How to Find GCF of 2982/111, 4026/8981?

GCF of 2982/111, 4026/8981

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 2982/111, 4026/8981 i.e 6/996891 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2982/111, 4026/8981.

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 2982/111,4026/8981?

Given fractions are 2982/111,4026/8981

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 2982/111,4026/8981, numerators are 2982,4026

Denominators are 111,8981

The GCF of 2982,4026 is 6 .

LCM of 111,8981 is 996891.

The greatest common factor of 2982/111,4026/8981 = [GCF of 2982,4026]/[LCM of 111,8981]= 6/996891

Therefore, the GCF of 2982/111,4026/8981 is 6/996891.

Greatest Common Factor of 2982,4026

To find the highest common factor of 2982,4026, we have to find the factors of both numbers and list the highest common factor.

The factors of 2982 are 1, 2, 3, 6, 7, 14, 21, 42, 71, 142, 213, 426, 497, 994, 1491, 2982

The factors of 4026 are 1, 2, 3, 6, 11, 22, 33, 61, 66, 122, 183, 366, 671, 1342, 2013, 4026

The HCF of 2982,4026 is 6.

Lets's calculate GCF of 2982,4026

Greatest Common Factor (GCF) of 2982,4026 By Common Division

2	2982, 4026
3	1491, 2013
	497, 671

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

Greatest Common Factor of 2982,4026 By Matching Biggest Common Factor Method

Now, list down the factors of 2982

1,2,3,6,7,14,21,42,71,142,213,426,497,994,1491,2982

Now, list down the factors of 4026

1,2,3,6,11,22,33,61,66,122,183,366,671,1342,2013,4026

Greatest Common Factor

We found the factors 2982,4026 . The biggest common factor number is the GCF number.
So the greatest common factor 2982,4026 is 6.

Lets's calculate LCM of 111,8981

Lowest Common Multiple of 111,8981 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 996891

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/996891

Therefore, the GCF of Fractions 2982/111,4026/8981 is 6/996891

Least Common Multiple of 111,8981 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 111,8981 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(111,8981) = 1

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

GCF(111,8981) x common factors =1 x 1 = 1

LCM(111,8981) = ( 111 × 8981 ) / 1

LCM(111,8981) = 996891 / 1

LCM(111,8981) = 996891

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 2982/111, 4026/8981

1. What is the HCF of 2982,4026?

The HCF of 2982,4026 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 2982/111, 4026/8981?

Answer: GCF of Numerators as per given numbers 2982/111, 4026/8981 is

GCF of Numerators i.e. for 2982,4026 is 6

LCM of denominators i.e. for 111,8981 is 996891.

Thus, GCF of Fractions is 6/996891.Finally, GCF of Fractions for 2982/111, 4026/8981 is 6/996891.