GCD of 642, 484, 736, 600 Calculator

Given Input numbers are 642, 484, 736, 600

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

Divisors of 642 :

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

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

Divisors of 484 :

The positive integer divisors of 484 that completely divides 484 are.

1, 2, 4, 11, 22, 44, 121, 242, 484

Divisors of 736 :

The positive integer divisors of 736 that completely divides 736 are.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

GCD of numbers is the greatest common divisor

So, the GCD (642, 484, 736, 600) = 2.

Given numbers are 642, 484, 736, 600

The list of prime factors of all numbers are

Prime factors of 642 are 2 x 3 x 107

Prime factors of 484 are 2 x 2 x 11 x 11

Prime factors of 736 are 2 x 2 x 2 x 2 x 2 x 23

Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5

The highest common occurrence is 2¹

Therefore, GCD of 642, 484, 736, 600 is 2.

Given numbers are 642, 484, 736, 600

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

Apply this formula for all numbers.

Step1:

LCM(642, 484) = 155364

GCD(642, 484) = ( 642 x 484 ) / 155364

= 642 / 484

= 642

Step2:

LCM(2, 736) = 736

GCD(2, 736) = ( 2 x 736 ) / 736

= 2 / 736

= 2

Step3:

LCM(2, 600) = 600

GCD(2, 600) = ( 2 x 600 ) / 600

= 2 / 600

= 2

So, Greatest Common Divisor of 642, 484, 736, 600 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 958, 632, 774, 618
• GCD of 638, 110, 237, 975
• GCD of 925, 256, 812, 603
• GCD of 333, 498, 310, 298
• GCD of 416, 939, 707, 616

Given numbers are 642, 484, 736, 600
The greatest common divisor of numbers 642, 484, 736, 600 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 642, 484, 736, 600 is 2.

1. What is the GCD of 642, 484, 736, 600?

GCD of given numbers 642, 484, 736, 600 is 2

2. How to calculate the greatest common divisor of 642, 484, 736, 600?

We can find the highest common divisor of 642, 484, 736, 600 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 642, 484, 736, 600 i.e 2.

3. How can I use the GCD of 642, 484, 736, 600Calculator?

Out the numbers 642, 484, 736, 600 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.