Greatest Common Factor of 1076/184, 6068/800

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1076/184, 6068/800

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 1076/184,6068/800

Given fractions are 1076/184,6068/800

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 1076,6068

Greatest Common Factor of Numerators i.e. GCF of 1076,6068 is 4 .

LCM of Denominators means LCM of 184,800 as per the given fractions.

LCM of 184,800 is 18400 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1076,6068

GCF of Fractions 1076/184,6068/800 is 4/18400

2 1076, 6068
2 538, 3034
269, 1517

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 1076,6068 By Matching Biggest Common Factor Method

Greatest Common Factor of 1076,6068 By Matching Biggest Common Factor Method

Factors of 1076

List of positive integer factors of 1076 that divides 1076 without a remainder.

1,2,4,269,538,1076

Factors of 6068

List of positive integer factors of 6068 that divides 6068 without a remainder.

1,2,4,37,41,74,82,148,164,1517,3034,6068

Greatest Common Factor

We found the factors 1076,6068 . The biggest common factor number is the GCF number.
So the greatest common factor 1076,6068 is 4.

Lets's calculate LCM of 184,800

2 184, 800
2 92, 400
2 46, 200
23, 100

∴ So the LCM of the given numbers is 2 x 2 x 2 x 23 x 100 = 18400

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/18400

Therefore, the GCF of Fractions 1076/184,6068/800 is 4/18400

Least Common Multiple of 184,800 with GCF Formula

Least Common Multiple of 184,800 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 184,800 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(184,800) = 8

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

GCF(184,800) x common factors =8 x 1 = 8

LCM(184,800) = ( 184 × 800 ) / 8

LCM(184,800) = 147200 / 8

LCM(184,800) = 18400


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 1076/184, 6068/800

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 1076/184, 6068/800?

Answer: GCF of Numerators as per given numbers 1076/184, 6068/800 is

GCF of Numerators i.e. for 1076,6068 is 4

LCM of denominators i.e. for 184,800 is 18400.

Thus, GCF of Fractions is 4/18400.Finally, GCF of Fractions for 1076/184, 6068/800 is 4/18400.