GCD of 560, 549, 745, 142 Calculator

Given Input numbers are 560, 549, 745, 142

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 549 :

The positive integer divisors of 549 that completely divides 549 are.

1, 3, 9, 61, 183, 549

Divisors of 745 :

The positive integer divisors of 745 that completely divides 745 are.

1, 5, 149, 745

Divisors of 142 :

The positive integer divisors of 142 that completely divides 142 are.

1, 2, 71, 142

GCD of numbers is the greatest common divisor

So, the GCD (560, 549, 745, 142) = 1.

Given numbers are 560, 549, 745, 142

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 549 are 3 x 3 x 61

Prime factors of 745 are 5 x 149

Prime factors of 142 are 2 x 71

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

Given numbers are 560, 549, 745, 142

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

Apply this formula for all numbers.

Step1:

LCM(560, 549) = 307440

GCD(560, 549) = ( 560 x 549 ) / 307440

= 560 / 549

= 560

Step2:

LCM(1, 745) = 745

GCD(1, 745) = ( 1 x 745 ) / 745

= 1 / 745

= 1

Step3:

LCM(1, 142) = 142

GCD(1, 142) = ( 1 x 142 ) / 142

= 1 / 142

= 1

So, Greatest Common Divisor of 560, 549, 745, 142 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 344, 347, 773, 839
• GCD of 360, 748, 565, 597
• GCD of 993, 638, 846, 204
• GCD of 755, 209, 692, 223
• GCD of 132, 279, 933, 910

Given numbers are 560, 549, 745, 142
The greatest common divisor of numbers 560, 549, 745, 142 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 560, 549, 745, 142 is 1.

1. What is the GCD of 560, 549, 745, 142?

GCD of given numbers 560, 549, 745, 142 is 1

2. How to calculate the greatest common divisor of 560, 549, 745, 142?

We can find the highest common divisor of 560, 549, 745, 142 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, 549, 745, 142 i.e 1.

3. How can I use the GCD of 560, 549, 745, 142Calculator?

Out the numbers 560, 549, 745, 142 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.