GCD of 100, 508, 557, 164 Calculator

Given Input numbers are 100, 508, 557, 164

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 508 :

The positive integer divisors of 508 that completely divides 508 are.

1, 2, 4, 127, 254, 508

Divisors of 557 :

The positive integer divisors of 557 that completely divides 557 are.

1, 557

Divisors of 164 :

The positive integer divisors of 164 that completely divides 164 are.

1, 2, 4, 41, 82, 164

GCD of numbers is the greatest common divisor

So, the GCD (100, 508, 557, 164) = 1.

Given numbers are 100, 508, 557, 164

The list of prime factors of all numbers are

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

Prime factors of 508 are 2 x 2 x 127

Prime factors of 557 are 557

Prime factors of 164 are 2 x 2 x 41

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

Given numbers are 100, 508, 557, 164

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

Apply this formula for all numbers.

Step1:

LCM(100, 508) = 12700

GCD(100, 508) = ( 100 x 508 ) / 12700

= 100 / 508

= 100

Step2:

LCM(4, 557) = 2228

GCD(4, 557) = ( 4 x 557 ) / 2228

= 4 / 557

= 4

Step3:

LCM(1, 164) = 164

GCD(1, 164) = ( 1 x 164 ) / 164

= 1 / 164

= 1

So, Greatest Common Divisor of 100, 508, 557, 164 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 509, 693, 947, 146
• GCD of 806, 576, 968, 304
• GCD of 108, 576, 429, 290
• GCD of 123, 935, 805, 424
• GCD of 372, 924, 514, 973

Given numbers are 100, 508, 557, 164
The greatest common divisor of numbers 100, 508, 557, 164 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 508, 557, 164 is 1.

1. What is the GCD of 100, 508, 557, 164?

GCD of given numbers 100, 508, 557, 164 is 1

2. How to calculate the greatest common divisor of 100, 508, 557, 164?

We can find the highest common divisor of 100, 508, 557, 164 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, 508, 557, 164 i.e 1.

3. How can I use the GCD of 100, 508, 557, 164Calculator?

Out the numbers 100, 508, 557, 164 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.