How to Find GCF of 6819/456, 3919/1901?

GCF of 6819/456, 3919/1901

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 6819/456, 3919/1901 i.e 1/866856 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6819/456, 3919/1901.

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 6819/456,3919/1901?

Given fractions are 6819/456,3919/1901

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 6819/456,3919/1901, numerators are 6819,3919

Denominators are 456,1901

The GCF of 6819,3919 is 1 .

LCM of 456,1901 is 866856.

The greatest common factor of 6819/456,3919/1901 = [GCF of 6819,3919]/[LCM of 456,1901]= 1/866856

Therefore, the GCF of 6819/456,3919/1901 is 1/866856.

Greatest Common Factor of 6819,3919

To find the highest common factor of 6819,3919, we have to find the factors of both numbers and list the highest common factor.

The factors of 6819 are 1, 3, 2273, 6819

The factors of 3919 are 1, 3919

The HCF of 6819,3919 is 1.

Lets's calculate GCF of 6819,3919

Greatest Common Factor (GCF) of 6819,3919 By Common Division

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

Greatest Common Factor of 6819,3919 By Matching Biggest Common Factor Method

Now, list down the factors of 6819

1,3,2273,6819

Now, list down the factors of 3919

1,3919

Greatest Common Factor

We found the factors 6819,3919 . The biggest common factor number is the GCF number.
So the greatest common factor 6819,3919 is 1.

Lets's calculate LCM of 456,1901

Lowest Common Multiple of 456,1901 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 866856

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/866856

Therefore, the GCF of Fractions 6819/456,3919/1901 is 1/866856

Least Common Multiple of 456,1901 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 456,1901 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(456,1901) = 1

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

GCF(456,1901) x common factors =1 x 1 = 1

LCM(456,1901) = ( 456 × 1901 ) / 1

LCM(456,1901) = 866856 / 1

LCM(456,1901) = 866856

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 6819/456, 3919/1901

1. What is the HCF of 6819,3919?

The HCF of 6819,3919 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 6819/456, 3919/1901?

Answer: GCF of Numerators as per given numbers 6819/456, 3919/1901 is

GCF of Numerators i.e. for 6819,3919 is 1

LCM of denominators i.e. for 456,1901 is 866856.

Thus, GCF of Fractions is 1/866856.Finally, GCF of Fractions for 6819/456, 3919/1901 is 1/866856.