GCD of 642, 100, 741, 500 Calculator

Given Input numbers are 642, 100, 741, 500

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 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 741 :

The positive integer divisors of 741 that completely divides 741 are.

1, 3, 13, 19, 39, 57, 247, 741

Divisors of 500 :

The positive integer divisors of 500 that completely divides 500 are.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

GCD of numbers is the greatest common divisor

So, the GCD (642, 100, 741, 500) = 1.

Given numbers are 642, 100, 741, 500

The list of prime factors of all numbers are

Prime factors of 642 are 2 x 3 x 107

Prime factors of 100 are 2 x 2 x 5 x 5

Prime factors of 741 are 3 x 13 x 19

Prime factors of 500 are 2 x 2 x 5 x 5 x 5

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 642, 100, 741, 500

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

Apply this formula for all numbers.

Step1:

LCM(642, 100) = 32100

GCD(642, 100) = ( 642 x 100 ) / 32100

= 642 / 100

= 642

Step2:

LCM(2, 741) = 1482

GCD(2, 741) = ( 2 x 741 ) / 1482

= 2 / 741

= 2

Step3:

LCM(1, 500) = 500

GCD(1, 500) = ( 1 x 500 ) / 500

= 1 / 500

= 1

So, Greatest Common Divisor of 642, 100, 741, 500 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 158, 671, 164, 535
• GCD of 118, 205, 729, 937
• GCD of 805, 204, 493, 798
• GCD of 231, 450, 708, 432
• GCD of 641, 550, 547, 672

Given numbers are 642, 100, 741, 500
The greatest common divisor of numbers 642, 100, 741, 500 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 642, 100, 741, 500 is 1.

1. What is the GCD of 642, 100, 741, 500?

GCD of given numbers 642, 100, 741, 500 is 1

2. How to calculate the greatest common divisor of 642, 100, 741, 500?

We can find the highest common divisor of 642, 100, 741, 500 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, 100, 741, 500 i.e 1.

3. How can I use the GCD of 642, 100, 741, 500Calculator?

Out the numbers 642, 100, 741, 500 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.