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GCF of 270/495, 433/885

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 270/495, 433/885 i.e 1/29205 easily. The following is the detailed procedure to determine the greatest common factor of fractions 270/495, 433/885.

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 270/495,433/885?

Given fractions are 270/495,433/885

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 270/495,433/885, numerators are 270,433

Denominators are 495,885

The GCF of 270,433 is 1 .

LCM of 495,885 is 29205.

The greatest common factor of 270/495,433/885 = [GCF of 270,433]/[LCM of 495,885]= 1/29205

Therefore, the GCF of 270/495,433/885 is 1/29205.

Greatest Common Factor of 270,433

To find the highest common factor of 270,433, we have to find the factors of both numbers and list the highest common factor.

The factors of 270 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

The factors of 433 are 1, 433

The HCF of 270,433 is 1.

Lets's calculate GCF of 270,433

Greatest Common Factor (GCF) of 270,433 By Common Division

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

Greatest Common Factor of 270,433 By Matching Biggest Common Factor Method

Greatest Common Factor of 270,433 By Matching Biggest Common Factor Method

Now, list down the factors of 270

:

1,2,3,5,6,9,10,15,18,27,30,45,54,90,135,270

Now, list down the factors of 433

:

1,433

Greatest Common Factor

We found the factors 270,433 . The biggest common factor number is the GCF number.
So the greatest common factor 270,433 is 1.

Lets's calculate LCM of 495,885

Lowest Common Multiple of 495,885 using Common Division

3 495, 885
5 165, 295
33, 59

∴ So the LCM of the given numbers is 3 x 5 x 33 x 59 = 29205

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29205

Therefore, the GCF of Fractions 270/495,433/885 is 1/29205

Least Common Multiple of 495,885 with GCF Formula

Least Common Multiple of 495,885 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 495,885 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(495,885) = 15

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

GCF(495,885) x common factors =15 x 1 = 15

LCM(495,885) = ( 495 × 885 ) / 15

LCM(495,885) = 438075 / 15

LCM(495,885) = 29205


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FAQs on GCF of Fractions of 270/495, 433/885

1. What is the HCF of 270,433?

The HCF of 270,433 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 270/495, 433/885?

Answer: GCF of Numerators as per given numbers 270/495, 433/885 is

GCF of Numerators i.e. for 270,433 is 1

LCM of denominators i.e. for 495,885 is 29205.

Thus, GCF of Fractions is 1/29205.Finally, GCF of Fractions for 270/495, 433/885 is 1/29205.