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GCF of 605/59, 145/1581

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 605/59, 145/1581 i.e 5/93279 easily. The following is the detailed procedure to determine the greatest common factor of fractions 605/59, 145/1581.

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 605/59,145/1581?

Given fractions are 605/59,145/1581

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 605/59,145/1581, numerators are 605,145

Denominators are 59,1581

The GCF of 605,145 is 5 .

LCM of 59,1581 is 93279.

The greatest common factor of 605/59,145/1581 = [GCF of 605,145]/[LCM of 59,1581]= 5/93279

Therefore, the GCF of 605/59,145/1581 is 5/93279.

Greatest Common Factor of 605,145

To find the highest common factor of 605,145, we have to find the factors of both numbers and list the highest common factor.

The factors of 605 are 1, 5, 11, 55, 121, 605

The factors of 145 are 1, 5, 29, 145

The HCF of 605,145 is 5.

Lets's calculate GCF of 605,145

Greatest Common Factor (GCF) of 605,145 By Common Division

5 605, 145
121, 29

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 605,145 By Matching Biggest Common Factor Method

Greatest Common Factor of 605,145 By Matching Biggest Common Factor Method

Now, list down the factors of 605

:

1,5,11,55,121,605

Now, list down the factors of 145

:

1,5,29,145

Greatest Common Factor

We found the factors 605,145 . The biggest common factor number is the GCF number.
So the greatest common factor 605,145 is 5.


Lets's calculate LCM of 59,1581

Lowest Common Multiple of 59,1581 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 93279

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/93279

Therefore, the GCF of Fractions 605/59,145/1581 is 5/93279

Least Common Multiple of 59,1581 with GCF Formula

Least Common Multiple of 59,1581 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 59,1581 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,1581) = 1

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

GCF(59,1581) x common factors =1 x 1 = 1

LCM(59,1581) = ( 59 × 1581 ) / 1

LCM(59,1581) = 93279 / 1

LCM(59,1581) = 93279


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 605/59, 145/1581

1. What is the HCF of 605,145?

The HCF of 605,145 is 5

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 605/59, 145/1581?

Answer: GCF of Numerators as per given numbers 605/59, 145/1581 is

GCF of Numerators i.e. for 605,145 is 5

LCM of denominators i.e. for 59,1581 is 93279.

Thus, GCF of Fractions is 5/93279.Finally, GCF of Fractions for 605/59, 145/1581 is 5/93279.