Greatest Common Factor of 1716/456, 4492/198

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1716/456, 4492/198

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 1716/456,4492/198

Given fractions are 1716/456,4492/198

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 1716,4492

Greatest Common Factor of Numerators i.e. GCF of 1716,4492 is 4 .

LCM of Denominators means LCM of 456,198 as per the given fractions.

LCM of 456,198 is 15048 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1716,4492

GCF of Fractions 1716/456,4492/198 is 4/15048

2 1716, 4492
2 858, 2246
429, 1123

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

Greatest Common Factor of 1716,4492 By Matching Biggest Common Factor Method

Greatest Common Factor of 1716,4492 By Matching Biggest Common Factor Method

Factors of 1716

List of positive integer factors of 1716 that divides 1716 without a remainder.

1,2,3,4,6,11,12,13,22,26,33,39,44,52,66,78,132,143,156,286,429,572,858,1716

Factors of 4492

List of positive integer factors of 4492 that divides 4492 without a remainder.

1,2,4,1123,2246,4492

Greatest Common Factor

We found the factors 1716,4492 . The biggest common factor number is the GCF number.
So the greatest common factor 1716,4492 is 4.

Lets's calculate LCM of 456,198

2 456, 198
3 228, 99
76, 33

∴ So the LCM of the given numbers is 2 x 3 x 76 x 33 = 15048

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/15048

Therefore, the GCF of Fractions 1716/456,4492/198 is 4/15048

Least Common Multiple of 456,198 with GCF Formula

Least Common Multiple of 456,198 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 456,198 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(456,198) = 6

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

GCF(456,198) x common factors =6 x 1 = 6

LCM(456,198) = ( 456 × 198 ) / 6

LCM(456,198) = 90288 / 6

LCM(456,198) = 15048


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 1716/456, 4492/198

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 1716/456, 4492/198?

Answer: GCF of Numerators as per given numbers 1716/456, 4492/198 is

GCF of Numerators i.e. for 1716,4492 is 4

LCM of denominators i.e. for 456,198 is 15048.

Thus, GCF of Fractions is 4/15048.Finally, GCF of Fractions for 1716/456, 4492/198 is 4/15048.