How to Find GCF of 3753/800, 1781/4881?

GCF of 3753/800, 1781/4881

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 3753/800, 1781/4881 i.e 1/3904800 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3753/800, 1781/4881.

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 3753/800,1781/4881?

Given fractions are 3753/800,1781/4881

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 3753/800,1781/4881, numerators are 3753,1781

Denominators are 800,4881

The GCF of 3753,1781 is 1 .

LCM of 800,4881 is 3904800.

The greatest common factor of 3753/800,1781/4881 = [GCF of 3753,1781]/[LCM of 800,4881]= 1/3904800

Therefore, the GCF of 3753/800,1781/4881 is 1/3904800.

Greatest Common Factor of 3753,1781

To find the highest common factor of 3753,1781, we have to find the factors of both numbers and list the highest common factor.

The factors of 3753 are 1, 3, 9, 27, 139, 417, 1251, 3753

The factors of 1781 are 1, 13, 137, 1781

The HCF of 3753,1781 is 1.

Lets's calculate GCF of 3753,1781

Greatest Common Factor (GCF) of 3753,1781 By Common Division

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

Greatest Common Factor of 3753,1781 By Matching Biggest Common Factor Method

Now, list down the factors of 3753

1,3,9,27,139,417,1251,3753

Now, list down the factors of 1781

1,13,137,1781

Greatest Common Factor

We found the factors 3753,1781 . The biggest common factor number is the GCF number.
So the greatest common factor 3753,1781 is 1.

Lets's calculate LCM of 800,4881

Lowest Common Multiple of 800,4881 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3904800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3904800

Therefore, the GCF of Fractions 3753/800,1781/4881 is 1/3904800

Least Common Multiple of 800,4881 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 800,4881 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(800,4881) = 1

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

GCF(800,4881) x common factors =1 x 1 = 1

LCM(800,4881) = ( 800 × 4881 ) / 1

LCM(800,4881) = 3904800 / 1

LCM(800,4881) = 3904800

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 3753/800, 1781/4881

1. What is the HCF of 3753,1781?

The HCF of 3753,1781 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 3753/800, 1781/4881?

Answer: GCF of Numerators as per given numbers 3753/800, 1781/4881 is

GCF of Numerators i.e. for 3753,1781 is 1

LCM of denominators i.e. for 800,4881 is 3904800.

Thus, GCF of Fractions is 1/3904800.Finally, GCF of Fractions for 3753/800, 1781/4881 is 1/3904800.