How to Find GCF of 5780/943, 3464/2413?

GCF of 5780/943, 3464/2413

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 5780/943, 3464/2413 i.e 4/2275459 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5780/943, 3464/2413.

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 5780/943,3464/2413?

Given fractions are 5780/943,3464/2413

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 5780/943,3464/2413, numerators are 5780,3464

Denominators are 943,2413

The GCF of 5780,3464 is 4 .

LCM of 943,2413 is 2275459.

The greatest common factor of 5780/943,3464/2413 = [GCF of 5780,3464]/[LCM of 943,2413]= 4/2275459

Therefore, the GCF of 5780/943,3464/2413 is 4/2275459.

Greatest Common Factor of 5780,3464

To find the highest common factor of 5780,3464, we have to find the factors of both numbers and list the highest common factor.

The factors of 5780 are 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 289, 340, 578, 1156, 1445, 2890, 5780

The factors of 3464 are 1, 2, 4, 8, 433, 866, 1732, 3464

The HCF of 5780,3464 is 4.

Lets's calculate GCF of 5780,3464

Greatest Common Factor (GCF) of 5780,3464 By Common Division

2	5780, 3464
2	2890, 1732
	1445, 866

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 5780,3464 By Matching Biggest Common Factor Method

Now, list down the factors of 5780

1,2,4,5,10,17,20,34,68,85,170,289,340,578,1156,1445,2890,5780

Now, list down the factors of 3464

1,2,4,8,433,866,1732,3464

Greatest Common Factor

We found the factors 5780,3464 . The biggest common factor number is the GCF number.
So the greatest common factor 5780,3464 is 4.

Lets's calculate LCM of 943,2413

Lowest Common Multiple of 943,2413 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2275459

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/2275459

Therefore, the GCF of Fractions 5780/943,3464/2413 is 4/2275459

Least Common Multiple of 943,2413 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 943,2413 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(943,2413) = 1

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

GCF(943,2413) x common factors =1 x 1 = 1

LCM(943,2413) = ( 943 × 2413 ) / 1

LCM(943,2413) = 2275459 / 1

LCM(943,2413) = 2275459

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 5780/943, 3464/2413

1. What is the HCF of 5780,3464?

The HCF of 5780,3464 is 4

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 5780/943, 3464/2413?

Answer: GCF of Numerators as per given numbers 5780/943, 3464/2413 is

GCF of Numerators i.e. for 5780,3464 is 4

LCM of denominators i.e. for 943,2413 is 2275459.

Thus, GCF of Fractions is 4/2275459.Finally, GCF of Fractions for 5780/943, 3464/2413 is 4/2275459.