How to Find GCF of 4929/365, 2789/1689?

GCF of 4929/365, 2789/1689

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 4929/365, 2789/1689 i.e 1/616485 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4929/365, 2789/1689.

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 4929/365,2789/1689?

Given fractions are 4929/365,2789/1689

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 4929/365,2789/1689, numerators are 4929,2789

Denominators are 365,1689

The GCF of 4929,2789 is 1 .

LCM of 365,1689 is 616485.

The greatest common factor of 4929/365,2789/1689 = [GCF of 4929,2789]/[LCM of 365,1689]= 1/616485

Therefore, the GCF of 4929/365,2789/1689 is 1/616485.

Greatest Common Factor of 4929,2789

To find the highest common factor of 4929,2789, we have to find the factors of both numbers and list the highest common factor.

The factors of 4929 are 1, 3, 31, 53, 93, 159, 1643, 4929

The factors of 2789 are 1, 2789

The HCF of 4929,2789 is 1.

Lets's calculate GCF of 4929,2789

Greatest Common Factor (GCF) of 4929,2789 By Common Division

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

Greatest Common Factor of 4929,2789 By Matching Biggest Common Factor Method

Now, list down the factors of 4929

1,3,31,53,93,159,1643,4929

Now, list down the factors of 2789

1,2789

Greatest Common Factor

We found the factors 4929,2789 . The biggest common factor number is the GCF number.
So the greatest common factor 4929,2789 is 1.

Lets's calculate LCM of 365,1689

Lowest Common Multiple of 365,1689 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 616485

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/616485

Therefore, the GCF of Fractions 4929/365,2789/1689 is 1/616485

Least Common Multiple of 365,1689 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 365,1689 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(365,1689) = 1

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

GCF(365,1689) x common factors =1 x 1 = 1

LCM(365,1689) = ( 365 × 1689 ) / 1

LCM(365,1689) = 616485 / 1

LCM(365,1689) = 616485

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 4929/365, 2789/1689

1. What is the HCF of 4929,2789?

The HCF of 4929,2789 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 4929/365, 2789/1689?

Answer: GCF of Numerators as per given numbers 4929/365, 2789/1689 is

GCF of Numerators i.e. for 4929,2789 is 1

LCM of denominators i.e. for 365,1689 is 616485.

Thus, GCF of Fractions is 1/616485.Finally, GCF of Fractions for 4929/365, 2789/1689 is 1/616485.