How to Find GCF of 510/279, 4723/5852?

GCF of 510/279, 4723/5852

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 510/279, 4723/5852 i.e 1/1632708 easily. The following is the detailed procedure to determine the greatest common factor of fractions 510/279, 4723/5852.

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 510/279,4723/5852?

Given fractions are 510/279,4723/5852

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 510/279,4723/5852, numerators are 510,4723

Denominators are 279,5852

The GCF of 510,4723 is 1 .

LCM of 279,5852 is 1632708.

The greatest common factor of 510/279,4723/5852 = [GCF of 510,4723]/[LCM of 279,5852]= 1/1632708

Therefore, the GCF of 510/279,4723/5852 is 1/1632708.

Greatest Common Factor of 510,4723

To find the highest common factor of 510,4723, we have to find the factors of both numbers and list the highest common factor.

The factors of 510 are 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

The factors of 4723 are 1, 4723

The HCF of 510,4723 is 1.

Lets's calculate GCF of 510,4723

Greatest Common Factor (GCF) of 510,4723 By Common Division

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

Greatest Common Factor of 510,4723 By Matching Biggest Common Factor Method

Now, list down the factors of 510

1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510

Now, list down the factors of 4723

1,4723

Greatest Common Factor

We found the factors 510,4723 . The biggest common factor number is the GCF number.
So the greatest common factor 510,4723 is 1.

Lets's calculate LCM of 279,5852

Lowest Common Multiple of 279,5852 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1632708

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1632708

Therefore, the GCF of Fractions 510/279,4723/5852 is 1/1632708

Least Common Multiple of 279,5852 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 279,5852 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(279,5852) = 1

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

GCF(279,5852) x common factors =1 x 1 = 1

LCM(279,5852) = ( 279 × 5852 ) / 1

LCM(279,5852) = 1632708 / 1

LCM(279,5852) = 1632708

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 510/279, 4723/5852

1. What is the HCF of 510,4723?

The HCF of 510,4723 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 510/279, 4723/5852?

Answer: GCF of Numerators as per given numbers 510/279, 4723/5852 is

GCF of Numerators i.e. for 510,4723 is 1

LCM of denominators i.e. for 279,5852 is 1632708.

Thus, GCF of Fractions is 1/1632708.Finally, GCF of Fractions for 510/279, 4723/5852 is 1/1632708.