Greatest Common Factor of 234/1200, 514/8664

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 234/1200, 514/8664

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 234/1200,514/8664

Given fractions are 234/1200,514/8664

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 234,514

Greatest Common Factor of Numerators i.e. GCF of 234,514 is 2 .

LCM of Denominators means LCM of 1200,8664 as per the given fractions.

LCM of 1200,8664 is 433200 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 234,514

GCF of Fractions 234/1200,514/8664 is 2/433200

2 234, 514
117, 257

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

Greatest Common Factor of 234,514 By Matching Biggest Common Factor Method

Greatest Common Factor of 234,514 By Matching Biggest Common Factor Method

Factors of 234

List of positive integer factors of 234 that divides 234 without a remainder.

1,2,3,6,9,13,18,26,39,78,117,234

Factors of 514

List of positive integer factors of 514 that divides 514 without a remainder.

1,2,257,514

Greatest Common Factor

We found the factors 234,514 . The biggest common factor number is the GCF number.
So the greatest common factor 234,514 is 2.

Lets's calculate LCM of 1200,8664

2 1200, 8664
2 600, 4332
2 300, 2166
3 150, 1083
50, 361

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 50 x 361 = 433200

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/433200

Therefore, the GCF of Fractions 234/1200,514/8664 is 2/433200

Least Common Multiple of 1200,8664 with GCF Formula

Least Common Multiple of 1200,8664 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 1200,8664 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1200,8664) = 24

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

GCF(1200,8664) x common factors =24 x 1 = 24

LCM(1200,8664) = ( 1200 × 8664 ) / 24

LCM(1200,8664) = 10396800 / 24

LCM(1200,8664) = 433200


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 234/1200, 514/8664

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 234/1200, 514/8664?

Answer: GCF of Numerators as per given numbers 234/1200, 514/8664 is

GCF of Numerators i.e. for 234,514 is 2

LCM of denominators i.e. for 1200,8664 is 433200.

Thus, GCF of Fractions is 2/433200.Finally, GCF of Fractions for 234/1200, 514/8664 is 2/433200.