GCD of 352, 564, 72, 242 Calculator

Given Input numbers are 352, 564, 72, 242

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

Divisors of 352 :

The positive integer divisors of 352 that completely divides 352 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Divisors of 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 72 :

The positive integer divisors of 72 that completely divides 72 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 242 :

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

1, 2, 11, 22, 121, 242

GCD of numbers is the greatest common divisor

So, the GCD (352, 564, 72, 242) = 2.

Given numbers are 352, 564, 72, 242

The list of prime factors of all numbers are

Prime factors of 352 are 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 564 are 2 x 2 x 3 x 47

Prime factors of 72 are 2 x 2 x 2 x 3 x 3

Prime factors of 242 are 2 x 11 x 11

The highest common occurrence is 2¹

Therefore, GCD of 352, 564, 72, 242 is 2.

Given numbers are 352, 564, 72, 242

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

Apply this formula for all numbers.

Step1:

LCM(352, 564) = 49632

GCD(352, 564) = ( 352 x 564 ) / 49632

= 352 / 564

= 352

Step2:

LCM(4, 72) = 72

GCD(4, 72) = ( 4 x 72 ) / 72

= 4 / 72

= 4

Step3:

LCM(4, 242) = 484

GCD(4, 242) = ( 4 x 242 ) / 484

= 4 / 242

= 4

So, Greatest Common Divisor of 352, 564, 72, 242 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 398, 165, 78, 862
• GCD of 609, 821, 94, 319
• GCD of 782, 597, 67, 420
• GCD of 899, 554, 80, 717
• GCD of 189, 562, 33, 802

Given numbers are 352, 564, 72, 242
The greatest common divisor of numbers 352, 564, 72, 242 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 352, 564, 72, 242 is 2.

1. What is the GCD of 352, 564, 72, 242?

GCD of given numbers 352, 564, 72, 242 is 2

2. How to calculate the greatest common divisor of 352, 564, 72, 242?

We can find the highest common divisor of 352, 564, 72, 242 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 352, 564, 72, 242 i.e 2.

3. How can I use the GCD of 352, 564, 72, 242Calculator?

Out the numbers 352, 564, 72, 242 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.