GCD of 824, 200, 470, 968 Calculator

Given Input numbers are 824, 200, 470, 968

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

Divisors of 824 :

The positive integer divisors of 824 that completely divides 824 are.

1, 2, 4, 8, 103, 206, 412, 824

Divisors of 200 :

The positive integer divisors of 200 that completely divides 200 are.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 470 :

The positive integer divisors of 470 that completely divides 470 are.

1, 2, 5, 10, 47, 94, 235, 470

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

GCD of numbers is the greatest common divisor

So, the GCD (824, 200, 470, 968) = 2.

Given numbers are 824, 200, 470, 968

The list of prime factors of all numbers are

Prime factors of 824 are 2 x 2 x 2 x 103

Prime factors of 200 are 2 x 2 x 2 x 5 x 5

Prime factors of 470 are 2 x 5 x 47

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

The highest common occurrence is 2¹

Therefore, GCD of 824, 200, 470, 968 is 2.

Given numbers are 824, 200, 470, 968

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

Apply this formula for all numbers.

Step1:

LCM(824, 200) = 20600

GCD(824, 200) = ( 824 x 200 ) / 20600

= 824 / 200

= 824

Step2:

LCM(8, 470) = 1880

GCD(8, 470) = ( 8 x 470 ) / 1880

= 8 / 470

= 8

Step3:

LCM(2, 968) = 968

GCD(2, 968) = ( 2 x 968 ) / 968

= 2 / 968

= 2

So, Greatest Common Divisor of 824, 200, 470, 968 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 468, 120, 853, 282
• GCD of 934, 349, 267, 686
• GCD of 382, 969, 910, 349
• GCD of 322, 158, 976, 354
• GCD of 842, 352, 415, 188

Given numbers are 824, 200, 470, 968
The greatest common divisor of numbers 824, 200, 470, 968 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 824, 200, 470, 968 is 2.

1. What is the GCD of 824, 200, 470, 968?

GCD of given numbers 824, 200, 470, 968 is 2

2. How to calculate the greatest common divisor of 824, 200, 470, 968?

We can find the highest common divisor of 824, 200, 470, 968 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 824, 200, 470, 968 i.e 2.

3. How can I use the GCD of 824, 200, 470, 968Calculator?

Out the numbers 824, 200, 470, 968 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.