GCD of 900, 772, 977, 850 Calculator

Given Input numbers are 900, 772, 977, 850

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

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 772 :

The positive integer divisors of 772 that completely divides 772 are.

1, 2, 4, 193, 386, 772

Divisors of 977 :

The positive integer divisors of 977 that completely divides 977 are.

1, 977

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

GCD of numbers is the greatest common divisor

So, the GCD (900, 772, 977, 850) = 1.

Given numbers are 900, 772, 977, 850

The list of prime factors of all numbers are

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

Prime factors of 772 are 2 x 2 x 193

Prime factors of 977 are 977

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

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

Given numbers are 900, 772, 977, 850

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

Apply this formula for all numbers.

Step1:

LCM(900, 772) = 173700

GCD(900, 772) = ( 900 x 772 ) / 173700

= 900 / 772

= 900

Step2:

LCM(4, 977) = 3908

GCD(4, 977) = ( 4 x 977 ) / 3908

= 4 / 977

= 4

Step3:

LCM(1, 850) = 850

GCD(1, 850) = ( 1 x 850 ) / 850

= 1 / 850

= 1

So, Greatest Common Divisor of 900, 772, 977, 850 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 234, 751, 796, 295
• GCD of 374, 605, 997, 783
• GCD of 413, 555, 665, 577
• GCD of 734, 485, 793, 517
• GCD of 284, 890, 812, 354

Given numbers are 900, 772, 977, 850
The greatest common divisor of numbers 900, 772, 977, 850 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 772, 977, 850 is 1.

1. What is the GCD of 900, 772, 977, 850?

GCD of given numbers 900, 772, 977, 850 is 1

2. How to calculate the greatest common divisor of 900, 772, 977, 850?

We can find the highest common divisor of 900, 772, 977, 850 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 900, 772, 977, 850 i.e 1.

3. How can I use the GCD of 900, 772, 977, 850Calculator?

Out the numbers 900, 772, 977, 850 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.