GCD of 100, 901, 821, 212 Calculator

Given Input numbers are 100, 901, 821, 212

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 901 :

The positive integer divisors of 901 that completely divides 901 are.

1, 17, 53, 901

Divisors of 821 :

The positive integer divisors of 821 that completely divides 821 are.

1, 821

Divisors of 212 :

The positive integer divisors of 212 that completely divides 212 are.

1, 2, 4, 53, 106, 212

GCD of numbers is the greatest common divisor

So, the GCD (100, 901, 821, 212) = 1.

Given numbers are 100, 901, 821, 212

The list of prime factors of all numbers are

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

Prime factors of 901 are 17 x 53

Prime factors of 821 are 821

Prime factors of 212 are 2 x 2 x 53

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

Given numbers are 100, 901, 821, 212

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

Apply this formula for all numbers.

Step1:

LCM(100, 901) = 90100

GCD(100, 901) = ( 100 x 901 ) / 90100

= 100 / 901

= 100

Step2:

LCM(1, 821) = 821

GCD(1, 821) = ( 1 x 821 ) / 821

= 1 / 821

= 1

Step3:

LCM(1, 212) = 212

GCD(1, 212) = ( 1 x 212 ) / 212

= 1 / 212

= 1

So, Greatest Common Divisor of 100, 901, 821, 212 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 314, 621, 980, 777
• GCD of 505, 949, 278, 338
• GCD of 184, 752, 845, 817
• GCD of 933, 256, 276, 753
• GCD of 374, 928, 472, 610

Given numbers are 100, 901, 821, 212
The greatest common divisor of numbers 100, 901, 821, 212 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 901, 821, 212 is 1.

1. What is the GCD of 100, 901, 821, 212?

GCD of given numbers 100, 901, 821, 212 is 1

2. How to calculate the greatest common divisor of 100, 901, 821, 212?

We can find the highest common divisor of 100, 901, 821, 212 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, 901, 821, 212 i.e 1.

3. How can I use the GCD of 100, 901, 821, 212Calculator?

Out the numbers 100, 901, 821, 212 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.