How to Find GCF of 5737/233, 4780/1471?

GCF of 5737/233, 4780/1471

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 5737/233, 4780/1471 i.e 1/342743 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5737/233, 4780/1471.

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 5737/233,4780/1471?

Given fractions are 5737/233,4780/1471

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 5737/233,4780/1471, numerators are 5737,4780

Denominators are 233,1471

The GCF of 5737,4780 is 1 .

LCM of 233,1471 is 342743.

The greatest common factor of 5737/233,4780/1471 = [GCF of 5737,4780]/[LCM of 233,1471]= 1/342743

Therefore, the GCF of 5737/233,4780/1471 is 1/342743.

Greatest Common Factor of 5737,4780

To find the highest common factor of 5737,4780, we have to find the factors of both numbers and list the highest common factor.

The factors of 5737 are 1, 5737

The factors of 4780 are 1, 2, 4, 5, 10, 20, 239, 478, 956, 1195, 2390, 4780

The HCF of 5737,4780 is 1.

Lets's calculate GCF of 5737,4780

Greatest Common Factor (GCF) of 5737,4780 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 5737,4780 By Matching Biggest Common Factor Method

Now, list down the factors of 5737

1,5737

Now, list down the factors of 4780

1,2,4,5,10,20,239,478,956,1195,2390,4780

Greatest Common Factor

We found the factors 5737,4780 . The biggest common factor number is the GCF number.
So the greatest common factor 5737,4780 is 1.

Lets's calculate LCM of 233,1471

Lowest Common Multiple of 233,1471 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 342743

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/342743

Therefore, the GCF of Fractions 5737/233,4780/1471 is 1/342743

Least Common Multiple of 233,1471 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 233,1471 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(233,1471) = 1

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

GCF(233,1471) x common factors =1 x 1 = 1

LCM(233,1471) = ( 233 × 1471 ) / 1

LCM(233,1471) = 342743 / 1

LCM(233,1471) = 342743

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 5737/233, 4780/1471

1. What is the HCF of 5737,4780?

The HCF of 5737,4780 is 1

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 5737/233, 4780/1471?

Answer: GCF of Numerators as per given numbers 5737/233, 4780/1471 is

GCF of Numerators i.e. for 5737,4780 is 1

LCM of denominators i.e. for 233,1471 is 342743.

Thus, GCF of Fractions is 1/342743.Finally, GCF of Fractions for 5737/233, 4780/1471 is 1/342743.