Greatest Common Factor of 737/14, 4300/228

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 737/14, 4300/228

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 737/14,4300/228

Given fractions are 737/14,4300/228

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 737,4300

Greatest Common Factor of Numerators i.e. GCF of 737,4300 is 1 .

LCM of Denominators means LCM of 14,228 as per the given fractions.

LCM of 14,228 is 1596 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 737,4300

GCF of Fractions 737/14,4300/228 is 1/1596

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

Greatest Common Factor of 737,4300 By Matching Biggest Common Factor Method

Greatest Common Factor of 737,4300 By Matching Biggest Common Factor Method

Factors of 737

List of positive integer factors of 737 that divides 737 without a remainder.

1,11,67,737

Factors of 4300

List of positive integer factors of 4300 that divides 4300 without a remainder.

1,2,4,5,10,20,25,43,50,86,100,172,215,430,860,1075,2150,4300

Greatest Common Factor

We found the factors 737,4300 . The biggest common factor number is the GCF number.
So the greatest common factor 737,4300 is 1.

Lets's calculate LCM of 14,228

2 14, 228
7, 114

∴ So the LCM of the given numbers is 2 x 7 x 114 = 1596

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1596

Therefore, the GCF of Fractions 737/14,4300/228 is 1/1596

Least Common Multiple of 14,228 with GCF Formula

Least Common Multiple of 14,228 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 14,228 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,228) = 2

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

GCF(14,228) x common factors =2 x 1 = 2

LCM(14,228) = ( 14 × 228 ) / 2

LCM(14,228) = 3192 / 2

LCM(14,228) = 1596


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 737/14, 4300/228

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 737/14, 4300/228?

Answer: GCF of Numerators as per given numbers 737/14, 4300/228 is

GCF of Numerators i.e. for 737,4300 is 1

LCM of denominators i.e. for 14,228 is 1596.

Thus, GCF of Fractions is 1/1596.Finally, GCF of Fractions for 737/14, 4300/228 is 1/1596.