GCD of 560, 385, 966, 728 Calculator

Given Input numbers are 560, 385, 966, 728

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

Divisors of 560 :

The positive integer divisors of 560 that completely divides 560 are.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Divisors of 385 :

The positive integer divisors of 385 that completely divides 385 are.

1, 5, 7, 11, 35, 55, 77, 385

Divisors of 966 :

The positive integer divisors of 966 that completely divides 966 are.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

GCD of numbers is the greatest common divisor

So, the GCD (560, 385, 966, 728) = 7.

Given numbers are 560, 385, 966, 728

The list of prime factors of all numbers are

Prime factors of 560 are 2 x 2 x 2 x 2 x 5 x 7

Prime factors of 385 are 5 x 7 x 11

Prime factors of 966 are 2 x 3 x 7 x 23

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

The highest common occurrence is 7¹

Therefore, GCD of 560, 385, 966, 728 is 7.

Given numbers are 560, 385, 966, 728

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

Apply this formula for all numbers.

Step1:

LCM(560, 385) = 6160

GCD(560, 385) = ( 560 x 385 ) / 6160

= 560 / 385

= 560

Step2:

LCM(35, 966) = 4830

GCD(35, 966) = ( 35 x 966 ) / 4830

= 35 / 966

= 35

Step3:

LCM(7, 728) = 728

GCD(7, 728) = ( 7 x 728 ) / 728

= 7 / 728

= 7

So, Greatest Common Divisor of 560, 385, 966, 728 is 7

Here are some samples of GCD of Numbers calculations.

• GCD of 969, 173, 911, 142
• GCD of 932, 450, 628, 426
• GCD of 160, 370, 524, 985
• GCD of 825, 301, 246, 477
• GCD of 312, 606, 599, 745

Given numbers are 560, 385, 966, 728
The greatest common divisor of numbers 560, 385, 966, 728 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 560, 385, 966, 728 is 7.

1. What is the GCD of 560, 385, 966, 728?

GCD of given numbers 560, 385, 966, 728 is 7

2. How to calculate the greatest common divisor of 560, 385, 966, 728?

We can find the highest common divisor of 560, 385, 966, 728 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 560, 385, 966, 728 i.e 7.

3. How can I use the GCD of 560, 385, 966, 728Calculator?

Out the numbers 560, 385, 966, 728 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.