How to Find GCF of 341/232, 3145/2608?

GCF of 341/232, 3145/2608

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 341/232, 3145/2608 i.e 1/75632 easily. The following is the detailed procedure to determine the greatest common factor of fractions 341/232, 3145/2608.

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 341/232,3145/2608?

Given fractions are 341/232,3145/2608

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 341/232,3145/2608, numerators are 341,3145

Denominators are 232,2608

The GCF of 341,3145 is 1 .

LCM of 232,2608 is 75632.

The greatest common factor of 341/232,3145/2608 = [GCF of 341,3145]/[LCM of 232,2608]= 1/75632

Therefore, the GCF of 341/232,3145/2608 is 1/75632.

Greatest Common Factor of 341,3145

To find the highest common factor of 341,3145, we have to find the factors of both numbers and list the highest common factor.

The factors of 341 are 1, 11, 31, 341

The factors of 3145 are 1, 5, 17, 37, 85, 185, 629, 3145

The HCF of 341,3145 is 1.

Lets's calculate GCF of 341,3145

Greatest Common Factor (GCF) of 341,3145 By Common Division

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

Greatest Common Factor of 341,3145 By Matching Biggest Common Factor Method

Now, list down the factors of 341

1,11,31,341

Now, list down the factors of 3145

1,5,17,37,85,185,629,3145

Greatest Common Factor

We found the factors 341,3145 . The biggest common factor number is the GCF number.
So the greatest common factor 341,3145 is 1.

Lets's calculate LCM of 232,2608

Lowest Common Multiple of 232,2608 using Common Division

2	232, 2608
2	116, 1304
2	58, 652
	29, 326

∴ So the LCM of the given numbers is 2 x 2 x 2 x 29 x 326 = 75632

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/75632

Therefore, the GCF of Fractions 341/232,3145/2608 is 1/75632

Least Common Multiple of 232,2608 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 232,2608 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(232,2608) = 8

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

GCF(232,2608) x common factors =8 x 1 = 8

LCM(232,2608) = ( 232 × 2608 ) / 8

LCM(232,2608) = 605056 / 8

LCM(232,2608) = 75632

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 341/232, 3145/2608

1. What is the HCF of 341,3145?

The HCF of 341,3145 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 341/232, 3145/2608?

Answer: GCF of Numerators as per given numbers 341/232, 3145/2608 is

GCF of Numerators i.e. for 341,3145 is 1

LCM of denominators i.e. for 232,2608 is 75632.

Thus, GCF of Fractions is 1/75632.Finally, GCF of Fractions for 341/232, 3145/2608 is 1/75632.