Greatest Common Factor of 9858/471, 3120/867

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9858/471, 3120/867

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 9858/471,3120/867

Given fractions are 9858/471,3120/867

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 9858,3120

Greatest Common Factor of Numerators i.e. GCF of 9858,3120 is 6 .

LCM of Denominators means LCM of 471,867 as per the given fractions.

LCM of 471,867 is 136119 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9858,3120

GCF of Fractions 9858/471,3120/867 is 6/136119

2 9858, 3120
3 4929, 1560
1643, 520

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

Greatest Common Factor of 9858,3120 By Matching Biggest Common Factor Method

Greatest Common Factor of 9858,3120 By Matching Biggest Common Factor Method

Factors of 9858

List of positive integer factors of 9858 that divides 9858 without a remainder.

1,2,3,6,31,53,62,93,106,159,186,318,1643,3286,4929,9858

Factors of 3120

List of positive integer factors of 3120 that divides 3120 without a remainder.

1,2,3,4,5,6,8,10,12,13,15,16,20,24,26,30,39,40,48,52,60,65,78,80,104,120,130,156,195,208,240,260,312,390,520,624,780,1040,1560,3120

Greatest Common Factor

We found the factors 9858,3120 . The biggest common factor number is the GCF number.
So the greatest common factor 9858,3120 is 6.

Lets's calculate LCM of 471,867

3 471, 867
157, 289

∴ So the LCM of the given numbers is 3 x 157 x 289 = 136119

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/136119

Therefore, the GCF of Fractions 9858/471,3120/867 is 6/136119

Least Common Multiple of 471,867 with GCF Formula

Least Common Multiple of 471,867 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 471,867 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(471,867) = 3

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

GCF(471,867) x common factors =3 x 1 = 3

LCM(471,867) = ( 471 × 867 ) / 3

LCM(471,867) = 408357 / 3

LCM(471,867) = 136119


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 9858/471, 3120/867

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 9858/471, 3120/867?

Answer: GCF of Numerators as per given numbers 9858/471, 3120/867 is

GCF of Numerators i.e. for 9858,3120 is 6

LCM of denominators i.e. for 471,867 is 136119.

Thus, GCF of Fractions is 6/136119.Finally, GCF of Fractions for 9858/471, 3120/867 is 6/136119.