Greatest Common Factor of 3468/23, 1252/197

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3468/23, 1252/197

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 3468/23,1252/197

Given fractions are 3468/23,1252/197

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 3468,1252

Greatest Common Factor of Numerators i.e. GCF of 3468,1252 is 4 .

LCM of Denominators means LCM of 23,197 as per the given fractions.

LCM of 23,197 is 4531 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3468,1252

GCF of Fractions 3468/23,1252/197 is 4/4531

2 3468, 1252
2 1734, 626
867, 313

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 3468,1252 By Matching Biggest Common Factor Method

Greatest Common Factor of 3468,1252 By Matching Biggest Common Factor Method

Factors of 3468

List of positive integer factors of 3468 that divides 3468 without a remainder.

1,2,3,4,6,12,17,34,51,68,102,204,289,578,867,1156,1734,3468

Factors of 1252

List of positive integer factors of 1252 that divides 1252 without a remainder.

1,2,4,313,626,1252

Greatest Common Factor

We found the factors 3468,1252 . The biggest common factor number is the GCF number.
So the greatest common factor 3468,1252 is 4.

Lets's calculate LCM of 23,197

Given numbers has no common factors except 1. So, there LCM is their product i.e 4531

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/4531

Therefore, the GCF of Fractions 3468/23,1252/197 is 4/4531

Least Common Multiple of 23,197 with GCF Formula

Least Common Multiple of 23,197 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 23,197 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,197) = 1

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

GCF(23,197) x common factors =1 x 1 = 1

LCM(23,197) = ( 23 × 197 ) / 1

LCM(23,197) = 4531 / 1

LCM(23,197) = 4531


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 3468/23, 1252/197

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 3468/23, 1252/197?

Answer: GCF of Numerators as per given numbers 3468/23, 1252/197 is

GCF of Numerators i.e. for 3468,1252 is 4

LCM of denominators i.e. for 23,197 is 4531.

Thus, GCF of Fractions is 4/4531.Finally, GCF of Fractions for 3468/23, 1252/197 is 4/4531.