Greatest Common Factor of 608/229, 146/284, 800/692

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 608/229, 146/284, 800/692

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 608/229,146/284,800/692

Given fractions are 608/229,146/284,800/692

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 608,146,800

Greatest Common Factor of Numerators i.e. GCF of 608,146,800 is 2 .

LCM of Denominators means LCM of 229,284,692 as per the given fractions.

LCM of 229,284,692 is 11251228 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 608,146,800

GCF of Fractions 608/229,146/284,800/692 is 2/11251228

2 608, 146, 800
304, 73, 400

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

Greatest Common Factor of 608,146,800 By Matching Biggest Common Factor Method

Greatest Common Factor of 608,146,800 By Matching Biggest Common Factor Method

Factors of 608

List of positive integer factors of 608 that divides 608 without a remainder.

1,2,4,8,16,19,32,38,76,152,304,608

Factors of 146

List of positive integer factors of 146 that divides 146 without a remainder.

1,2,73,146

Factors of 800

List of positive integer factors of 800 that divides 800 without a remainder.

1,2,4,5,8,10,16,20,25,32,40,50,80,100,160,200,400,800

Greatest Common Factor

We found the factors 608,146,800 . The biggest common factor number is the GCF number.
So the greatest common factor 608,146,800 is 2.

Lets's calculate LCM of 229,284,692

2 229, 284, 692
2 229, 142, 346
229, 71, 173

∴ So the LCM of the given numbers is 2 x 2 x 229 x 71 x 173 = 11251228

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/11251228

Therefore, the GCF of Fractions 608/229,146/284,800/692 is 2/11251228

Least Common Multiple of 229,284,692 with GCF Formula

Least Common Multiple of 229,284,692 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 229,284,692 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(229,284,692) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(229,284,692) x common factors =1 x 4 = 4

LCM(229,284,692) = ( 229 × 284 × 692 ) / 4

LCM(229,284,692) = 45004912 / 4

LCM(229,284,692) = 11251228


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 608/229, 146/284, 800/692

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 608/229, 146/284, 800/692?

Answer: GCF of Numerators as per given numbers 608/229, 146/284, 800/692 is

GCF of Numerators i.e. for 608,146,800 is 2

LCM of denominators i.e. for 229,284,692 is 11251228.

Thus, GCF of Fractions is 2/11251228.Finally, GCF of Fractions for 608/229, 146/284, 800/692 is 2/11251228.