GCD of 356, 400, 218, 650 Calculator

Given Input numbers are 356, 400, 218, 650

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

Divisors of 356 :

The positive integer divisors of 356 that completely divides 356 are.

1, 2, 4, 89, 178, 356

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

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

Divisors of 218 :

The positive integer divisors of 218 that completely divides 218 are.

1, 2, 109, 218

Divisors of 650 :

The positive integer divisors of 650 that completely divides 650 are.

1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

GCD of numbers is the greatest common divisor

So, the GCD (356, 400, 218, 650) = 2.

Given numbers are 356, 400, 218, 650

The list of prime factors of all numbers are

Prime factors of 356 are 2 x 2 x 89

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 218 are 2 x 109

Prime factors of 650 are 2 x 5 x 5 x 13

The highest common occurrence is 2¹

Therefore, GCD of 356, 400, 218, 650 is 2.

Given numbers are 356, 400, 218, 650

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

Apply this formula for all numbers.

Step1:

LCM(356, 400) = 35600

GCD(356, 400) = ( 356 x 400 ) / 35600

= 356 / 400

= 356

Step2:

LCM(4, 218) = 436

GCD(4, 218) = ( 4 x 218 ) / 436

= 4 / 218

= 4

Step3:

LCM(2, 650) = 650

GCD(2, 650) = ( 2 x 650 ) / 650

= 2 / 650

= 2

So, Greatest Common Divisor of 356, 400, 218, 650 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 550, 232, 100, 128
• GCD of 926, 272, 126, 414
• GCD of 818, 896, 395, 464
• GCD of 900, 836, 221, 441
• GCD of 695, 234, 259, 914

Given numbers are 356, 400, 218, 650
The greatest common divisor of numbers 356, 400, 218, 650 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 356, 400, 218, 650 is 2.

1. What is the GCD of 356, 400, 218, 650?

GCD of given numbers 356, 400, 218, 650 is 2

2. How to calculate the greatest common divisor of 356, 400, 218, 650?

We can find the highest common divisor of 356, 400, 218, 650 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 356, 400, 218, 650 i.e 2.

3. How can I use the GCD of 356, 400, 218, 650Calculator?

Out the numbers 356, 400, 218, 650 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.