GCD of 304, 242, 536, 140 Calculator

Given Input numbers are 304, 242, 536, 140

In the factoring method, we have to find the divisors of all numbers

Divisors of 304 :

The positive integer divisors of 304 that completely divides 304 are.

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

Divisors of 242 :

The positive integer divisors of 242 that completely divides 242 are.

1, 2, 11, 22, 121, 242

Divisors of 536 :

The positive integer divisors of 536 that completely divides 536 are.

1, 2, 4, 8, 67, 134, 268, 536

Divisors of 140 :

The positive integer divisors of 140 that completely divides 140 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

GCD of numbers is the greatest common divisor

So, the GCD (304, 242, 536, 140) = 2.

Given numbers are 304, 242, 536, 140

The list of prime factors of all numbers are

Prime factors of 304 are 2 x 2 x 2 x 2 x 19

Prime factors of 242 are 2 x 11 x 11

Prime factors of 536 are 2 x 2 x 2 x 67

Prime factors of 140 are 2 x 2 x 5 x 7

The highest common occurrence is 2¹

Therefore, GCD of 304, 242, 536, 140 is 2.

Given numbers are 304, 242, 536, 140

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(304, 242) = 36784

GCD(304, 242) = ( 304 x 242 ) / 36784

= 304 / 242

= 304

Step2:

LCM(2, 536) = 536

GCD(2, 536) = ( 2 x 536 ) / 536

= 2 / 536

= 2

Step3:

LCM(2, 140) = 140

GCD(2, 140) = ( 2 x 140 ) / 140

= 2 / 140

= 2

So, Greatest Common Divisor of 304, 242, 536, 140 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 609, 706, 227, 700
• GCD of 475, 291, 624, 810
• GCD of 480, 666, 359, 660
• GCD of 422, 146, 858, 730
• GCD of 339, 573, 280, 199

Given numbers are 304, 242, 536, 140
The greatest common divisor of numbers 304, 242, 536, 140 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 304, 242, 536, 140 is 2.

1. What is the GCD of 304, 242, 536, 140?

GCD of given numbers 304, 242, 536, 140 is 2

2. How to calculate the greatest common divisor of 304, 242, 536, 140?

We can find the highest common divisor of 304, 242, 536, 140 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 304, 242, 536, 140 i.e 2.

3. How can I use the GCD of 304, 242, 536, 140Calculator?

Out the numbers 304, 242, 536, 140 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.