How to Find GCF of 392/404, 5052/250?

GCF of 392/404, 5052/250

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 392/404, 5052/250 i.e 4/50500 easily. The following is the detailed procedure to determine the greatest common factor of fractions 392/404, 5052/250.

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 392/404,5052/250?

Given fractions are 392/404,5052/250

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 392/404,5052/250, numerators are 392,5052

Denominators are 404,250

The GCF of 392,5052 is 4 .

LCM of 404,250 is 50500.

The greatest common factor of 392/404,5052/250 = [GCF of 392,5052]/[LCM of 404,250]= 4/50500

Therefore, the GCF of 392/404,5052/250 is 4/50500.

Greatest Common Factor of 392,5052

To find the highest common factor of 392,5052, we have to find the factors of both numbers and list the highest common factor.

The factors of 392 are 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

The factors of 5052 are 1, 2, 3, 4, 6, 12, 421, 842, 1263, 1684, 2526, 5052

The HCF of 392,5052 is 4.

Lets's calculate GCF of 392,5052

Greatest Common Factor (GCF) of 392,5052 By Common Division

2	392, 5052
2	196, 2526
	98, 1263

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 392,5052 By Matching Biggest Common Factor Method

Now, list down the factors of 392

1,2,4,7,8,14,28,49,56,98,196,392

Now, list down the factors of 5052

1,2,3,4,6,12,421,842,1263,1684,2526,5052

Greatest Common Factor

We found the factors 392,5052 . The biggest common factor number is the GCF number.
So the greatest common factor 392,5052 is 4.

Lets's calculate LCM of 404,250

Lowest Common Multiple of 404,250 using Common Division

2	404, 250
	202, 125

∴ So the LCM of the given numbers is 2 x 202 x 125 = 50500

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/50500

Therefore, the GCF of Fractions 392/404,5052/250 is 4/50500

Least Common Multiple of 404,250 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 404,250 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(404,250) = 2

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

GCF(404,250) x common factors =2 x 1 = 2

LCM(404,250) = ( 404 × 250 ) / 2

LCM(404,250) = 101000 / 2

LCM(404,250) = 50500

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 392/404, 5052/250

1. What is the HCF of 392,5052?

The HCF of 392,5052 is 4

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 392/404, 5052/250?

Answer: GCF of Numerators as per given numbers 392/404, 5052/250 is

GCF of Numerators i.e. for 392,5052 is 4

LCM of denominators i.e. for 404,250 is 50500.

Thus, GCF of Fractions is 4/50500.Finally, GCF of Fractions for 392/404, 5052/250 is 4/50500.