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 272/68, 406/8129

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 272/68, 406/8129 i.e 2/552772 easily. The following is the detailed procedure to determine the greatest common factor of fractions 272/68, 406/8129.

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 272/68,406/8129?

Given fractions are 272/68,406/8129

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 272/68,406/8129, numerators are 272,406

Denominators are 68,8129

The GCF of 272,406 is 2 .

LCM of 68,8129 is 552772.

The greatest common factor of 272/68,406/8129 = [GCF of 272,406]/[LCM of 68,8129]= 2/552772

Therefore, the GCF of 272/68,406/8129 is 2/552772.

Greatest Common Factor of 272,406

To find the highest common factor of 272,406, we have to find the factors of both numbers and list the highest common factor.

The factors of 272 are 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

The factors of 406 are 1, 2, 7, 14, 29, 58, 203, 406

The HCF of 272,406 is 2.

Lets's calculate GCF of 272,406

Greatest Common Factor (GCF) of 272,406 By Common Division

2 272, 406
136, 203

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 272,406 By Matching Biggest Common Factor Method

Greatest Common Factor of 272,406 By Matching Biggest Common Factor Method

Now, list down the factors of 272

:

1,2,4,8,16,17,34,68,136,272

Now, list down the factors of 406

:

1,2,7,14,29,58,203,406

Greatest Common Factor

We found the factors 272,406 . The biggest common factor number is the GCF number.
So the greatest common factor 272,406 is 2.

Lets's calculate LCM of 68,8129

Lowest Common Multiple of 68,8129 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 552772

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/552772

Therefore, the GCF of Fractions 272/68,406/8129 is 2/552772

Least Common Multiple of 68,8129 with GCF Formula

Least Common Multiple of 68,8129 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 68,8129 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,8129) = 1

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

GCF(68,8129) x common factors =1 x 1 = 1

LCM(68,8129) = ( 68 × 8129 ) / 1

LCM(68,8129) = 552772 / 1

LCM(68,8129) = 552772


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 272/68, 406/8129

1. What is the HCF of 272,406?

The HCF of 272,406 is 2

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 272/68, 406/8129?

Answer: GCF of Numerators as per given numbers 272/68, 406/8129 is

GCF of Numerators i.e. for 272,406 is 2

LCM of denominators i.e. for 68,8129 is 552772.

Thus, GCF of Fractions is 2/552772.Finally, GCF of Fractions for 272/68, 406/8129 is 2/552772.