GCD of 361, 100, 192, 840 Calculator

Given Input numbers are 361, 100, 192, 840

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

Divisors of 361 :

The positive integer divisors of 361 that completely divides 361 are.

1, 19, 361

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 192 :

The positive integer divisors of 192 that completely divides 192 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

Divisors of 840 :

The positive integer divisors of 840 that completely divides 840 are.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

GCD of numbers is the greatest common divisor

So, the GCD (361, 100, 192, 840) = 1.

Given numbers are 361, 100, 192, 840

The list of prime factors of all numbers are

Prime factors of 361 are 19 x 19

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

Prime factors of 192 are 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7

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

Given numbers are 361, 100, 192, 840

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

Apply this formula for all numbers.

Step1:

LCM(361, 100) = 36100

GCD(361, 100) = ( 361 x 100 ) / 36100

= 361 / 100

= 361

Step2:

LCM(1, 192) = 192

GCD(1, 192) = ( 1 x 192 ) / 192

= 1 / 192

= 1

Step3:

LCM(1, 840) = 840

GCD(1, 840) = ( 1 x 840 ) / 840

= 1 / 840

= 1

So, Greatest Common Divisor of 361, 100, 192, 840 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 631, 552, 148, 552
• GCD of 592, 871, 840, 280
• GCD of 277, 392, 136, 140
• GCD of 428, 488, 507, 374
• GCD of 983, 376, 380, 947

Given numbers are 361, 100, 192, 840
The greatest common divisor of numbers 361, 100, 192, 840 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 361, 100, 192, 840 is 1.

1. What is the GCD of 361, 100, 192, 840?

GCD of given numbers 361, 100, 192, 840 is 1

2. How to calculate the greatest common divisor of 361, 100, 192, 840?

We can find the highest common divisor of 361, 100, 192, 840 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 361, 100, 192, 840 i.e 1.

3. How can I use the GCD of 361, 100, 192, 840Calculator?

Out the numbers 361, 100, 192, 840 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.