GCD of 560, 225, 761, 642 Calculator

Given Input numbers are 560, 225, 761, 642

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 225 :

The positive integer divisors of 225 that completely divides 225 are.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 761 :

The positive integer divisors of 761 that completely divides 761 are.

1, 761

Divisors of 642 :

The positive integer divisors of 642 that completely divides 642 are.

1, 2, 3, 6, 107, 214, 321, 642

GCD of numbers is the greatest common divisor

So, the GCD (560, 225, 761, 642) = 1.

Given numbers are 560, 225, 761, 642

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 225 are 3 x 3 x 5 x 5

Prime factors of 761 are 761

Prime factors of 642 are 2 x 3 x 107

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

Given numbers are 560, 225, 761, 642

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

Apply this formula for all numbers.

Step1:

LCM(560, 225) = 25200

GCD(560, 225) = ( 560 x 225 ) / 25200

= 560 / 225

= 560

Step2:

LCM(5, 761) = 3805

GCD(5, 761) = ( 5 x 761 ) / 3805

= 5 / 761

= 5

Step3:

LCM(1, 642) = 642

GCD(1, 642) = ( 1 x 642 ) / 642

= 1 / 642

= 1

So, Greatest Common Divisor of 560, 225, 761, 642 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 712, 649, 361, 823
• GCD of 650, 858, 637, 955
• GCD of 797, 453, 289, 581
• GCD of 525, 270, 604, 153
• GCD of 186, 439, 978, 787

Given numbers are 560, 225, 761, 642
The greatest common divisor of numbers 560, 225, 761, 642 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 560, 225, 761, 642 is 1.

1. What is the GCD of 560, 225, 761, 642?

GCD of given numbers 560, 225, 761, 642 is 1

2. How to calculate the greatest common divisor of 560, 225, 761, 642?

We can find the highest common divisor of 560, 225, 761, 642 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, 225, 761, 642 i.e 1.

3. How can I use the GCD of 560, 225, 761, 642Calculator?

Out the numbers 560, 225, 761, 642 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.