Greatest Common Factor of 1099/820, 3120/8834

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1099/820, 3120/8834

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 1099/820,3120/8834

Given fractions are 1099/820,3120/8834

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 1099,3120

Greatest Common Factor of Numerators i.e. GCF of 1099,3120 is 1 .

LCM of Denominators means LCM of 820,8834 as per the given fractions.

LCM of 820,8834 is 3621940 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1099,3120

GCF of Fractions 1099/820,3120/8834 is 1/3621940

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

Greatest Common Factor of 1099,3120 By Matching Biggest Common Factor Method

Greatest Common Factor of 1099,3120 By Matching Biggest Common Factor Method

Factors of 1099

List of positive integer factors of 1099 that divides 1099 without a remainder.

1,7,157,1099

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 1099,3120 . The biggest common factor number is the GCF number.
So the greatest common factor 1099,3120 is 1.

Lets's calculate LCM of 820,8834

2 820, 8834
410, 4417

∴ So the LCM of the given numbers is 2 x 410 x 4417 = 3621940

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3621940

Therefore, the GCF of Fractions 1099/820,3120/8834 is 1/3621940

Least Common Multiple of 820,8834 with GCF Formula

Least Common Multiple of 820,8834 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 820,8834 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(820,8834) = 2

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

GCF(820,8834) x common factors =2 x 1 = 2

LCM(820,8834) = ( 820 × 8834 ) / 2

LCM(820,8834) = 7243880 / 2

LCM(820,8834) = 3621940


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 1099/820, 3120/8834

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 1099/820, 3120/8834?

Answer: GCF of Numerators as per given numbers 1099/820, 3120/8834 is

GCF of Numerators i.e. for 1099,3120 is 1

LCM of denominators i.e. for 820,8834 is 3621940.

Thus, GCF of Fractions is 1/3621940.Finally, GCF of Fractions for 1099/820, 3120/8834 is 1/3621940.