GCD of 560, 420, 97, 968 Calculator

Given Input numbers are 560, 420, 97, 968

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 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 97 :

The positive integer divisors of 97 that completely divides 97 are.

1, 97

Divisors of 968 :

The positive integer divisors of 968 that completely divides 968 are.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

GCD of numbers is the greatest common divisor

So, the GCD (560, 420, 97, 968) = 1.

Given numbers are 560, 420, 97, 968

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 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 97 are 97

Prime factors of 968 are 2 x 2 x 2 x 11 x 11

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

Given numbers are 560, 420, 97, 968

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

Apply this formula for all numbers.

Step1:

LCM(560, 420) = 1680

GCD(560, 420) = ( 560 x 420 ) / 1680

= 560 / 420

= 560

Step2:

LCM(140, 97) = 13580

GCD(140, 97) = ( 140 x 97 ) / 13580

= 140 / 97

= 140

Step3:

LCM(1, 968) = 968

GCD(1, 968) = ( 1 x 968 ) / 968

= 1 / 968

= 1

So, Greatest Common Divisor of 560, 420, 97, 968 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 115, 773, 42, 148
• GCD of 589, 364, 50, 556
• GCD of 741, 787, 87, 705
• GCD of 180, 110, 86, 393
• GCD of 388, 484, 41, 570

Given numbers are 560, 420, 97, 968
The greatest common divisor of numbers 560, 420, 97, 968 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 560, 420, 97, 968 is 1.

1. What is the GCD of 560, 420, 97, 968?

GCD of given numbers 560, 420, 97, 968 is 1

2. How to calculate the greatest common divisor of 560, 420, 97, 968?

We can find the highest common divisor of 560, 420, 97, 968 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, 420, 97, 968 i.e 1.

3. How can I use the GCD of 560, 420, 97, 968Calculator?

Out the numbers 560, 420, 97, 968 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.