Greatest Common Factor of 4026/477, 3634/197

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4026/477, 3634/197

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 4026/477,3634/197

Given fractions are 4026/477,3634/197

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 4026,3634

Greatest Common Factor of Numerators i.e. GCF of 4026,3634 is 2 .

LCM of Denominators means LCM of 477,197 as per the given fractions.

LCM of 477,197 is 93969 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4026,3634

GCF of Fractions 4026/477,3634/197 is 2/93969

2 4026, 3634
2013, 1817

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

Greatest Common Factor of 4026,3634 By Matching Biggest Common Factor Method

Greatest Common Factor of 4026,3634 By Matching Biggest Common Factor Method

Factors of 4026

List of positive integer factors of 4026 that divides 4026 without a remainder.

1,2,3,6,11,22,33,61,66,122,183,366,671,1342,2013,4026

Factors of 3634

List of positive integer factors of 3634 that divides 3634 without a remainder.

1,2,23,46,79,158,1817,3634

Greatest Common Factor

We found the factors 4026,3634 . The biggest common factor number is the GCF number.
So the greatest common factor 4026,3634 is 2.

Lets's calculate LCM of 477,197

Given numbers has no common factors except 1. So, there LCM is their product i.e 93969

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/93969

Therefore, the GCF of Fractions 4026/477,3634/197 is 2/93969

Least Common Multiple of 477,197 with GCF Formula

Least Common Multiple of 477,197 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 477,197 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(477,197) = 1

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

GCF(477,197) x common factors =1 x 1 = 1

LCM(477,197) = ( 477 × 197 ) / 1

LCM(477,197) = 93969 / 1

LCM(477,197) = 93969


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 4026/477, 3634/197

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 4026/477, 3634/197?

Answer: GCF of Numerators as per given numbers 4026/477, 3634/197 is

GCF of Numerators i.e. for 4026,3634 is 2

LCM of denominators i.e. for 477,197 is 93969.

Thus, GCF of Fractions is 2/93969.Finally, GCF of Fractions for 4026/477, 3634/197 is 2/93969.