GCD of 496, 642, 609, 700 Calculator

Given Input numbers are 496, 642, 609, 700

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

Divisors of 496 :

The positive integer divisors of 496 that completely divides 496 are.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 642 :

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

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

Divisors of 609 :

The positive integer divisors of 609 that completely divides 609 are.

1, 3, 7, 21, 29, 87, 203, 609

Divisors of 700 :

The positive integer divisors of 700 that completely divides 700 are.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

GCD of numbers is the greatest common divisor

So, the GCD (496, 642, 609, 700) = 1.

Given numbers are 496, 642, 609, 700

The list of prime factors of all numbers are

Prime factors of 496 are 2 x 2 x 2 x 2 x 31

Prime factors of 642 are 2 x 3 x 107

Prime factors of 609 are 3 x 7 x 29

Prime factors of 700 are 2 x 2 x 5 x 5 x 7

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

Given numbers are 496, 642, 609, 700

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

Apply this formula for all numbers.

Step1:

LCM(496, 642) = 159216

GCD(496, 642) = ( 496 x 642 ) / 159216

= 496 / 642

= 496

Step2:

LCM(2, 609) = 1218

GCD(2, 609) = ( 2 x 609 ) / 1218

= 2 / 609

= 2

Step3:

LCM(1, 700) = 700

GCD(1, 700) = ( 1 x 700 ) / 700

= 1 / 700

= 1

So, Greatest Common Divisor of 496, 642, 609, 700 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 164, 642, 570, 180
• GCD of 501, 130, 946, 499
• GCD of 579, 783, 269, 149
• GCD of 891, 570, 961, 104
• GCD of 142, 405, 775, 962

Given numbers are 496, 642, 609, 700
The greatest common divisor of numbers 496, 642, 609, 700 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 496, 642, 609, 700 is 1.

1. What is the GCD of 496, 642, 609, 700?

GCD of given numbers 496, 642, 609, 700 is 1

2. How to calculate the greatest common divisor of 496, 642, 609, 700?

We can find the highest common divisor of 496, 642, 609, 700 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 496, 642, 609, 700 i.e 1.

3. How can I use the GCD of 496, 642, 609, 700Calculator?

Out the numbers 496, 642, 609, 700 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.