How to Find GCF of 4763/390, 3763/4823?

GCF of 4763/390, 3763/4823

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 4763/390, 3763/4823 i.e 1/144690 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4763/390, 3763/4823.

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 4763/390,3763/4823?

Given fractions are 4763/390,3763/4823

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 4763/390,3763/4823, numerators are 4763,3763

Denominators are 390,4823

The GCF of 4763,3763 is 1 .

LCM of 390,4823 is 144690.

The greatest common factor of 4763/390,3763/4823 = [GCF of 4763,3763]/[LCM of 390,4823]= 1/144690

Therefore, the GCF of 4763/390,3763/4823 is 1/144690.

Greatest Common Factor of 4763,3763

To find the highest common factor of 4763,3763, we have to find the factors of both numbers and list the highest common factor.

The factors of 4763 are 1, 11, 433, 4763

The factors of 3763 are 1, 53, 71, 3763

The HCF of 4763,3763 is 1.

Lets's calculate GCF of 4763,3763

Greatest Common Factor (GCF) of 4763,3763 By Common Division

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

Greatest Common Factor of 4763,3763 By Matching Biggest Common Factor Method

Now, list down the factors of 4763

1,11,433,4763

Now, list down the factors of 3763

1,53,71,3763

Greatest Common Factor

We found the factors 4763,3763 . The biggest common factor number is the GCF number.
So the greatest common factor 4763,3763 is 1.

Lets's calculate LCM of 390,4823

Lowest Common Multiple of 390,4823 using Common Division

13	390, 4823
	30, 371

∴ So the LCM of the given numbers is 13 x 30 x 371 = 144690

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/144690

Therefore, the GCF of Fractions 4763/390,3763/4823 is 1/144690

Least Common Multiple of 390,4823 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 390,4823 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(390,4823) = 13

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

GCF(390,4823) x common factors =13 x 1 = 13

LCM(390,4823) = ( 390 × 4823 ) / 13

LCM(390,4823) = 1880970 / 13

LCM(390,4823) = 144690

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 4763/390, 3763/4823

1. What is the HCF of 4763,3763?

The HCF of 4763,3763 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 4763/390, 3763/4823?

Answer: GCF of Numerators as per given numbers 4763/390, 3763/4823 is

GCF of Numerators i.e. for 4763,3763 is 1

LCM of denominators i.e. for 390,4823 is 144690.

Thus, GCF of Fractions is 1/144690.Finally, GCF of Fractions for 4763/390, 3763/4823 is 1/144690.