How to Find GCF of 34/378, 19/164, 958/737?

GCF of 34/378, 19/164, 958/737

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 34/378, 19/164, 958/737 i.e 1/22844052 easily. The following is the detailed procedure to determine the greatest common factor of fractions 34/378, 19/164, 958/737.

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 34/378,19/164,958/737?

Given fractions are 34/378,19/164,958/737

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 34/378,19/164,958/737, numerators are 34,19,958

Denominators are 378,164,737

The GCF of 34,19,958 is 1 .

LCM of 378,164,737 is 22844052.

The greatest common factor of 34/378,19/164,958/737 = [GCF of 34,19,958]/[LCM of 378,164,737]= 1/22844052

Therefore, the GCF of 34/378,19/164,958/737 is 1/22844052.

Greatest Common Factor of 34,19,958

To find the highest common factor of 34,19,958, we have to find the factors of both numbers and list the highest common factor.

The factors of 34 are 1, 2, 17, 34

The factors of 19 are 1, 19

The factors of 958 are 1, 2, 479, 958

The HCF of 34,19,958 is 1.

Lets's calculate GCF of 34,19,958

Greatest Common Factor (GCF) of 34,19,958 By Common Division

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

Greatest Common Factor of 34,19,958 By Matching Biggest Common Factor Method

Now, list down the factors of 34

1,2,17,34

Now, list down the factors of 19

1,19

Now, list down the factors of 958

1,2,479,958

Greatest Common Factor

We found the factors 34,19,958 . The biggest common factor number is the GCF number.
So the greatest common factor 34,19,958 is 1.

Lets's calculate LCM of 378,164,737

Lowest Common Multiple of 378,164,737 using Common Division

2	378, 164, 737
	189, 82, 737

∴ So the LCM of the given numbers is 2 x 189 x 82 x 737 = 22844052

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22844052

Therefore, the GCF of Fractions 34/378,19/164,958/737 is 1/22844052

Least Common Multiple of 378,164,737 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 378,164,737 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(378,164,737) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(378,164,737) x common factors =1 x 2 = 2

LCM(378,164,737) = ( 378 × 164 × 737 ) / 2

LCM(378,164,737) = 45688104 / 2

LCM(378,164,737) = 22844052

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 34/378, 19/164, 958/737

1. What is the HCF of 34,19,958?

The HCF of 34,19,958 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 34/378, 19/164, 958/737?

Answer: GCF of Numerators as per given numbers 34/378, 19/164, 958/737 is

GCF of Numerators i.e. for 34,19,958 is 1

LCM of denominators i.e. for 378,164,737 is 22844052.

Thus, GCF of Fractions is 1/22844052.Finally, GCF of Fractions for 34/378, 19/164, 958/737 is 1/22844052.