Greatest Common Factor of 4224/163, 2237/7978

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4224/163, 2237/7978

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 4224/163,2237/7978

Given fractions are 4224/163,2237/7978

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 4224,2237

Greatest Common Factor of Numerators i.e. GCF of 4224,2237 is 1 .

LCM of Denominators means LCM of 163,7978 as per the given fractions.

LCM of 163,7978 is 1300414 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4224,2237

GCF of Fractions 4224/163,2237/7978 is 1/1300414

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

Greatest Common Factor of 4224,2237 By Matching Biggest Common Factor Method

Greatest Common Factor of 4224,2237 By Matching Biggest Common Factor Method

Factors of 4224

List of positive integer factors of 4224 that divides 4224 without a remainder.

1,2,3,4,6,8,11,12,16,22,24,32,33,44,48,64,66,88,96,128,132,176,192,264,352,384,528,704,1056,1408,2112,4224

Factors of 2237

List of positive integer factors of 2237 that divides 2237 without a remainder.

1,2237

Greatest Common Factor

We found the factors 4224,2237 . The biggest common factor number is the GCF number.
So the greatest common factor 4224,2237 is 1.

Lets's calculate LCM of 163,7978

Given numbers has no common factors except 1. So, there LCM is their product i.e 1300414

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1300414

Therefore, the GCF of Fractions 4224/163,2237/7978 is 1/1300414

Least Common Multiple of 163,7978 with GCF Formula

Least Common Multiple of 163,7978 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 163,7978 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(163,7978) = 1

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

GCF(163,7978) x common factors =1 x 1 = 1

LCM(163,7978) = ( 163 × 7978 ) / 1

LCM(163,7978) = 1300414 / 1

LCM(163,7978) = 1300414


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 4224/163, 2237/7978

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 4224/163, 2237/7978?

Answer: GCF of Numerators as per given numbers 4224/163, 2237/7978 is

GCF of Numerators i.e. for 4224,2237 is 1

LCM of denominators i.e. for 163,7978 is 1300414.

Thus, GCF of Fractions is 1/1300414.Finally, GCF of Fractions for 4224/163, 2237/7978 is 1/1300414.