GCD of 470, 894, 700, 756 Calculator

Given Input numbers are 470, 894, 700, 756

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

Divisors of 470 :

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

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

Divisors of 894 :

The positive integer divisors of 894 that completely divides 894 are.

1, 2, 3, 6, 149, 298, 447, 894

Divisors of 700 :

The positive integer divisors of 700 that completely divides 700 are.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 756 :

The positive integer divisors of 756 that completely divides 756 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

GCD of numbers is the greatest common divisor

So, the GCD (470, 894, 700, 756) = 2.

Given numbers are 470, 894, 700, 756

The list of prime factors of all numbers are

Prime factors of 470 are 2 x 5 x 47

Prime factors of 894 are 2 x 3 x 149

Prime factors of 700 are 2 x 2 x 5 x 5 x 7

Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7

The highest common occurrence is 2¹

Therefore, GCD of 470, 894, 700, 756 is 2.

Given numbers are 470, 894, 700, 756

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

Apply this formula for all numbers.

Step1:

LCM(470, 894) = 210090

GCD(470, 894) = ( 470 x 894 ) / 210090

= 470 / 894

= 470

Step2:

LCM(2, 700) = 700

GCD(2, 700) = ( 2 x 700 ) / 700

= 2 / 700

= 2

Step3:

LCM(2, 756) = 756

GCD(2, 756) = ( 2 x 756 ) / 756

= 2 / 756

= 2

So, Greatest Common Divisor of 470, 894, 700, 756 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 659, 372, 640, 329
• GCD of 835, 795, 776, 655
• GCD of 702, 439, 443, 907
• GCD of 517, 108, 866, 741
• GCD of 612, 164, 154, 277

Given numbers are 470, 894, 700, 756
The greatest common divisor of numbers 470, 894, 700, 756 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 470, 894, 700, 756 is 2.

1. What is the GCD of 470, 894, 700, 756?

GCD of given numbers 470, 894, 700, 756 is 2

2. How to calculate the greatest common divisor of 470, 894, 700, 756?

We can find the highest common divisor of 470, 894, 700, 756 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 470, 894, 700, 756 i.e 2.

3. How can I use the GCD of 470, 894, 700, 756Calculator?

Out the numbers 470, 894, 700, 756 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.