GCD of 100, 142, 775, 596 Calculator

Given Input numbers are 100, 142, 775, 596

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

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 142 :

The positive integer divisors of 142 that completely divides 142 are.

1, 2, 71, 142

Divisors of 775 :

The positive integer divisors of 775 that completely divides 775 are.

1, 5, 25, 31, 155, 775

Divisors of 596 :

The positive integer divisors of 596 that completely divides 596 are.

1, 2, 4, 149, 298, 596

GCD of numbers is the greatest common divisor

So, the GCD (100, 142, 775, 596) = 1.

Given numbers are 100, 142, 775, 596

The list of prime factors of all numbers are

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

Prime factors of 142 are 2 x 71

Prime factors of 775 are 5 x 5 x 31

Prime factors of 596 are 2 x 2 x 149

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

Given numbers are 100, 142, 775, 596

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

Apply this formula for all numbers.

Step1:

LCM(100, 142) = 7100

GCD(100, 142) = ( 100 x 142 ) / 7100

= 100 / 142

= 100

Step2:

LCM(2, 775) = 1550

GCD(2, 775) = ( 2 x 775 ) / 1550

= 2 / 775

= 2

Step3:

LCM(1, 596) = 596

GCD(1, 596) = ( 1 x 596 ) / 596

= 1 / 596

= 1

So, Greatest Common Divisor of 100, 142, 775, 596 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 253, 624, 531, 710
• GCD of 900, 855, 249, 277
• GCD of 663, 645, 687, 961
• GCD of 667, 349, 762, 847
• GCD of 557, 705, 535, 427

Given numbers are 100, 142, 775, 596
The greatest common divisor of numbers 100, 142, 775, 596 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 142, 775, 596 is 1.

1. What is the GCD of 100, 142, 775, 596?

GCD of given numbers 100, 142, 775, 596 is 1

2. How to calculate the greatest common divisor of 100, 142, 775, 596?

We can find the highest common divisor of 100, 142, 775, 596 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 100, 142, 775, 596 i.e 1.

3. How can I use the GCD of 100, 142, 775, 596Calculator?

Out the numbers 100, 142, 775, 596 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.