Greatest Common Factor of 4354/171, 1232/1273

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4354/171, 1232/1273

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 4354/171,1232/1273

Given fractions are 4354/171,1232/1273

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 4354,1232

Greatest Common Factor of Numerators i.e. GCF of 4354,1232 is 14 .

LCM of Denominators means LCM of 171,1273 as per the given fractions.

LCM of 171,1273 is 11457 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4354,1232

GCF of Fractions 4354/171,1232/1273 is 14/11457

2 4354, 1232
7 2177, 616
311, 88

∴ So the GCF of the given numbers is 2 x 7 = 14

Greatest Common Factor of 4354,1232 By Matching Biggest Common Factor Method

Greatest Common Factor of 4354,1232 By Matching Biggest Common Factor Method

Factors of 4354

List of positive integer factors of 4354 that divides 4354 without a remainder.

1,2,7,14,311,622,2177,4354

Factors of 1232

List of positive integer factors of 1232 that divides 1232 without a remainder.

1,2,4,7,8,11,14,16,22,28,44,56,77,88,112,154,176,308,616,1232

Greatest Common Factor

We found the factors 4354,1232 . The biggest common factor number is the GCF number.
So the greatest common factor 4354,1232 is 14.

Lets's calculate LCM of 171,1273

19 171, 1273
9, 67

∴ So the LCM of the given numbers is 19 x 9 x 67 = 11457

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/11457

Therefore, the GCF of Fractions 4354/171,1232/1273 is 14/11457

Least Common Multiple of 171,1273 with GCF Formula

Least Common Multiple of 171,1273 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 171,1273 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(171,1273) = 19

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

GCF(171,1273) x common factors =19 x 1 = 19

LCM(171,1273) = ( 171 × 1273 ) / 19

LCM(171,1273) = 217683 / 19

LCM(171,1273) = 11457


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 4354/171, 1232/1273

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 4354/171, 1232/1273?

Answer: GCF of Numerators as per given numbers 4354/171, 1232/1273 is

GCF of Numerators i.e. for 4354,1232 is 14

LCM of denominators i.e. for 171,1273 is 11457.

Thus, GCF of Fractions is 14/11457.Finally, GCF of Fractions for 4354/171, 1232/1273 is 14/11457.