How to Find GCF of 4165/944, 2769/3669?

GCF of 4165/944, 2769/3669

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 4165/944, 2769/3669 i.e 1/3463536 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4165/944, 2769/3669.

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 4165/944,2769/3669?

Given fractions are 4165/944,2769/3669

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 4165/944,2769/3669, numerators are 4165,2769

Denominators are 944,3669

The GCF of 4165,2769 is 1 .

LCM of 944,3669 is 3463536.

The greatest common factor of 4165/944,2769/3669 = [GCF of 4165,2769]/[LCM of 944,3669]= 1/3463536

Therefore, the GCF of 4165/944,2769/3669 is 1/3463536.

Greatest Common Factor of 4165,2769

To find the highest common factor of 4165,2769, we have to find the factors of both numbers and list the highest common factor.

The factors of 4165 are 1, 5, 7, 17, 35, 49, 85, 119, 245, 595, 833, 4165

The factors of 2769 are 1, 3, 13, 39, 71, 213, 923, 2769

The HCF of 4165,2769 is 1.

Lets's calculate GCF of 4165,2769

Greatest Common Factor (GCF) of 4165,2769 By Common Division

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

Greatest Common Factor of 4165,2769 By Matching Biggest Common Factor Method

Now, list down the factors of 4165

1,5,7,17,35,49,85,119,245,595,833,4165

Now, list down the factors of 2769

1,3,13,39,71,213,923,2769

Greatest Common Factor

We found the factors 4165,2769 . The biggest common factor number is the GCF number.
So the greatest common factor 4165,2769 is 1.

Lets's calculate LCM of 944,3669

Lowest Common Multiple of 944,3669 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3463536

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3463536

Therefore, the GCF of Fractions 4165/944,2769/3669 is 1/3463536

Least Common Multiple of 944,3669 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 944,3669 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(944,3669) = 1

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

GCF(944,3669) x common factors =1 x 1 = 1

LCM(944,3669) = ( 944 × 3669 ) / 1

LCM(944,3669) = 3463536 / 1

LCM(944,3669) = 3463536

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 4165/944, 2769/3669

1. What is the HCF of 4165,2769?

The HCF of 4165,2769 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 4165/944, 2769/3669?

Answer: GCF of Numerators as per given numbers 4165/944, 2769/3669 is

GCF of Numerators i.e. for 4165,2769 is 1

LCM of denominators i.e. for 944,3669 is 3463536.

Thus, GCF of Fractions is 1/3463536.Finally, GCF of Fractions for 4165/944, 2769/3669 is 1/3463536.