How to Find GCF of 4258/839, 2982/1911?

GCF of 4258/839, 2982/1911

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 4258/839, 2982/1911 i.e 2/1603329 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4258/839, 2982/1911.

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 4258/839,2982/1911?

Given fractions are 4258/839,2982/1911

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 4258/839,2982/1911, numerators are 4258,2982

Denominators are 839,1911

The GCF of 4258,2982 is 2 .

LCM of 839,1911 is 1603329.

The greatest common factor of 4258/839,2982/1911 = [GCF of 4258,2982]/[LCM of 839,1911]= 2/1603329

Therefore, the GCF of 4258/839,2982/1911 is 2/1603329.

Greatest Common Factor of 4258,2982

To find the highest common factor of 4258,2982, we have to find the factors of both numbers and list the highest common factor.

The factors of 4258 are 1, 2, 2129, 4258

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

The HCF of 4258,2982 is 2.

Lets's calculate GCF of 4258,2982

Greatest Common Factor (GCF) of 4258,2982 By Common Division

2	4258, 2982
	2129, 1491

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

Greatest Common Factor of 4258,2982 By Matching Biggest Common Factor Method

Now, list down the factors of 4258

1,2,2129,4258

Now, list down the factors of 2982

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

Greatest Common Factor

We found the factors 4258,2982 . The biggest common factor number is the GCF number.
So the greatest common factor 4258,2982 is 2.

Lets's calculate LCM of 839,1911

Lowest Common Multiple of 839,1911 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1603329

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1603329

Therefore, the GCF of Fractions 4258/839,2982/1911 is 2/1603329

Least Common Multiple of 839,1911 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 839,1911 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(839,1911) = 1

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

GCF(839,1911) x common factors =1 x 1 = 1

LCM(839,1911) = ( 839 × 1911 ) / 1

LCM(839,1911) = 1603329 / 1

LCM(839,1911) = 1603329

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 4258/839, 2982/1911

1. What is the HCF of 4258,2982?

The HCF of 4258,2982 is 2

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 4258/839, 2982/1911?

Answer: GCF of Numerators as per given numbers 4258/839, 2982/1911 is

GCF of Numerators i.e. for 4258,2982 is 2

LCM of denominators i.e. for 839,1911 is 1603329.

Thus, GCF of Fractions is 2/1603329.Finally, GCF of Fractions for 4258/839, 2982/1911 is 2/1603329.