How to Find GCF of 396/341, 252/254?

GCF of 396/341, 252/254

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 396/341, 252/254 i.e 36/86614 easily. The following is the detailed procedure to determine the greatest common factor of fractions 396/341, 252/254.

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 396/341,252/254?

Given fractions are 396/341,252/254

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 396/341,252/254, numerators are 396,252

Denominators are 341,254

The GCF of 396,252 is 36 .

LCM of 341,254 is 86614.

The greatest common factor of 396/341,252/254 = [GCF of 396,252]/[LCM of 341,254]= 36/86614

Therefore, the GCF of 396/341,252/254 is 36/86614.

Greatest Common Factor of 396,252

To find the highest common factor of 396,252, we have to find the factors of both numbers and list the highest common factor.

The factors of 396 are 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

The factors of 252 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

The HCF of 396,252 is 36.

Lets's calculate GCF of 396,252

Greatest Common Factor (GCF) of 396,252 By Common Division

2	396, 252
2	198, 126
3	99, 63
3	33, 21
	11, 7

∴ So the GCF of the given numbers is 2 x 2 x 3 x 3 = 36

Greatest Common Factor of 396,252 By Matching Biggest Common Factor Method

Now, list down the factors of 396

1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,132,198,396

Now, list down the factors of 252

1,2,3,4,6,7,9,12,14,18,21,28,36,42,63,84,126,252

Greatest Common Factor

We found the factors 396,252 . The biggest common factor number is the GCF number.
So the greatest common factor 396,252 is 36.

Lets's calculate LCM of 341,254

Lowest Common Multiple of 341,254 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 86614

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 36/86614

Therefore, the GCF of Fractions 396/341,252/254 is 36/86614

Least Common Multiple of 341,254 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 341,254 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(341,254) = 1

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

GCF(341,254) x common factors =1 x 1 = 1

LCM(341,254) = ( 341 × 254 ) / 1

LCM(341,254) = 86614 / 1

LCM(341,254) = 86614

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 396/341, 252/254

1. What is the HCF of 396,252?

The HCF of 396,252 is 36

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 396/341, 252/254?

Answer: GCF of Numerators as per given numbers 396/341, 252/254 is

GCF of Numerators i.e. for 396,252 is 36

LCM of denominators i.e. for 341,254 is 86614.

Thus, GCF of Fractions is 36/86614.Finally, GCF of Fractions for 396/341, 252/254 is 36/86614.