How to Find GCF of 4401/263, 1050/109?

GCF of 4401/263, 1050/109

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 4401/263, 1050/109 i.e 3/28667 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4401/263, 1050/109.

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 4401/263,1050/109?

Given fractions are 4401/263,1050/109

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 4401/263,1050/109, numerators are 4401,1050

Denominators are 263,109

The GCF of 4401,1050 is 3 .

LCM of 263,109 is 28667.

The greatest common factor of 4401/263,1050/109 = [GCF of 4401,1050]/[LCM of 263,109]= 3/28667

Therefore, the GCF of 4401/263,1050/109 is 3/28667.

Greatest Common Factor of 4401,1050

To find the highest common factor of 4401,1050, we have to find the factors of both numbers and list the highest common factor.

The factors of 4401 are 1, 3, 9, 27, 163, 489, 1467, 4401

The factors of 1050 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 25, 30, 35, 42, 50, 70, 75, 105, 150, 175, 210, 350, 525, 1050

The HCF of 4401,1050 is 3.

Lets's calculate GCF of 4401,1050

Greatest Common Factor (GCF) of 4401,1050 By Common Division

3	4401, 1050
	1467, 350

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 4401,1050 By Matching Biggest Common Factor Method

Now, list down the factors of 4401

1,3,9,27,163,489,1467,4401

Now, list down the factors of 1050

1,2,3,5,6,7,10,14,15,21,25,30,35,42,50,70,75,105,150,175,210,350,525,1050

Greatest Common Factor

We found the factors 4401,1050 . The biggest common factor number is the GCF number.
So the greatest common factor 4401,1050 is 3.

Lets's calculate LCM of 263,109

Lowest Common Multiple of 263,109 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 28667

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/28667

Therefore, the GCF of Fractions 4401/263,1050/109 is 3/28667

Least Common Multiple of 263,109 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 263,109 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(263,109) = 1

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

GCF(263,109) x common factors =1 x 1 = 1

LCM(263,109) = ( 263 × 109 ) / 1

LCM(263,109) = 28667 / 1

LCM(263,109) = 28667

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 4401/263, 1050/109

1. What is the HCF of 4401,1050?

The HCF of 4401,1050 is 3

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 4401/263, 1050/109?

Answer: GCF of Numerators as per given numbers 4401/263, 1050/109 is

GCF of Numerators i.e. for 4401,1050 is 3

LCM of denominators i.e. for 263,109 is 28667.

Thus, GCF of Fractions is 3/28667.Finally, GCF of Fractions for 4401/263, 1050/109 is 3/28667.