GCD of 464, 870, 384, 772 Calculator

Given Input numbers are 464, 870, 384, 772

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

Divisors of 464 :

The positive integer divisors of 464 that completely divides 464 are.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

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 384 :

The positive integer divisors of 384 that completely divides 384 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 772 :

The positive integer divisors of 772 that completely divides 772 are.

1, 2, 4, 193, 386, 772

GCD of numbers is the greatest common divisor

So, the GCD (464, 870, 384, 772) = 2.

Given numbers are 464, 870, 384, 772

The list of prime factors of all numbers are

Prime factors of 464 are 2 x 2 x 2 x 2 x 29

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

Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 772 are 2 x 2 x 193

The highest common occurrence is 2¹

Therefore, GCD of 464, 870, 384, 772 is 2.

Given numbers are 464, 870, 384, 772

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

Apply this formula for all numbers.

Step1:

LCM(464, 870) = 6960

GCD(464, 870) = ( 464 x 870 ) / 6960

= 464 / 870

= 464

Step2:

LCM(58, 384) = 11136

GCD(58, 384) = ( 58 x 384 ) / 11136

= 58 / 384

= 58

Step3:

LCM(2, 772) = 772

GCD(2, 772) = ( 2 x 772 ) / 772

= 2 / 772

= 2

So, Greatest Common Divisor of 464, 870, 384, 772 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 724, 647, 996, 988
• GCD of 681, 174, 748, 816
• GCD of 131, 567, 266, 494
• GCD of 401, 502, 116, 408
• GCD of 128, 600, 408, 820

Given numbers are 464, 870, 384, 772
The greatest common divisor of numbers 464, 870, 384, 772 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 464, 870, 384, 772 is 2.

1. What is the GCD of 464, 870, 384, 772?

GCD of given numbers 464, 870, 384, 772 is 2

2. How to calculate the greatest common divisor of 464, 870, 384, 772?

We can find the highest common divisor of 464, 870, 384, 772 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 464, 870, 384, 772 i.e 2.

3. How can I use the GCD of 464, 870, 384, 772Calculator?

Out the numbers 464, 870, 384, 772 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.