GCD of 378, 564, 656, 450 Calculator

Given Input numbers are 378, 564, 656, 450

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

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 656 :

The positive integer divisors of 656 that completely divides 656 are.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Divisors of 450 :

The positive integer divisors of 450 that completely divides 450 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

GCD of numbers is the greatest common divisor

So, the GCD (378, 564, 656, 450) = 2.

Given numbers are 378, 564, 656, 450

The list of prime factors of all numbers are

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

Prime factors of 564 are 2 x 2 x 3 x 47

Prime factors of 656 are 2 x 2 x 2 x 2 x 41

Prime factors of 450 are 2 x 3 x 3 x 5 x 5

The highest common occurrence is 2¹

Therefore, GCD of 378, 564, 656, 450 is 2.

Given numbers are 378, 564, 656, 450

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

Apply this formula for all numbers.

Step1:

LCM(378, 564) = 35532

GCD(378, 564) = ( 378 x 564 ) / 35532

= 378 / 564

= 378

Step2:

LCM(6, 656) = 1968

GCD(6, 656) = ( 6 x 656 ) / 1968

= 6 / 656

= 6

Step3:

LCM(2, 450) = 450

GCD(2, 450) = ( 2 x 450 ) / 450

= 2 / 450

= 2

So, Greatest Common Divisor of 378, 564, 656, 450 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 657, 812, 731, 402
• GCD of 550, 102, 277, 857
• GCD of 492, 584, 732, 841
• GCD of 711, 868, 513, 333
• GCD of 553, 118, 532, 670

Given numbers are 378, 564, 656, 450
The greatest common divisor of numbers 378, 564, 656, 450 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 378, 564, 656, 450 is 2.

1. What is the GCD of 378, 564, 656, 450?

GCD of given numbers 378, 564, 656, 450 is 2

2. How to calculate the greatest common divisor of 378, 564, 656, 450?

We can find the highest common divisor of 378, 564, 656, 450 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 378, 564, 656, 450 i.e 2.

3. How can I use the GCD of 378, 564, 656, 450Calculator?

Out the numbers 378, 564, 656, 450 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.