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GCF of 311/540, 9255/205

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 311/540, 9255/205 i.e 1/22140 easily. The following is the detailed procedure to determine the greatest common factor of fractions 311/540, 9255/205.

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 311/540,9255/205?

Given fractions are 311/540,9255/205

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 311/540,9255/205, numerators are 311,9255

Denominators are 540,205

The GCF of 311,9255 is 1 .

LCM of 540,205 is 22140.

The greatest common factor of 311/540,9255/205 = [GCF of 311,9255]/[LCM of 540,205]= 1/22140

Therefore, the GCF of 311/540,9255/205 is 1/22140.

Greatest Common Factor of 311,9255

To find the highest common factor of 311,9255, we have to find the factors of both numbers and list the highest common factor.

The factors of 311 are 1, 311

The factors of 9255 are 1, 3, 5, 15, 617, 1851, 3085, 9255

The HCF of 311,9255 is 1.

Lets's calculate GCF of 311,9255

Greatest Common Factor (GCF) of 311,9255 By Common Division

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

Greatest Common Factor of 311,9255 By Matching Biggest Common Factor Method

Greatest Common Factor of 311,9255 By Matching Biggest Common Factor Method

Now, list down the factors of 311

:

1,311

Now, list down the factors of 9255

:

1,3,5,15,617,1851,3085,9255

Greatest Common Factor

We found the factors 311,9255 . The biggest common factor number is the GCF number.
So the greatest common factor 311,9255 is 1.

Lets's calculate LCM of 540,205

Lowest Common Multiple of 540,205 using Common Division

5 540, 205
108, 41

∴ So the LCM of the given numbers is 5 x 108 x 41 = 22140

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22140

Therefore, the GCF of Fractions 311/540,9255/205 is 1/22140

Least Common Multiple of 540,205 with GCF Formula

Least Common Multiple of 540,205 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 540,205 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(540,205) = 5

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

GCF(540,205) x common factors =5 x 1 = 5

LCM(540,205) = ( 540 × 205 ) / 5

LCM(540,205) = 110700 / 5

LCM(540,205) = 22140


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FAQs on GCF of Fractions of 311/540, 9255/205

1. What is the HCF of 311,9255?

The HCF of 311,9255 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 311/540, 9255/205?

Answer: GCF of Numerators as per given numbers 311/540, 9255/205 is

GCF of Numerators i.e. for 311,9255 is 1

LCM of denominators i.e. for 540,205 is 22140.

Thus, GCF of Fractions is 1/22140.Finally, GCF of Fractions for 311/540, 9255/205 is 1/22140.