Greatest Common Factor of 1808/883, 7666/6654

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1808/883, 7666/6654

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 1808/883,7666/6654

Given fractions are 1808/883,7666/6654

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 1808,7666

Greatest Common Factor of Numerators i.e. GCF of 1808,7666 is 2 .

LCM of Denominators means LCM of 883,6654 as per the given fractions.

LCM of 883,6654 is 5875482 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1808,7666

GCF of Fractions 1808/883,7666/6654 is 2/5875482

2 1808, 7666
904, 3833

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 1808,7666 By Matching Biggest Common Factor Method

Greatest Common Factor of 1808,7666 By Matching Biggest Common Factor Method

Factors of 1808

List of positive integer factors of 1808 that divides 1808 without a remainder.

1,2,4,8,16,113,226,452,904,1808

Factors of 7666

List of positive integer factors of 7666 that divides 7666 without a remainder.

1,2,3833,7666

Greatest Common Factor

We found the factors 1808,7666 . The biggest common factor number is the GCF number.
So the greatest common factor 1808,7666 is 2.

Lets's calculate LCM of 883,6654

Given numbers has no common factors except 1. So, there LCM is their product i.e 5875482

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5875482

Therefore, the GCF of Fractions 1808/883,7666/6654 is 2/5875482

Least Common Multiple of 883,6654 with GCF Formula

Least Common Multiple of 883,6654 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 883,6654 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(883,6654) = 1

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

GCF(883,6654) x common factors =1 x 1 = 1

LCM(883,6654) = ( 883 × 6654 ) / 1

LCM(883,6654) = 5875482 / 1

LCM(883,6654) = 5875482


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 1808/883, 7666/6654

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 1808/883, 7666/6654?

Answer: GCF of Numerators as per given numbers 1808/883, 7666/6654 is

GCF of Numerators i.e. for 1808,7666 is 2

LCM of denominators i.e. for 883,6654 is 5875482.

Thus, GCF of Fractions is 2/5875482.Finally, GCF of Fractions for 1808/883, 7666/6654 is 2/5875482.