How to Find GCF of 38/59, 20/89, 832/350?

GCF of 38/59, 20/89, 832/350

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 38/59, 20/89, 832/350 i.e 2/1837850 easily. The following is the detailed procedure to determine the greatest common factor of fractions 38/59, 20/89, 832/350.

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 38/59,20/89,832/350?

Given fractions are 38/59,20/89,832/350

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 38/59,20/89,832/350, numerators are 38,20,832

Denominators are 59,89,350

The GCF of 38,20,832 is 2 .

LCM of 59,89,350 is 1837850.

The greatest common factor of 38/59,20/89,832/350 = [GCF of 38,20,832]/[LCM of 59,89,350]= 2/1837850

Therefore, the GCF of 38/59,20/89,832/350 is 2/1837850.

Greatest Common Factor of 38,20,832

To find the highest common factor of 38,20,832, we have to find the factors of both numbers and list the highest common factor.

The factors of 38 are 1, 2, 19, 38

The factors of 20 are 1, 2, 4, 5, 10, 20

The factors of 832 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

The HCF of 38,20,832 is 2.

Lets's calculate GCF of 38,20,832

Greatest Common Factor (GCF) of 38,20,832 By Common Division

2	38, 20, 832
	19, 10, 416

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

Greatest Common Factor of 38,20,832 By Matching Biggest Common Factor Method

Now, list down the factors of 38

1,2,19,38

Now, list down the factors of 20

1,2,4,5,10,20

Now, list down the factors of 832

1,2,4,8,13,16,26,32,52,64,104,208,416,832

Greatest Common Factor

We found the factors 38,20,832 . The biggest common factor number is the GCF number.
So the greatest common factor 38,20,832 is 2.

Lets's calculate LCM of 59,89,350

Lowest Common Multiple of 59,89,350 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1837850

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1837850

Therefore, the GCF of Fractions 38/59,20/89,832/350 is 2/1837850

Least Common Multiple of 59,89,350 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 59,89,350 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,89,350) = 1

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

GCF(59,89,350) x common factors =1 x 1 = 1

LCM(59,89,350) = ( 59 × 89 × 350 ) / 1

LCM(59,89,350) = 1837850 / 1

LCM(59,89,350) = 1837850

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 38/59, 20/89, 832/350

1. What is the HCF of 38,20,832?

The HCF of 38,20,832 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 38/59, 20/89, 832/350?

Answer: GCF of Numerators as per given numbers 38/59, 20/89, 832/350 is

GCF of Numerators i.e. for 38,20,832 is 2

LCM of denominators i.e. for 59,89,350 is 1837850.

Thus, GCF of Fractions is 2/1837850.Finally, GCF of Fractions for 38/59, 20/89, 832/350 is 2/1837850.