How to Find GCF of 1338/179, 9894/154?

GCF of 1338/179, 9894/154

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 1338/179, 9894/154 i.e 6/27566 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1338/179, 9894/154.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 1338/179,9894/154?

Given fractions are 1338/179,9894/154

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 1338/179,9894/154, numerators are 1338,9894

Denominators are 179,154

The GCF of 1338,9894 is 6 .

LCM of 179,154 is 27566.

The greatest common factor of 1338/179,9894/154 = [GCF of 1338,9894]/[LCM of 179,154]= 6/27566

Therefore, the GCF of 1338/179,9894/154 is 6/27566.

Greatest Common Factor of 1338,9894

To find the highest common factor of 1338,9894, we have to find the factors of both numbers and list the highest common factor.

The factors of 1338 are 1, 2, 3, 6, 223, 446, 669, 1338

The factors of 9894 are 1, 2, 3, 6, 17, 34, 51, 97, 102, 194, 291, 582, 1649, 3298, 4947, 9894

The HCF of 1338,9894 is 6.

Lets's calculate GCF of 1338,9894

Greatest Common Factor (GCF) of 1338,9894 By Common Division

2	1338, 9894
3	669, 4947
	223, 1649

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 1338,9894 By Matching Biggest Common Factor Method

Now, list down the factors of 1338

1,2,3,6,223,446,669,1338

Now, list down the factors of 9894

1,2,3,6,17,34,51,97,102,194,291,582,1649,3298,4947,9894

Greatest Common Factor

We found the factors 1338,9894 . The biggest common factor number is the GCF number.
So the greatest common factor 1338,9894 is 6.

Lets's calculate LCM of 179,154

Lowest Common Multiple of 179,154 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 27566

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/27566

Therefore, the GCF of Fractions 1338/179,9894/154 is 6/27566

Least Common Multiple of 179,154 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 179,154 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(179,154) = 1

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

GCF(179,154) x common factors =1 x 1 = 1

LCM(179,154) = ( 179 × 154 ) / 1

LCM(179,154) = 27566 / 1

LCM(179,154) = 27566

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 1338/179, 9894/154

1. What is the HCF of 1338,9894?

The HCF of 1338,9894 is 6

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 1338/179, 9894/154?

Answer: GCF of Numerators as per given numbers 1338/179, 9894/154 is

GCF of Numerators i.e. for 1338,9894 is 6

LCM of denominators i.e. for 179,154 is 27566.

Thus, GCF of Fractions is 6/27566.Finally, GCF of Fractions for 1338/179, 9894/154 is 6/27566.