Greatest Common Factor of 1399/28, 4052/172

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1399/28, 4052/172

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 1399/28,4052/172

Given fractions are 1399/28,4052/172

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 1399,4052

Greatest Common Factor of Numerators i.e. GCF of 1399,4052 is 1 .

LCM of Denominators means LCM of 28,172 as per the given fractions.

LCM of 28,172 is 1204 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1399,4052

GCF of Fractions 1399/28,4052/172 is 1/1204

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

Greatest Common Factor of 1399,4052 By Matching Biggest Common Factor Method

Greatest Common Factor of 1399,4052 By Matching Biggest Common Factor Method

Factors of 1399

List of positive integer factors of 1399 that divides 1399 without a remainder.

1,1399

Factors of 4052

List of positive integer factors of 4052 that divides 4052 without a remainder.

1,2,4,1013,2026,4052

Greatest Common Factor

We found the factors 1399,4052 . The biggest common factor number is the GCF number.
So the greatest common factor 1399,4052 is 1.

Lets's calculate LCM of 28,172

2 28, 172
2 14, 86
7, 43

∴ So the LCM of the given numbers is 2 x 2 x 7 x 43 = 1204

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1204

Therefore, the GCF of Fractions 1399/28,4052/172 is 1/1204

Least Common Multiple of 28,172 with GCF Formula

Least Common Multiple of 28,172 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 28,172 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,172) = 4

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

GCF(28,172) x common factors =4 x 1 = 4

LCM(28,172) = ( 28 × 172 ) / 4

LCM(28,172) = 4816 / 4

LCM(28,172) = 1204


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 1399/28, 4052/172

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 1399/28, 4052/172?

Answer: GCF of Numerators as per given numbers 1399/28, 4052/172 is

GCF of Numerators i.e. for 1399,4052 is 1

LCM of denominators i.e. for 28,172 is 1204.

Thus, GCF of Fractions is 1/1204.Finally, GCF of Fractions for 1399/28, 4052/172 is 1/1204.