GCD of 850, 252, 409, 960 Calculator

Given Input numbers are 850, 252, 409, 960

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

Divisors of 850 :

The positive integer divisors of 850 that completely divides 850 are.

1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

Divisors of 252 :

The positive integer divisors of 252 that completely divides 252 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Divisors of 409 :

The positive integer divisors of 409 that completely divides 409 are.

1, 409

Divisors of 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

GCD of numbers is the greatest common divisor

So, the GCD (850, 252, 409, 960) = 1.

Given numbers are 850, 252, 409, 960

The list of prime factors of all numbers are

Prime factors of 850 are 2 x 5 x 5 x 17

Prime factors of 252 are 2 x 2 x 3 x 3 x 7

Prime factors of 409 are 409

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

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

Given numbers are 850, 252, 409, 960

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

Apply this formula for all numbers.

Step1:

LCM(850, 252) = 107100

GCD(850, 252) = ( 850 x 252 ) / 107100

= 850 / 252

= 850

Step2:

LCM(2, 409) = 818

GCD(2, 409) = ( 2 x 409 ) / 818

= 2 / 409

= 2

Step3:

LCM(1, 960) = 960

GCD(1, 960) = ( 1 x 960 ) / 960

= 1 / 960

= 1

So, Greatest Common Divisor of 850, 252, 409, 960 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 468, 728, 877, 912
• GCD of 159, 431, 456, 997
• GCD of 775, 676, 153, 783
• GCD of 767, 115, 830, 827
• GCD of 183, 314, 793, 870

Given numbers are 850, 252, 409, 960
The greatest common divisor of numbers 850, 252, 409, 960 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 850, 252, 409, 960 is 1.

1. What is the GCD of 850, 252, 409, 960?

GCD of given numbers 850, 252, 409, 960 is 1

2. How to calculate the greatest common divisor of 850, 252, 409, 960?

We can find the highest common divisor of 850, 252, 409, 960 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 850, 252, 409, 960 i.e 1.

3. How can I use the GCD of 850, 252, 409, 960Calculator?

Out the numbers 850, 252, 409, 960 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.