Greatest Common Factor of 1668/841, 4680/3906

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1668/841, 4680/3906

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 1668/841,4680/3906

Given fractions are 1668/841,4680/3906

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 1668,4680

Greatest Common Factor of Numerators i.e. GCF of 1668,4680 is 12 .

LCM of Denominators means LCM of 841,3906 as per the given fractions.

LCM of 841,3906 is 3284946 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1668,4680

GCF of Fractions 1668/841,4680/3906 is 12/3284946

2 1668, 4680
2 834, 2340
3 417, 1170
139, 390

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 1668,4680 By Matching Biggest Common Factor Method

Greatest Common Factor of 1668,4680 By Matching Biggest Common Factor Method

Factors of 1668

List of positive integer factors of 1668 that divides 1668 without a remainder.

1,2,3,4,6,12,139,278,417,556,834,1668

Factors of 4680

List of positive integer factors of 4680 that divides 4680 without a remainder.

1,2,3,4,5,6,8,9,10,12,13,15,18,20,24,26,30,36,39,40,45,52,60,65,72,78,90,104,117,120,130,156,180,195,234,260,312,360,390,468,520,585,780,936,1170,1560,2340,4680

Greatest Common Factor

We found the factors 1668,4680 . The biggest common factor number is the GCF number.
So the greatest common factor 1668,4680 is 12.

Lets's calculate LCM of 841,3906

Given numbers has no common factors except 1. So, there LCM is their product i.e 3284946

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/3284946

Therefore, the GCF of Fractions 1668/841,4680/3906 is 12/3284946

Least Common Multiple of 841,3906 with GCF Formula

Least Common Multiple of 841,3906 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 841,3906 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(841,3906) = 1

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

GCF(841,3906) x common factors =1 x 1 = 1

LCM(841,3906) = ( 841 × 3906 ) / 1

LCM(841,3906) = 3284946 / 1

LCM(841,3906) = 3284946


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 1668/841, 4680/3906

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 1668/841, 4680/3906?

Answer: GCF of Numerators as per given numbers 1668/841, 4680/3906 is

GCF of Numerators i.e. for 1668,4680 is 12

LCM of denominators i.e. for 841,3906 is 3284946.

Thus, GCF of Fractions is 12/3284946.Finally, GCF of Fractions for 1668/841, 4680/3906 is 12/3284946.