906 By Matching Biggest Common Factor Method

Factors of 882

List of positive integer factors of 882 that divides 882 without a remainder.

1,2,3,6,7,9,14,18,21,42,49,63,98,126,147,294,441,882

Factors of 6906

List of positive integer factors of 6906 that divides 6906 without a remainder.

1,2,3,6,1151,2302,3453,6906

Greatest Common Factor

We found the factors 882,6906 . The biggest common factor number is the GCF number.
So the greatest common factor 882,6906 is 6.

Lets's calculate LCM of 413,7747

Given numbers has no common factors except 1. So, there LCM is their product i.e 3199511

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/3199511

Therefore, the GCF of Fractions 882/413,6906/7747 is 6/3199511

Least Common Multiple of 413,7747 with GCF Formula

Least Common Multiple of 413,7747 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 413,7747 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(413,7747) = 1

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

GCF(413,7747) x common factors =1 x 1 = 1

LCM(413,7747) = ( 413 × 7747 ) / 1

LCM(413,7747) = 3199511 / 1

LCM(413,7747) = 3199511


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 882/413, 6906/7747

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 882/413, 6906/7747?

Answer: GCF of Numerators as per given numbers 882/413, 6906/7747 is

GCF of Numerators i.e. for 882,6906 is 6

LCM of denominators i.e. for 413,7747 is 3199511.

Thus, GCF of Fractions is 6/3199511.Finally, GCF of Fractions for 882/413, 6906/7747 is 6/3199511.