GCD of 468, 378, 870, 736 Calculator

Given Input numbers are 468, 378, 870, 736

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

Divisors of 468 :

The positive integer divisors of 468 that completely divides 468 are.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

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 870 :

The positive integer divisors of 870 that completely divides 870 are.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 736 :

The positive integer divisors of 736 that completely divides 736 are.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

GCD of numbers is the greatest common divisor

So, the GCD (468, 378, 870, 736) = 2.

Given numbers are 468, 378, 870, 736

The list of prime factors of all numbers are

Prime factors of 468 are 2 x 2 x 3 x 3 x 13

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

Prime factors of 870 are 2 x 3 x 5 x 29

Prime factors of 736 are 2 x 2 x 2 x 2 x 2 x 23

The highest common occurrence is 2¹

Therefore, GCD of 468, 378, 870, 736 is 2.

Given numbers are 468, 378, 870, 736

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

Apply this formula for all numbers.

Step1:

LCM(468, 378) = 9828

GCD(468, 378) = ( 468 x 378 ) / 9828

= 468 / 378

= 468

Step2:

LCM(18, 870) = 2610

GCD(18, 870) = ( 18 x 870 ) / 2610

= 18 / 870

= 18

Step3:

LCM(6, 736) = 2208

GCD(6, 736) = ( 6 x 736 ) / 2208

= 6 / 736

= 6

So, Greatest Common Divisor of 468, 378, 870, 736 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 333, 163, 823, 282
• GCD of 601, 288, 436, 494
• GCD of 917, 425, 596, 431
• GCD of 598, 768, 719, 684
• GCD of 678, 580, 654, 597

Given numbers are 468, 378, 870, 736
The greatest common divisor of numbers 468, 378, 870, 736 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 468, 378, 870, 736 is 2.

1. What is the GCD of 468, 378, 870, 736?

GCD of given numbers 468, 378, 870, 736 is 2

2. How to calculate the greatest common divisor of 468, 378, 870, 736?

We can find the highest common divisor of 468, 378, 870, 736 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 468, 378, 870, 736 i.e 2.

3. How can I use the GCD of 468, 378, 870, 736Calculator?

Out the numbers 468, 378, 870, 736 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.