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GCF of 135/880, 367/608

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 135/880, 367/608 i.e 1/33440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 135/880, 367/608.

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 135/880,367/608?

Given fractions are 135/880,367/608

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 135/880,367/608, numerators are 135,367

Denominators are 880,608

The GCF of 135,367 is 1 .

LCM of 880,608 is 33440.

The greatest common factor of 135/880,367/608 = [GCF of 135,367]/[LCM of 880,608]= 1/33440

Therefore, the GCF of 135/880,367/608 is 1/33440.

Greatest Common Factor of 135,367

To find the highest common factor of 135,367, we have to find the factors of both numbers and list the highest common factor.

The factors of 135 are 1, 3, 5, 9, 15, 27, 45, 135

The factors of 367 are 1, 367

The HCF of 135,367 is 1.

Lets's calculate GCF of 135,367

Greatest Common Factor (GCF) of 135,367 By Common Division

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

Greatest Common Factor of 135,367 By Matching Biggest Common Factor Method

Greatest Common Factor of 135,367 By Matching Biggest Common Factor Method

Now, list down the factors of 135

:

1,3,5,9,15,27,45,135

Now, list down the factors of 367

:

1,367

Greatest Common Factor

We found the factors 135,367 . The biggest common factor number is the GCF number.
So the greatest common factor 135,367 is 1.

Lets's calculate LCM of 880,608

Lowest Common Multiple of 880,608 using Common Division

2 880, 608
2 440, 304
2 220, 152
2 110, 76
55, 38

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 55 x 38 = 33440

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/33440

Therefore, the GCF of Fractions 135/880,367/608 is 1/33440

Least Common Multiple of 880,608 with GCF Formula

Least Common Multiple of 880,608 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 880,608 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(880,608) = 16

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

GCF(880,608) x common factors =16 x 1 = 16

LCM(880,608) = ( 880 × 608 ) / 16

LCM(880,608) = 535040 / 16

LCM(880,608) = 33440


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FAQs on GCF of Fractions of 135/880, 367/608

1. What is the HCF of 135,367?

The HCF of 135,367 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 135/880, 367/608?

Answer: GCF of Numerators as per given numbers 135/880, 367/608 is

GCF of Numerators i.e. for 135,367 is 1

LCM of denominators i.e. for 880,608 is 33440.

Thus, GCF of Fractions is 1/33440.Finally, GCF of Fractions for 135/880, 367/608 is 1/33440.