How to Find GCF of 1929/529, 1828/4871?

GCF of 1929/529, 1828/4871

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 1929/529, 1828/4871 i.e 1/2576759 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1929/529, 1828/4871.

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 1929/529,1828/4871?

Given fractions are 1929/529,1828/4871

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 1929/529,1828/4871, numerators are 1929,1828

Denominators are 529,4871

The GCF of 1929,1828 is 1 .

LCM of 529,4871 is 2576759.

The greatest common factor of 1929/529,1828/4871 = [GCF of 1929,1828]/[LCM of 529,4871]= 1/2576759

Therefore, the GCF of 1929/529,1828/4871 is 1/2576759.

Greatest Common Factor of 1929,1828

To find the highest common factor of 1929,1828, we have to find the factors of both numbers and list the highest common factor.

The factors of 1929 are 1, 3, 643, 1929

The factors of 1828 are 1, 2, 4, 457, 914, 1828

The HCF of 1929,1828 is 1.

Lets's calculate GCF of 1929,1828

Greatest Common Factor (GCF) of 1929,1828 By Common Division

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

Greatest Common Factor of 1929,1828 By Matching Biggest Common Factor Method

Now, list down the factors of 1929

1,3,643,1929

Now, list down the factors of 1828

1,2,4,457,914,1828

Greatest Common Factor

We found the factors 1929,1828 . The biggest common factor number is the GCF number.
So the greatest common factor 1929,1828 is 1.

Lets's calculate LCM of 529,4871

Lowest Common Multiple of 529,4871 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2576759

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2576759

Therefore, the GCF of Fractions 1929/529,1828/4871 is 1/2576759

Least Common Multiple of 529,4871 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 529,4871 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(529,4871) = 1

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

GCF(529,4871) x common factors =1 x 1 = 1

LCM(529,4871) = ( 529 × 4871 ) / 1

LCM(529,4871) = 2576759 / 1

LCM(529,4871) = 2576759

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 1929/529, 1828/4871

1. What is the HCF of 1929,1828?

The HCF of 1929,1828 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 1929/529, 1828/4871?

Answer: GCF of Numerators as per given numbers 1929/529, 1828/4871 is

GCF of Numerators i.e. for 1929,1828 is 1

LCM of denominators i.e. for 529,4871 is 2576759.

Thus, GCF of Fractions is 1/2576759.Finally, GCF of Fractions for 1929/529, 1828/4871 is 1/2576759.