GCD of 960, 780, 160 Calculator

Given Input numbers are 960, 780, 160

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 780 :

The positive integer divisors of 780 that completely divides 780 are.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 160 :

The positive integer divisors of 160 that completely divides 160 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

GCD of numbers is the greatest common divisor

So, the GCD (960, 780, 160) = 20.

Given numbers are 960, 780, 160

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 780 are 2 x 2 x 3 x 5 x 13

Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5

The highest common occurrence is 2² x 5¹

Therefore, GCD of 960, 780, 160 is 20.

Given numbers are 960, 780, 160

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

Apply this formula for all numbers.

Step1:

LCM(960, 780) = 12480

GCD(960, 780) = ( 960 x 780 ) / 12480

= 960 / 780

= 960

Step2:

LCM(60, 160) = 480

GCD(60, 160) = ( 60 x 160 ) / 480

= 60 / 160

= 60

So, Greatest Common Divisor of 960, 780, 160 is 20

Here are some samples of GCD of Numbers calculations.

• GCD of 233, 816, 794
• GCD of 361, 202, 925
• GCD of 494, 503, 814
• GCD of 264, 392, 647
• GCD of 379, 408, 542

Given numbers are 960, 780, 160
The greatest common divisor of numbers 960, 780, 160 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 960, 780, 160 is 20.

1. What is the GCD of 960, 780, 160?

GCD of given numbers 960, 780, 160 is 20

2. How to calculate the greatest common divisor of 960, 780, 160?

We can find the highest common divisor of 960, 780, 160 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, 780, 160 i.e 20.

3. How can I use the GCD of 960, 780, 160Calculator?

Out the numbers 960, 780, 160 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.