Greatest Common Factor of 2227/996, 4430/753

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2227/996, 4430/753

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 2227/996,4430/753

Given fractions are 2227/996,4430/753

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 2227,4430

Greatest Common Factor of Numerators i.e. GCF of 2227,4430 is 1 .

LCM of Denominators means LCM of 996,753 as per the given fractions.

LCM of 996,753 is 249996 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2227,4430

GCF of Fractions 2227/996,4430/753 is 1/249996

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

Greatest Common Factor of 2227,4430 By Matching Biggest Common Factor Method

Greatest Common Factor of 2227,4430 By Matching Biggest Common Factor Method

Factors of 2227

List of positive integer factors of 2227 that divides 2227 without a remainder.

1,17,131,2227

Factors of 4430

List of positive integer factors of 4430 that divides 4430 without a remainder.

1,2,5,10,443,886,2215,4430

Greatest Common Factor

We found the factors 2227,4430 . The biggest common factor number is the GCF number.
So the greatest common factor 2227,4430 is 1.

Lets's calculate LCM of 996,753

3 996, 753
332, 251

∴ So the LCM of the given numbers is 3 x 332 x 251 = 249996

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/249996

Therefore, the GCF of Fractions 2227/996,4430/753 is 1/249996

Least Common Multiple of 996,753 with GCF Formula

Least Common Multiple of 996,753 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 996,753 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(996,753) = 3

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

GCF(996,753) x common factors =3 x 1 = 3

LCM(996,753) = ( 996 × 753 ) / 3

LCM(996,753) = 749988 / 3

LCM(996,753) = 249996


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 2227/996, 4430/753

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 2227/996, 4430/753?

Answer: GCF of Numerators as per given numbers 2227/996, 4430/753 is

GCF of Numerators i.e. for 2227,4430 is 1

LCM of denominators i.e. for 996,753 is 249996.

Thus, GCF of Fractions is 1/249996.Finally, GCF of Fractions for 2227/996, 4430/753 is 1/249996.