How to Find GCF of 434/388, 304/508?

GCF of 434/388, 304/508

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 434/388, 304/508 i.e 2/49276 easily. The following is the detailed procedure to determine the greatest common factor of fractions 434/388, 304/508.

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 434/388,304/508?

Given fractions are 434/388,304/508

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 434/388,304/508, numerators are 434,304

Denominators are 388,508

The GCF of 434,304 is 2 .

LCM of 388,508 is 49276.

The greatest common factor of 434/388,304/508 = [GCF of 434,304]/[LCM of 388,508]= 2/49276

Therefore, the GCF of 434/388,304/508 is 2/49276.

Greatest Common Factor of 434,304

To find the highest common factor of 434,304, we have to find the factors of both numbers and list the highest common factor.

The factors of 434 are 1, 2, 7, 14, 31, 62, 217, 434

The factors of 304 are 1, 2, 4, 8, 16, 19, 38, 76, 152, 304

The HCF of 434,304 is 2.

Lets's calculate GCF of 434,304

Greatest Common Factor (GCF) of 434,304 By Common Division

2	434, 304
	217, 152

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

Greatest Common Factor of 434,304 By Matching Biggest Common Factor Method

Now, list down the factors of 434

1,2,7,14,31,62,217,434

Now, list down the factors of 304

1,2,4,8,16,19,38,76,152,304

Greatest Common Factor

We found the factors 434,304 . The biggest common factor number is the GCF number.
So the greatest common factor 434,304 is 2.

Lets's calculate LCM of 388,508

Lowest Common Multiple of 388,508 using Common Division

2	388, 508
2	194, 254
	97, 127

∴ So the LCM of the given numbers is 2 x 2 x 97 x 127 = 49276

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/49276

Therefore, the GCF of Fractions 434/388,304/508 is 2/49276

Least Common Multiple of 388,508 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 388,508 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(388,508) = 4

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

GCF(388,508) x common factors =4 x 1 = 4

LCM(388,508) = ( 388 × 508 ) / 4

LCM(388,508) = 197104 / 4

LCM(388,508) = 49276

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 434/388, 304/508

1. What is the HCF of 434,304?

The HCF of 434,304 is 2

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 434/388, 304/508?

Answer: GCF of Numerators as per given numbers 434/388, 304/508 is

GCF of Numerators i.e. for 434,304 is 2

LCM of denominators i.e. for 388,508 is 49276.

Thus, GCF of Fractions is 2/49276.Finally, GCF of Fractions for 434/388, 304/508 is 2/49276.