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GCF of 586/195, 180/424

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 586/195, 180/424 i.e 2/82680 easily. The following is the detailed procedure to determine the greatest common factor of fractions 586/195, 180/424.

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 586/195,180/424?

Given fractions are 586/195,180/424

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 586/195,180/424, numerators are 586,180

Denominators are 195,424

The GCF of 586,180 is 2 .

LCM of 195,424 is 82680.

The greatest common factor of 586/195,180/424 = [GCF of 586,180]/[LCM of 195,424]= 2/82680

Therefore, the GCF of 586/195,180/424 is 2/82680.

Greatest Common Factor of 586,180

To find the highest common factor of 586,180, we have to find the factors of both numbers and list the highest common factor.

The factors of 586 are 1, 2, 293, 586

The factors of 180 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

The HCF of 586,180 is 2.

Lets's calculate GCF of 586,180

Greatest Common Factor (GCF) of 586,180 By Common Division

2 586, 180
293, 90

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 586,180 By Matching Biggest Common Factor Method

Greatest Common Factor of 586,180 By Matching Biggest Common Factor Method

Now, list down the factors of 586

:

1,2,293,586

Now, list down the factors of 180

:

1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,60,90,180

Greatest Common Factor

We found the factors 586,180 . The biggest common factor number is the GCF number.
So the greatest common factor 586,180 is 2.

Lets's calculate LCM of 195,424

Lowest Common Multiple of 195,424 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 82680

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/82680

Therefore, the GCF of Fractions 586/195,180/424 is 2/82680

Least Common Multiple of 195,424 with GCF Formula

Least Common Multiple of 195,424 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 195,424 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(195,424) = 1

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

GCF(195,424) x common factors =1 x 1 = 1

LCM(195,424) = ( 195 × 424 ) / 1

LCM(195,424) = 82680 / 1

LCM(195,424) = 82680


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FAQs on GCF of Fractions of 586/195, 180/424

1. What is the HCF of 586,180?

The HCF of 586,180 is 2

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 586/195, 180/424?

Answer: GCF of Numerators as per given numbers 586/195, 180/424 is

GCF of Numerators i.e. for 586,180 is 2

LCM of denominators i.e. for 195,424 is 82680.

Thus, GCF of Fractions is 2/82680.Finally, GCF of Fractions for 586/195, 180/424 is 2/82680.