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GCF of 2855/865, 9911/3585

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 2855/865, 9911/3585 i.e 1/620205 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2855/865, 9911/3585.

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 2855/865,9911/3585?

Given fractions are 2855/865,9911/3585

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 2855/865,9911/3585, numerators are 2855,9911

Denominators are 865,3585

The GCF of 2855,9911 is 1 .

LCM of 865,3585 is 620205.

The greatest common factor of 2855/865,9911/3585 = [GCF of 2855,9911]/[LCM of 865,3585]= 1/620205

Therefore, the GCF of 2855/865,9911/3585 is 1/620205.

Greatest Common Factor of 2855,9911

To find the highest common factor of 2855,9911, we have to find the factors of both numbers and list the highest common factor.

The factors of 2855 are 1, 5, 571, 2855

The factors of 9911 are 1, 11, 17, 53, 187, 583, 901, 9911

The HCF of 2855,9911 is 1.

Lets's calculate GCF of 2855,9911

Greatest Common Factor (GCF) of 2855,9911 By Common Division

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

Greatest Common Factor of 2855,9911 By Matching Biggest Common Factor Method

Greatest Common Factor of 2855,9911 By Matching Biggest Common Factor Method

Now, list down the factors of 2855

:

1,5,571,2855

Now, list down the factors of 9911

:

1,11,17,53,187,583,901,9911

Greatest Common Factor

We found the factors 2855,9911 . The biggest common factor number is the GCF number.
So the greatest common factor 2855,9911 is 1.


Lets's calculate LCM of 865,3585

Lowest Common Multiple of 865,3585 using Common Division

5 865, 3585
173, 717

∴ So the LCM of the given numbers is 5 x 173 x 717 = 620205

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/620205

Therefore, the GCF of Fractions 2855/865,9911/3585 is 1/620205

Least Common Multiple of 865,3585 with GCF Formula

Least Common Multiple of 865,3585 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 865,3585 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(865,3585) = 5

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

GCF(865,3585) x common factors =5 x 1 = 5

LCM(865,3585) = ( 865 × 3585 ) / 5

LCM(865,3585) = 3101025 / 5

LCM(865,3585) = 620205


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 2855/865, 9911/3585

1. What is the HCF of 2855,9911?

The HCF of 2855,9911 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 2855/865, 9911/3585?

Answer: GCF of Numerators as per given numbers 2855/865, 9911/3585 is

GCF of Numerators i.e. for 2855,9911 is 1

LCM of denominators i.e. for 865,3585 is 620205.

Thus, GCF of Fractions is 1/620205.Finally, GCF of Fractions for 2855/865, 9911/3585 is 1/620205.