LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 341/562, 2717/876

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 341/562, 2717/876 i.e 11/246156 easily. The following is the detailed procedure to determine the greatest common factor of fractions 341/562, 2717/876.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 341/562,2717/876?

Given fractions are 341/562,2717/876

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 341/562,2717/876, numerators are 341,2717

Denominators are 562,876

The GCF of 341,2717 is 11 .

LCM of 562,876 is 246156.

The greatest common factor of 341/562,2717/876 = [GCF of 341,2717]/[LCM of 562,876]= 11/246156

Therefore, the GCF of 341/562,2717/876 is 11/246156.

Greatest Common Factor of 341,2717

To find the highest common factor of 341,2717, 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 2717 are 1, 11, 13, 19, 143, 209, 247, 2717

The HCF of 341,2717 is 11.

Lets's calculate GCF of 341,2717

Greatest Common Factor (GCF) of 341,2717 By Common Division

11 341, 2717
31, 247

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 341,2717 By Matching Biggest Common Factor Method

Greatest Common Factor of 341,2717 By Matching Biggest Common Factor Method

Now, list down the factors of 341

:

1,11,31,341

Now, list down the factors of 2717

:

1,11,13,19,143,209,247,2717

Greatest Common Factor

We found the factors 341,2717 . The biggest common factor number is the GCF number.
So the greatest common factor 341,2717 is 11.

Lets's calculate LCM of 562,876

Lowest Common Multiple of 562,876 using Common Division

2 562, 876
281, 438

∴ So the LCM of the given numbers is 2 x 281 x 438 = 246156

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/246156

Therefore, the GCF of Fractions 341/562,2717/876 is 11/246156

Least Common Multiple of 562,876 with GCF Formula

Least Common Multiple of 562,876 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 562,876 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(562,876) = 2

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

GCF(562,876) x common factors =2 x 1 = 2

LCM(562,876) = ( 562 × 876 ) / 2

LCM(562,876) = 492312 / 2

LCM(562,876) = 246156


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 341/562, 2717/876

1. What is the HCF of 341,2717?

The HCF of 341,2717 is 11

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 341/562, 2717/876?

Answer: GCF of Numerators as per given numbers 341/562, 2717/876 is

GCF of Numerators i.e. for 341,2717 is 11

LCM of denominators i.e. for 562,876 is 246156.

Thus, GCF of Fractions is 11/246156.Finally, GCF of Fractions for 341/562, 2717/876 is 11/246156.