How to Find GCF of 2348/144, 3869/1716?

GCF of 2348/144, 3869/1716

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 2348/144, 3869/1716 i.e 1/20592 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2348/144, 3869/1716.

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 2348/144,3869/1716?

Given fractions are 2348/144,3869/1716

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 2348/144,3869/1716, numerators are 2348,3869

Denominators are 144,1716

The GCF of 2348,3869 is 1 .

LCM of 144,1716 is 20592.

The greatest common factor of 2348/144,3869/1716 = [GCF of 2348,3869]/[LCM of 144,1716]= 1/20592

Therefore, the GCF of 2348/144,3869/1716 is 1/20592.

Greatest Common Factor of 2348,3869

To find the highest common factor of 2348,3869, we have to find the factors of both numbers and list the highest common factor.

The factors of 2348 are 1, 2, 4, 587, 1174, 2348

The factors of 3869 are 1, 53, 73, 3869

The HCF of 2348,3869 is 1.

Lets's calculate GCF of 2348,3869

Greatest Common Factor (GCF) of 2348,3869 By Common Division

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

Greatest Common Factor of 2348,3869 By Matching Biggest Common Factor Method

Now, list down the factors of 2348

1,2,4,587,1174,2348

Now, list down the factors of 3869

1,53,73,3869

Greatest Common Factor

We found the factors 2348,3869 . The biggest common factor number is the GCF number.
So the greatest common factor 2348,3869 is 1.

Lets's calculate LCM of 144,1716

Lowest Common Multiple of 144,1716 using Common Division

2	144, 1716
2	72, 858
3	36, 429
	12, 143

∴ So the LCM of the given numbers is 2 x 2 x 3 x 12 x 143 = 20592

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20592

Therefore, the GCF of Fractions 2348/144,3869/1716 is 1/20592

Least Common Multiple of 144,1716 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 144,1716 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(144,1716) = 12

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

GCF(144,1716) x common factors =12 x 1 = 12

LCM(144,1716) = ( 144 × 1716 ) / 12

LCM(144,1716) = 247104 / 12

LCM(144,1716) = 20592

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 2348/144, 3869/1716

1. What is the HCF of 2348,3869?

The HCF of 2348,3869 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 2348/144, 3869/1716?

Answer: GCF of Numerators as per given numbers 2348/144, 3869/1716 is

GCF of Numerators i.e. for 2348,3869 is 1

LCM of denominators i.e. for 144,1716 is 20592.

Thus, GCF of Fractions is 1/20592.Finally, GCF of Fractions for 2348/144, 3869/1716 is 1/20592.