GCD of 960, 480, 210, 785 Calculator

Given Input numbers are 960, 480, 210, 785

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

Divisors of 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 480 :

The positive integer divisors of 480 that completely divides 480 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 210 :

The positive integer divisors of 210 that completely divides 210 are.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Divisors of 785 :

The positive integer divisors of 785 that completely divides 785 are.

1, 5, 157, 785

GCD of numbers is the greatest common divisor

So, the GCD (960, 480, 210, 785) = 5.

Given numbers are 960, 480, 210, 785

The list of prime factors of all numbers are

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 210 are 2 x 3 x 5 x 7

Prime factors of 785 are 5 x 157

The highest common occurrence is 5¹

Therefore, GCD of 960, 480, 210, 785 is 5.

Given numbers are 960, 480, 210, 785

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

Apply this formula for all numbers.

Step1:

LCM(960, 480) = 960

GCD(960, 480) = ( 960 x 480 ) / 960

= 960 / 480

= 960

Step2:

LCM(480, 210) = 3360

GCD(480, 210) = ( 480 x 210 ) / 3360

= 480 / 210

= 480

Step3:

LCM(30, 785) = 4710

GCD(30, 785) = ( 30 x 785 ) / 4710

= 30 / 785

= 30

So, Greatest Common Divisor of 960, 480, 210, 785 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 366, 263, 700, 213
• GCD of 818, 949, 942, 317
• GCD of 800, 945, 116, 725
• GCD of 675, 815, 766, 231
• GCD of 979, 134, 340, 102

Given numbers are 960, 480, 210, 785
The greatest common divisor of numbers 960, 480, 210, 785 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 960, 480, 210, 785 is 5.

1. What is the GCD of 960, 480, 210, 785?

GCD of given numbers 960, 480, 210, 785 is 5

2. How to calculate the greatest common divisor of 960, 480, 210, 785?

We can find the highest common divisor of 960, 480, 210, 785 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 960, 480, 210, 785 i.e 5.

3. How can I use the GCD of 960, 480, 210, 785Calculator?

Out the numbers 960, 480, 210, 785 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.