GCD of 126, 560, 110, 567 Calculator

Given Input numbers are 126, 560, 110, 567

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

Divisors of 126 :

The positive integer divisors of 126 that completely divides 126 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

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 110 :

The positive integer divisors of 110 that completely divides 110 are.

1, 2, 5, 10, 11, 22, 55, 110

Divisors of 567 :

The positive integer divisors of 567 that completely divides 567 are.

1, 3, 7, 9, 21, 27, 63, 81, 189, 567

GCD of numbers is the greatest common divisor

So, the GCD (126, 560, 110, 567) = 1.

Given numbers are 126, 560, 110, 567

The list of prime factors of all numbers are

Prime factors of 126 are 2 x 3 x 3 x 7

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

Prime factors of 110 are 2 x 5 x 11

Prime factors of 567 are 3 x 3 x 3 x 3 x 7

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

Given numbers are 126, 560, 110, 567

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

Apply this formula for all numbers.

Step1:

LCM(126, 560) = 5040

GCD(126, 560) = ( 126 x 560 ) / 5040

= 126 / 560

= 126

Step2:

LCM(14, 110) = 770

GCD(14, 110) = ( 14 x 110 ) / 770

= 14 / 110

= 14

Step3:

LCM(2, 567) = 1134

GCD(2, 567) = ( 2 x 567 ) / 1134

= 2 / 567

= 2

So, Greatest Common Divisor of 126, 560, 110, 567 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 532, 149, 406, 298
• GCD of 951, 199, 298, 978
• GCD of 464, 527, 470, 108
• GCD of 832, 939, 369, 645
• GCD of 958, 782, 306, 711

Given numbers are 126, 560, 110, 567
The greatest common divisor of numbers 126, 560, 110, 567 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 126, 560, 110, 567 is 1.

1. What is the GCD of 126, 560, 110, 567?

GCD of given numbers 126, 560, 110, 567 is 1

2. How to calculate the greatest common divisor of 126, 560, 110, 567?

We can find the highest common divisor of 126, 560, 110, 567 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 126, 560, 110, 567 i.e 1.

3. How can I use the GCD of 126, 560, 110, 567Calculator?

Out the numbers 126, 560, 110, 567 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.