How to Find GCF of 1599/846, 8405/5942?

GCF of 1599/846, 8405/5942

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 1599/846, 8405/5942 i.e 41/2513466 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1599/846, 8405/5942.

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 1599/846,8405/5942?

Given fractions are 1599/846,8405/5942

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 1599/846,8405/5942, numerators are 1599,8405

Denominators are 846,5942

The GCF of 1599,8405 is 41 .

LCM of 846,5942 is 2513466.

The greatest common factor of 1599/846,8405/5942 = [GCF of 1599,8405]/[LCM of 846,5942]= 41/2513466

Therefore, the GCF of 1599/846,8405/5942 is 41/2513466.

Greatest Common Factor of 1599,8405

To find the highest common factor of 1599,8405, we have to find the factors of both numbers and list the highest common factor.

The factors of 1599 are 1, 3, 13, 39, 41, 123, 533, 1599

The factors of 8405 are 1, 5, 41, 205, 1681, 8405

The HCF of 1599,8405 is 41.

Lets's calculate GCF of 1599,8405

Greatest Common Factor (GCF) of 1599,8405 By Common Division

41	1599, 8405
	39, 205

∴ So the GCF of the given numbers is 41 = 41

Greatest Common Factor of 1599,8405 By Matching Biggest Common Factor Method

Now, list down the factors of 1599

1,3,13,39,41,123,533,1599

Now, list down the factors of 8405

1,5,41,205,1681,8405

Greatest Common Factor

We found the factors 1599,8405 . The biggest common factor number is the GCF number.
So the greatest common factor 1599,8405 is 41.

Lets's calculate LCM of 846,5942

Lowest Common Multiple of 846,5942 using Common Division

2	846, 5942
	423, 2971

∴ So the LCM of the given numbers is 2 x 423 x 2971 = 2513466

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 41/2513466

Therefore, the GCF of Fractions 1599/846,8405/5942 is 41/2513466

Least Common Multiple of 846,5942 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 846,5942 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(846,5942) = 2

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

GCF(846,5942) x common factors =2 x 1 = 2

LCM(846,5942) = ( 846 × 5942 ) / 2

LCM(846,5942) = 5026932 / 2

LCM(846,5942) = 2513466

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 1599/846, 8405/5942

1. What is the HCF of 1599,8405?

The HCF of 1599,8405 is 41

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 1599/846, 8405/5942?

Answer: GCF of Numerators as per given numbers 1599/846, 8405/5942 is

GCF of Numerators i.e. for 1599,8405 is 41

LCM of denominators i.e. for 846,5942 is 2513466.

Thus, GCF of Fractions is 41/2513466.Finally, GCF of Fractions for 1599/846, 8405/5942 is 41/2513466.