How to Find GCF of 50/23, 66/59, 882/24?

GCF of 50/23, 66/59, 882/24

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 50/23, 66/59, 882/24 i.e 2/32568 easily. The following is the detailed procedure to determine the greatest common factor of fractions 50/23, 66/59, 882/24.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 50/23,66/59,882/24?

Given fractions are 50/23,66/59,882/24

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 50/23,66/59,882/24, numerators are 50,66,882

Denominators are 23,59,24

The GCF of 50,66,882 is 2 .

LCM of 23,59,24 is 32568.

The greatest common factor of 50/23,66/59,882/24 = [GCF of 50,66,882]/[LCM of 23,59,24]= 2/32568

Therefore, the GCF of 50/23,66/59,882/24 is 2/32568.

Greatest Common Factor of 50,66,882

To find the highest common factor of 50,66,882, we have to find the factors of both numbers and list the highest common factor.

The factors of 50 are 1, 2, 5, 10, 25, 50

The factors of 66 are 1, 2, 3, 6, 11, 22, 33, 66

The factors of 882 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

The HCF of 50,66,882 is 2.

Lets's calculate GCF of 50,66,882

Greatest Common Factor (GCF) of 50,66,882 By Common Division

2	50, 66, 882
	25, 33, 441

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

Greatest Common Factor of 50,66,882 By Matching Biggest Common Factor Method

Now, list down the factors of 50

1,2,5,10,25,50

Now, list down the factors of 66

1,2,3,6,11,22,33,66

Now, list down the factors of 882

1,2,3,6,7,9,14,18,21,42,49,63,98,126,147,294,441,882

Greatest Common Factor

We found the factors 50,66,882 . The biggest common factor number is the GCF number.
So the greatest common factor 50,66,882 is 2.

Lets's calculate LCM of 23,59,24

Lowest Common Multiple of 23,59,24 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 32568

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/32568

Therefore, the GCF of Fractions 50/23,66/59,882/24 is 2/32568

Least Common Multiple of 23,59,24 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 23,59,24 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,59,24) = 1

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

GCF(23,59,24) x common factors =1 x 1 = 1

LCM(23,59,24) = ( 23 × 59 × 24 ) / 1

LCM(23,59,24) = 32568 / 1

LCM(23,59,24) = 32568

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FAQs on GCF of Fractions of 50/23, 66/59, 882/24

1. What is the HCF of 50,66,882?

The HCF of 50,66,882 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 50/23, 66/59, 882/24?

Answer: GCF of Numerators as per given numbers 50/23, 66/59, 882/24 is

GCF of Numerators i.e. for 50,66,882 is 2

LCM of denominators i.e. for 23,59,24 is 32568.

Thus, GCF of Fractions is 2/32568.Finally, GCF of Fractions for 50/23, 66/59, 882/24 is 2/32568.