GCD of 561, 456, 429, 763 Calculator

Given Input numbers are 561, 456, 429, 763

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

Divisors of 561 :

The positive integer divisors of 561 that completely divides 561 are.

1, 3, 11, 17, 33, 51, 187, 561

Divisors of 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 429 :

The positive integer divisors of 429 that completely divides 429 are.

1, 3, 11, 13, 33, 39, 143, 429

Divisors of 763 :

The positive integer divisors of 763 that completely divides 763 are.

1, 7, 109, 763

GCD of numbers is the greatest common divisor

So, the GCD (561, 456, 429, 763) = 1.

Given numbers are 561, 456, 429, 763

The list of prime factors of all numbers are

Prime factors of 561 are 3 x 11 x 17

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

Prime factors of 429 are 3 x 11 x 13

Prime factors of 763 are 7 x 109

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

Given numbers are 561, 456, 429, 763

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

Apply this formula for all numbers.

Step1:

LCM(561, 456) = 85272

GCD(561, 456) = ( 561 x 456 ) / 85272

= 561 / 456

= 561

Step2:

LCM(3, 429) = 429

GCD(3, 429) = ( 3 x 429 ) / 429

= 3 / 429

= 3

Step3:

LCM(3, 763) = 2289

GCD(3, 763) = ( 3 x 763 ) / 2289

= 3 / 763

= 3

So, Greatest Common Divisor of 561, 456, 429, 763 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 145, 618, 553, 748
• GCD of 912, 213, 956, 892
• GCD of 823, 940, 831, 215
• GCD of 499, 561, 898, 586
• GCD of 831, 742, 665, 834

Given numbers are 561, 456, 429, 763
The greatest common divisor of numbers 561, 456, 429, 763 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 561, 456, 429, 763 is 1.

1. What is the GCD of 561, 456, 429, 763?

GCD of given numbers 561, 456, 429, 763 is 1

2. How to calculate the greatest common divisor of 561, 456, 429, 763?

We can find the highest common divisor of 561, 456, 429, 763 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 561, 456, 429, 763 i.e 1.

3. How can I use the GCD of 561, 456, 429, 763Calculator?

Out the numbers 561, 456, 429, 763 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.