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GCF of 6055/311, 2247/8011

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 6055/311, 2247/8011 i.e 7/2491421 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6055/311, 2247/8011.

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 6055/311,2247/8011?

Given fractions are 6055/311,2247/8011

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 6055/311,2247/8011, numerators are 6055,2247

Denominators are 311,8011

The GCF of 6055,2247 is 7 .

LCM of 311,8011 is 2491421.

The greatest common factor of 6055/311,2247/8011 = [GCF of 6055,2247]/[LCM of 311,8011]= 7/2491421

Therefore, the GCF of 6055/311,2247/8011 is 7/2491421.

Greatest Common Factor of 6055,2247

To find the highest common factor of 6055,2247, we have to find the factors of both numbers and list the highest common factor.

The factors of 6055 are 1, 5, 7, 35, 173, 865, 1211, 6055

The factors of 2247 are 1, 3, 7, 21, 107, 321, 749, 2247

The HCF of 6055,2247 is 7.

Lets's calculate GCF of 6055,2247

Greatest Common Factor (GCF) of 6055,2247 By Common Division

7 6055, 2247
865, 321

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 6055,2247 By Matching Biggest Common Factor Method

Greatest Common Factor of 6055,2247 By Matching Biggest Common Factor Method

Now, list down the factors of 6055

:

1,5,7,35,173,865,1211,6055

Now, list down the factors of 2247

:

1,3,7,21,107,321,749,2247

Greatest Common Factor

We found the factors 6055,2247 . The biggest common factor number is the GCF number.
So the greatest common factor 6055,2247 is 7.


Lets's calculate LCM of 311,8011

Lowest Common Multiple of 311,8011 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2491421

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/2491421

Therefore, the GCF of Fractions 6055/311,2247/8011 is 7/2491421

Least Common Multiple of 311,8011 with GCF Formula

Least Common Multiple of 311,8011 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 311,8011 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(311,8011) = 1

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

GCF(311,8011) x common factors =1 x 1 = 1

LCM(311,8011) = ( 311 × 8011 ) / 1

LCM(311,8011) = 2491421 / 1

LCM(311,8011) = 2491421


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 6055/311, 2247/8011

1. What is the HCF of 6055,2247?

The HCF of 6055,2247 is 7

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 6055/311, 2247/8011?

Answer: GCF of Numerators as per given numbers 6055/311, 2247/8011 is

GCF of Numerators i.e. for 6055,2247 is 7

LCM of denominators i.e. for 311,8011 is 2491421.

Thus, GCF of Fractions is 7/2491421.Finally, GCF of Fractions for 6055/311, 2247/8011 is 7/2491421.