How to Find GCF of 4862/984, 4466/5836?

GCF of 4862/984, 4466/5836

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 4862/984, 4466/5836 i.e 22/1435656 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4862/984, 4466/5836.

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 4862/984,4466/5836?

Given fractions are 4862/984,4466/5836

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 4862/984,4466/5836, numerators are 4862,4466

Denominators are 984,5836

The GCF of 4862,4466 is 22 .

LCM of 984,5836 is 1435656.

The greatest common factor of 4862/984,4466/5836 = [GCF of 4862,4466]/[LCM of 984,5836]= 22/1435656

Therefore, the GCF of 4862/984,4466/5836 is 22/1435656.

Greatest Common Factor of 4862,4466

To find the highest common factor of 4862,4466, we have to find the factors of both numbers and list the highest common factor.

The factors of 4862 are 1, 2, 11, 13, 17, 22, 26, 34, 143, 187, 221, 286, 374, 442, 2431, 4862

The factors of 4466 are 1, 2, 7, 11, 14, 22, 29, 58, 77, 154, 203, 319, 406, 638, 2233, 4466

The HCF of 4862,4466 is 22.

Lets's calculate GCF of 4862,4466

Greatest Common Factor (GCF) of 4862,4466 By Common Division

2	4862, 4466
11	2431, 2233
	221, 203

∴ So the GCF of the given numbers is 2 x 11 = 22

Greatest Common Factor of 4862,4466 By Matching Biggest Common Factor Method

Now, list down the factors of 4862

1,2,11,13,17,22,26,34,143,187,221,286,374,442,2431,4862

Now, list down the factors of 4466

1,2,7,11,14,22,29,58,77,154,203,319,406,638,2233,4466

Greatest Common Factor

We found the factors 4862,4466 . The biggest common factor number is the GCF number.
So the greatest common factor 4862,4466 is 22.

Lets's calculate LCM of 984,5836

Lowest Common Multiple of 984,5836 using Common Division

2	984, 5836
2	492, 2918
	246, 1459

∴ So the LCM of the given numbers is 2 x 2 x 246 x 1459 = 1435656

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/1435656

Therefore, the GCF of Fractions 4862/984,4466/5836 is 22/1435656

Least Common Multiple of 984,5836 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 984,5836 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(984,5836) = 4

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

GCF(984,5836) x common factors =4 x 1 = 4

LCM(984,5836) = ( 984 × 5836 ) / 4

LCM(984,5836) = 5742624 / 4

LCM(984,5836) = 1435656

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 4862/984, 4466/5836

1. What is the HCF of 4862,4466?

The HCF of 4862,4466 is 22

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 4862/984, 4466/5836?

Answer: GCF of Numerators as per given numbers 4862/984, 4466/5836 is

GCF of Numerators i.e. for 4862,4466 is 22

LCM of denominators i.e. for 984,5836 is 1435656.

Thus, GCF of Fractions is 22/1435656.Finally, GCF of Fractions for 4862/984, 4466/5836 is 22/1435656.