Greatest Common Factor of 4202/63, 4223/114

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4202/63, 4223/114

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 4202/63,4223/114

Given fractions are 4202/63,4223/114

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 4202,4223

Greatest Common Factor of Numerators i.e. GCF of 4202,4223 is 1 .

LCM of Denominators means LCM of 63,114 as per the given fractions.

LCM of 63,114 is 2394 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4202,4223

GCF of Fractions 4202/63,4223/114 is 1/2394

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

Greatest Common Factor of 4202,4223 By Matching Biggest Common Factor Method

Greatest Common Factor of 4202,4223 By Matching Biggest Common Factor Method

Factors of 4202

List of positive integer factors of 4202 that divides 4202 without a remainder.

1,2,11,22,191,382,2101,4202

Factors of 4223

List of positive integer factors of 4223 that divides 4223 without a remainder.

1,41,103,4223

Greatest Common Factor

We found the factors 4202,4223 . The biggest common factor number is the GCF number.
So the greatest common factor 4202,4223 is 1.

Lets's calculate LCM of 63,114

3 63, 114
21, 38

∴ So the LCM of the given numbers is 3 x 21 x 38 = 2394

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2394

Therefore, the GCF of Fractions 4202/63,4223/114 is 1/2394

Least Common Multiple of 63,114 with GCF Formula

Least Common Multiple of 63,114 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 63,114 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(63,114) = 3

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

GCF(63,114) x common factors =3 x 1 = 3

LCM(63,114) = ( 63 × 114 ) / 3

LCM(63,114) = 7182 / 3

LCM(63,114) = 2394


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 4202/63, 4223/114

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 4202/63, 4223/114?

Answer: GCF of Numerators as per given numbers 4202/63, 4223/114 is

GCF of Numerators i.e. for 4202,4223 is 1

LCM of denominators i.e. for 63,114 is 2394.

Thus, GCF of Fractions is 1/2394.Finally, GCF of Fractions for 4202/63, 4223/114 is 1/2394.