GCD of 560, 148, 960, 961 Calculator

Given Input numbers are 560, 148, 960, 961

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 148 :

The positive integer divisors of 148 that completely divides 148 are.

1, 2, 4, 37, 74, 148

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 961 :

The positive integer divisors of 961 that completely divides 961 are.

1, 31, 961

GCD of numbers is the greatest common divisor

So, the GCD (560, 148, 960, 961) = 1.

Given numbers are 560, 148, 960, 961

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 148 are 2 x 2 x 37

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

Prime factors of 961 are 31 x 31

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 560, 148, 960, 961

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

Apply this formula for all numbers.

Step1:

LCM(560, 148) = 20720

GCD(560, 148) = ( 560 x 148 ) / 20720

= 560 / 148

= 560

Step2:

LCM(4, 960) = 960

GCD(4, 960) = ( 4 x 960 ) / 960

= 4 / 960

= 4

Step3:

LCM(4, 961) = 3844

GCD(4, 961) = ( 4 x 961 ) / 3844

= 4 / 961

= 4

So, Greatest Common Divisor of 560, 148, 960, 961 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 341, 367, 503, 900
• GCD of 358, 712, 259, 691
• GCD of 235, 330, 512, 245
• GCD of 548, 980, 445, 390
• GCD of 319, 451, 639, 382

Given numbers are 560, 148, 960, 961
The greatest common divisor of numbers 560, 148, 960, 961 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 560, 148, 960, 961 is 1.

1. What is the GCD of 560, 148, 960, 961?

GCD of given numbers 560, 148, 960, 961 is 1

2. How to calculate the greatest common divisor of 560, 148, 960, 961?

We can find the highest common divisor of 560, 148, 960, 961 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, 148, 960, 961 i.e 1.

3. How can I use the GCD of 560, 148, 960, 961Calculator?

Out the numbers 560, 148, 960, 961 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.