How to Find GCF of 234/79, 821/95, 145/33?

GCF of 234/79, 821/95, 145/33

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 234/79, 821/95, 145/33 i.e 1/247665 easily. The following is the detailed procedure to determine the greatest common factor of fractions 234/79, 821/95, 145/33.

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 234/79,821/95,145/33?

Given fractions are 234/79,821/95,145/33

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 234/79,821/95,145/33, numerators are 234,821,145

Denominators are 79,95,33

The GCF of 234,821,145 is 1 .

LCM of 79,95,33 is 247665.

The greatest common factor of 234/79,821/95,145/33 = [GCF of 234,821,145]/[LCM of 79,95,33]= 1/247665

Therefore, the GCF of 234/79,821/95,145/33 is 1/247665.

Greatest Common Factor of 234,821,145

To find the highest common factor of 234,821,145, we have to find the factors of both numbers and list the highest common factor.

The factors of 234 are 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

The factors of 821 are 1, 821

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

The HCF of 234,821,145 is 1.

Lets's calculate GCF of 234,821,145

Greatest Common Factor (GCF) of 234,821,145 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 234,821,145 By Matching Biggest Common Factor Method

Now, list down the factors of 234

1,2,3,6,9,13,18,26,39,78,117,234

Now, list down the factors of 821

1,821

Now, list down the factors of 145

1,5,29,145

Greatest Common Factor

We found the factors 234,821,145 . The biggest common factor number is the GCF number.
So the greatest common factor 234,821,145 is 1.

Lets's calculate LCM of 79,95,33

Lowest Common Multiple of 79,95,33 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 247665

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/247665

Therefore, the GCF of Fractions 234/79,821/95,145/33 is 1/247665

Least Common Multiple of 79,95,33 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 79,95,33 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,95,33) = 1

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

GCF(79,95,33) x common factors =1 x 1 = 1

LCM(79,95,33) = ( 79 × 95 × 33 ) / 1

LCM(79,95,33) = 247665 / 1

LCM(79,95,33) = 247665

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 234/79, 821/95, 145/33

1. What is the HCF of 234,821,145?

The HCF of 234,821,145 is 1

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 234/79, 821/95, 145/33?

Answer: GCF of Numerators as per given numbers 234/79, 821/95, 145/33 is

GCF of Numerators i.e. for 234,821,145 is 1

LCM of denominators i.e. for 79,95,33 is 247665.

Thus, GCF of Fractions is 1/247665.Finally, GCF of Fractions for 234/79, 821/95, 145/33 is 1/247665.