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GCF of 180/184, 562/184

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 180/184, 562/184 i.e 2/184 easily. The following is the detailed procedure to determine the greatest common factor of fractions 180/184, 562/184.

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 180/184,562/184?

Given fractions are 180/184,562/184

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 180/184,562/184, numerators are 180,562

Denominators are 184,184

The GCF of 180,562 is 2 .

LCM of 184,184 is 184.

The greatest common factor of 180/184,562/184 = [GCF of 180,562]/[LCM of 184,184]= 2/184

Therefore, the GCF of 180/184,562/184 is 2/184.

Greatest Common Factor of 180,562

To find the highest common factor of 180,562, we have to find the factors of both numbers and list the highest common factor.

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

The factors of 562 are 1, 2, 281, 562

The HCF of 180,562 is 2.

Lets's calculate GCF of 180,562

Greatest Common Factor (GCF) of 180,562 By Common Division

2 180, 562
90, 281

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

Greatest Common Factor of 180,562 By Matching Biggest Common Factor Method

Greatest Common Factor of 180,562 By Matching Biggest Common Factor Method

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

Now, list down the factors of 562

:

1,2,281,562

Greatest Common Factor

We found the factors 180,562 . The biggest common factor number is the GCF number.
So the greatest common factor 180,562 is 2.

Lets's calculate LCM of 184,184

Lowest Common Multiple of 184,184 using Common Division

2 184, 184
2 92, 92
2 46, 46
23 23, 23
1, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 23 x 1 x 1 = 184

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/184

Therefore, the GCF of Fractions 180/184,562/184 is 2/184

Least Common Multiple of 184,184 with GCF Formula

Least Common Multiple of 184,184 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 184,184 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(184,184) = 184

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

GCF(184,184) x common factors =184 x 1 = 184

LCM(184,184) = ( 184 × 184 ) / 184

LCM(184,184) = 33856 / 184

LCM(184,184) = 184


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 180/184, 562/184

1. What is the HCF of 180,562?

The HCF of 180,562 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 180/184, 562/184?

Answer: GCF of Numerators as per given numbers 180/184, 562/184 is

GCF of Numerators i.e. for 180,562 is 2

LCM of denominators i.e. for 184,184 is 184.

Thus, GCF of Fractions is 2/184.Finally, GCF of Fractions for 180/184, 562/184 is 2/184.