GCD of 240, 564, 642, 153 Calculator

Given Input numbers are 240, 564, 642, 153

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

Divisors of 240 :

The positive integer divisors of 240 that completely divides 240 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

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 642 :

The positive integer divisors of 642 that completely divides 642 are.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 153 :

The positive integer divisors of 153 that completely divides 153 are.

1, 3, 9, 17, 51, 153

GCD of numbers is the greatest common divisor

So, the GCD (240, 564, 642, 153) = 3.

Given numbers are 240, 564, 642, 153

The list of prime factors of all numbers are

Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5

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

Prime factors of 642 are 2 x 3 x 107

Prime factors of 153 are 3 x 3 x 17

The highest common occurrence is 3¹

Therefore, GCD of 240, 564, 642, 153 is 3.

Given numbers are 240, 564, 642, 153

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

Apply this formula for all numbers.

Step1:

LCM(240, 564) = 11280

GCD(240, 564) = ( 240 x 564 ) / 11280

= 240 / 564

= 240

Step2:

LCM(12, 642) = 1284

GCD(12, 642) = ( 12 x 642 ) / 1284

= 12 / 642

= 12

Step3:

LCM(6, 153) = 306

GCD(6, 153) = ( 6 x 153 ) / 306

= 6 / 153

= 6

So, Greatest Common Divisor of 240, 564, 642, 153 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 136, 780, 797, 876
• GCD of 278, 971, 974, 229
• GCD of 624, 625, 513, 639
• GCD of 285, 728, 860, 434
• GCD of 329, 128, 151, 250

Given numbers are 240, 564, 642, 153
The greatest common divisor of numbers 240, 564, 642, 153 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 240, 564, 642, 153 is 3.

1. What is the GCD of 240, 564, 642, 153?

GCD of given numbers 240, 564, 642, 153 is 3

2. How to calculate the greatest common divisor of 240, 564, 642, 153?

We can find the highest common divisor of 240, 564, 642, 153 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 240, 564, 642, 153 i.e 3.

3. How can I use the GCD of 240, 564, 642, 153Calculator?

Out the numbers 240, 564, 642, 153 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.