How to Find GCF of 996/180, 8466/6881?

GCF of 996/180, 8466/6881

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 996/180, 8466/6881 i.e 498/1238580 easily. The following is the detailed procedure to determine the greatest common factor of fractions 996/180, 8466/6881.

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 996/180,8466/6881?

Given fractions are 996/180,8466/6881

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 996/180,8466/6881, numerators are 996,8466

Denominators are 180,6881

The GCF of 996,8466 is 498 .

LCM of 180,6881 is 1238580.

The greatest common factor of 996/180,8466/6881 = [GCF of 996,8466]/[LCM of 180,6881]= 498/1238580

Therefore, the GCF of 996/180,8466/6881 is 498/1238580.

Greatest Common Factor of 996,8466

To find the highest common factor of 996,8466, we have to find the factors of both numbers and list the highest common factor.

The factors of 996 are 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

The factors of 8466 are 1, 2, 3, 6, 17, 34, 51, 83, 102, 166, 249, 498, 1411, 2822, 4233, 8466

The HCF of 996,8466 is 498.

Lets's calculate GCF of 996,8466

Greatest Common Factor (GCF) of 996,8466 By Common Division

2	996, 8466
3	498, 4233
83	166, 1411
	2, 17

∴ So the GCF of the given numbers is 2 x 3 x 83 = 498

Greatest Common Factor of 996,8466 By Matching Biggest Common Factor Method

Now, list down the factors of 996

1,2,3,4,6,12,83,166,249,332,498,996

Now, list down the factors of 8466

1,2,3,6,17,34,51,83,102,166,249,498,1411,2822,4233,8466

Greatest Common Factor

We found the factors 996,8466 . The biggest common factor number is the GCF number.
So the greatest common factor 996,8466 is 498.

Lets's calculate LCM of 180,6881

Lowest Common Multiple of 180,6881 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1238580

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 498/1238580

Therefore, the GCF of Fractions 996/180,8466/6881 is 498/1238580

Least Common Multiple of 180,6881 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 180,6881 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(180,6881) = 1

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

GCF(180,6881) x common factors =1 x 1 = 1

LCM(180,6881) = ( 180 × 6881 ) / 1

LCM(180,6881) = 1238580 / 1

LCM(180,6881) = 1238580

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 996/180, 8466/6881

1. What is the HCF of 996,8466?

The HCF of 996,8466 is 498

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 996/180, 8466/6881?

Answer: GCF of Numerators as per given numbers 996/180, 8466/6881 is

GCF of Numerators i.e. for 996,8466 is 498

LCM of denominators i.e. for 180,6881 is 1238580.

Thus, GCF of Fractions is 498/1238580.Finally, GCF of Fractions for 996/180, 8466/6881 is 498/1238580.