How to Find GCF of 952/204, 401/336?

GCF of 952/204, 401/336

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 952/204, 401/336 i.e 1/5712 easily. The following is the detailed procedure to determine the greatest common factor of fractions 952/204, 401/336.

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 952/204,401/336?

Given fractions are 952/204,401/336

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 952/204,401/336, numerators are 952,401

Denominators are 204,336

The GCF of 952,401 is 1 .

LCM of 204,336 is 5712.

The greatest common factor of 952/204,401/336 = [GCF of 952,401]/[LCM of 204,336]= 1/5712

Therefore, the GCF of 952/204,401/336 is 1/5712.

Greatest Common Factor of 952,401

To find the highest common factor of 952,401, we have to find the factors of both numbers and list the highest common factor.

The factors of 952 are 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

The factors of 401 are 1, 401

The HCF of 952,401 is 1.

Lets's calculate GCF of 952,401

Greatest Common Factor (GCF) of 952,401 By Common Division

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

Greatest Common Factor of 952,401 By Matching Biggest Common Factor Method

Now, list down the factors of 952

1,2,4,7,8,14,17,28,34,56,68,119,136,238,476,952

Now, list down the factors of 401

1,401

Greatest Common Factor

We found the factors 952,401 . The biggest common factor number is the GCF number.
So the greatest common factor 952,401 is 1.

Lets's calculate LCM of 204,336

Lowest Common Multiple of 204,336 using Common Division

2	204, 336
2	102, 168
3	51, 84
	17, 28

∴ So the LCM of the given numbers is 2 x 2 x 3 x 17 x 28 = 5712

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5712

Therefore, the GCF of Fractions 952/204,401/336 is 1/5712

Least Common Multiple of 204,336 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 204,336 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(204,336) = 12

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

GCF(204,336) x common factors =12 x 1 = 12

LCM(204,336) = ( 204 × 336 ) / 12

LCM(204,336) = 68544 / 12

LCM(204,336) = 5712

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FAQs on GCF of Fractions of 952/204, 401/336

1. What is the HCF of 952,401?

The HCF of 952,401 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 952/204, 401/336?

Answer: GCF of Numerators as per given numbers 952/204, 401/336 is

GCF of Numerators i.e. for 952,401 is 1

LCM of denominators i.e. for 204,336 is 5712.

Thus, GCF of Fractions is 1/5712.Finally, GCF of Fractions for 952/204, 401/336 is 1/5712.