GCD of 608, 100, 800, 642 Calculator

Given Input numbers are 608, 100, 800, 642

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

Divisors of 608 :

The positive integer divisors of 608 that completely divides 608 are.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

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 800 :

The positive integer divisors of 800 that completely divides 800 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 642 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (608, 100, 800, 642) = 2.

Given numbers are 608, 100, 800, 642

The list of prime factors of all numbers are

Prime factors of 608 are 2 x 2 x 2 x 2 x 2 x 19

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

Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 642 are 2 x 3 x 107

The highest common occurrence is 2¹

Therefore, GCD of 608, 100, 800, 642 is 2.

Given numbers are 608, 100, 800, 642

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

Apply this formula for all numbers.

Step1:

LCM(608, 100) = 15200

GCD(608, 100) = ( 608 x 100 ) / 15200

= 608 / 100

= 608

Step2:

LCM(4, 800) = 800

GCD(4, 800) = ( 4 x 800 ) / 800

= 4 / 800

= 4

Step3:

LCM(4, 642) = 1284

GCD(4, 642) = ( 4 x 642 ) / 1284

= 4 / 642

= 4

So, Greatest Common Divisor of 608, 100, 800, 642 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 308, 160, 972, 373
• GCD of 679, 168, 212, 157
• GCD of 943, 738, 873, 945
• GCD of 899, 898, 679, 262
• GCD of 804, 642, 465, 407

Given numbers are 608, 100, 800, 642
The greatest common divisor of numbers 608, 100, 800, 642 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 608, 100, 800, 642 is 2.

1. What is the GCD of 608, 100, 800, 642?

GCD of given numbers 608, 100, 800, 642 is 2

2. How to calculate the greatest common divisor of 608, 100, 800, 642?

We can find the highest common divisor of 608, 100, 800, 642 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 608, 100, 800, 642 i.e 2.

3. How can I use the GCD of 608, 100, 800, 642Calculator?

Out the numbers 608, 100, 800, 642 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.