How to Find GCF of 3761/594, 8950/1976?

GCF of 3761/594, 8950/1976

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 3761/594, 8950/1976 i.e 1/586872 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3761/594, 8950/1976.

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 3761/594,8950/1976?

Given fractions are 3761/594,8950/1976

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 3761/594,8950/1976, numerators are 3761,8950

Denominators are 594,1976

The GCF of 3761,8950 is 1 .

LCM of 594,1976 is 586872.

The greatest common factor of 3761/594,8950/1976 = [GCF of 3761,8950]/[LCM of 594,1976]= 1/586872

Therefore, the GCF of 3761/594,8950/1976 is 1/586872.

Greatest Common Factor of 3761,8950

To find the highest common factor of 3761,8950, we have to find the factors of both numbers and list the highest common factor.

The factors of 3761 are 1, 3761

The factors of 8950 are 1, 2, 5, 10, 25, 50, 179, 358, 895, 1790, 4475, 8950

The HCF of 3761,8950 is 1.

Lets's calculate GCF of 3761,8950

Greatest Common Factor (GCF) of 3761,8950 By Common Division

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

Greatest Common Factor of 3761,8950 By Matching Biggest Common Factor Method

Now, list down the factors of 3761

1,3761

Now, list down the factors of 8950

1,2,5,10,25,50,179,358,895,1790,4475,8950

Greatest Common Factor

We found the factors 3761,8950 . The biggest common factor number is the GCF number.
So the greatest common factor 3761,8950 is 1.

Lets's calculate LCM of 594,1976

Lowest Common Multiple of 594,1976 using Common Division

2	594, 1976
	297, 988

∴ So the LCM of the given numbers is 2 x 297 x 988 = 586872

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/586872

Therefore, the GCF of Fractions 3761/594,8950/1976 is 1/586872

Least Common Multiple of 594,1976 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 594,1976 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(594,1976) = 2

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

GCF(594,1976) x common factors =2 x 1 = 2

LCM(594,1976) = ( 594 × 1976 ) / 2

LCM(594,1976) = 1173744 / 2

LCM(594,1976) = 586872

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 3761/594, 8950/1976

1. What is the HCF of 3761,8950?

The HCF of 3761,8950 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 3761/594, 8950/1976?

Answer: GCF of Numerators as per given numbers 3761/594, 8950/1976 is

GCF of Numerators i.e. for 3761,8950 is 1

LCM of denominators i.e. for 594,1976 is 586872.

Thus, GCF of Fractions is 1/586872.Finally, GCF of Fractions for 3761/594, 8950/1976 is 1/586872.