GCD of 322, 968, 154, 800 Calculator

Given Input numbers are 322, 968, 154, 800

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

Divisors of 322 :

The positive integer divisors of 322 that completely divides 322 are.

1, 2, 7, 14, 23, 46, 161, 322

Divisors of 968 :

The positive integer divisors of 968 that completely divides 968 are.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

Divisors of 154 :

The positive integer divisors of 154 that completely divides 154 are.

1, 2, 7, 11, 14, 22, 77, 154

Divisors of 800 :

The positive integer divisors of 800 that completely divides 800 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

GCD of numbers is the greatest common divisor

So, the GCD (322, 968, 154, 800) = 2.

Given numbers are 322, 968, 154, 800

The list of prime factors of all numbers are

Prime factors of 322 are 2 x 7 x 23

Prime factors of 968 are 2 x 2 x 2 x 11 x 11

Prime factors of 154 are 2 x 7 x 11

Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5

The highest common occurrence is 2¹

Therefore, GCD of 322, 968, 154, 800 is 2.

Given numbers are 322, 968, 154, 800

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

Apply this formula for all numbers.

Step1:

LCM(322, 968) = 155848

GCD(322, 968) = ( 322 x 968 ) / 155848

= 322 / 968

= 322

Step2:

LCM(2, 154) = 154

GCD(2, 154) = ( 2 x 154 ) / 154

= 2 / 154

= 2

Step3:

LCM(2, 800) = 800

GCD(2, 800) = ( 2 x 800 ) / 800

= 2 / 800

= 2

So, Greatest Common Divisor of 322, 968, 154, 800 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 101, 377, 199, 225
• GCD of 806, 149, 152, 937
• GCD of 931, 283, 629, 282
• GCD of 465, 892, 352, 160
• GCD of 976, 889, 928, 982

Given numbers are 322, 968, 154, 800
The greatest common divisor of numbers 322, 968, 154, 800 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 322, 968, 154, 800 is 2.

1. What is the GCD of 322, 968, 154, 800?

GCD of given numbers 322, 968, 154, 800 is 2

2. How to calculate the greatest common divisor of 322, 968, 154, 800?

We can find the highest common divisor of 322, 968, 154, 800 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 322, 968, 154, 800 i.e 2.

3. How can I use the GCD of 322, 968, 154, 800Calculator?

Out the numbers 322, 968, 154, 800 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.