How to Find GCF of 437/194, 171/307?

GCF of 437/194, 171/307

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 437/194, 171/307 i.e 19/59558 easily. The following is the detailed procedure to determine the greatest common factor of fractions 437/194, 171/307.

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 437/194,171/307?

Given fractions are 437/194,171/307

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 437/194,171/307, numerators are 437,171

Denominators are 194,307

The GCF of 437,171 is 19 .

LCM of 194,307 is 59558.

The greatest common factor of 437/194,171/307 = [GCF of 437,171]/[LCM of 194,307]= 19/59558

Therefore, the GCF of 437/194,171/307 is 19/59558.

Greatest Common Factor of 437,171

To find the highest common factor of 437,171, we have to find the factors of both numbers and list the highest common factor.

The factors of 437 are 1, 19, 23, 437

The factors of 171 are 1, 3, 9, 19, 57, 171

The HCF of 437,171 is 19.

Lets's calculate GCF of 437,171

Greatest Common Factor (GCF) of 437,171 By Common Division

19	437, 171
	23, 9

∴ So the GCF of the given numbers is 19 = 19

Greatest Common Factor of 437,171 By Matching Biggest Common Factor Method

Now, list down the factors of 437

1,19,23,437

Now, list down the factors of 171

1,3,9,19,57,171

Greatest Common Factor

We found the factors 437,171 . The biggest common factor number is the GCF number.
So the greatest common factor 437,171 is 19.

Lets's calculate LCM of 194,307

Lowest Common Multiple of 194,307 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 59558

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/59558

Therefore, the GCF of Fractions 437/194,171/307 is 19/59558

Least Common Multiple of 194,307 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 194,307 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(194,307) = 1

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

GCF(194,307) x common factors =1 x 1 = 1

LCM(194,307) = ( 194 × 307 ) / 1

LCM(194,307) = 59558 / 1

LCM(194,307) = 59558

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FAQs on GCF of Fractions of 437/194, 171/307

1. What is the HCF of 437,171?

The HCF of 437,171 is 19

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 437/194, 171/307?

Answer: GCF of Numerators as per given numbers 437/194, 171/307 is

GCF of Numerators i.e. for 437,171 is 19

LCM of denominators i.e. for 194,307 is 59558.

Thus, GCF of Fractions is 19/59558.Finally, GCF of Fractions for 437/194, 171/307 is 19/59558.