GCD of 516, 869, 429, 109 Calculator

Given Input numbers are 516, 869, 429, 109

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

Divisors of 516 :

The positive integer divisors of 516 that completely divides 516 are.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Divisors of 869 :

The positive integer divisors of 869 that completely divides 869 are.

1, 11, 79, 869

Divisors of 429 :

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

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

Divisors of 109 :

The positive integer divisors of 109 that completely divides 109 are.

1, 109

GCD of numbers is the greatest common divisor

So, the GCD (516, 869, 429, 109) = 1.

Given numbers are 516, 869, 429, 109

The list of prime factors of all numbers are

Prime factors of 516 are 2 x 2 x 3 x 43

Prime factors of 869 are 11 x 79

Prime factors of 429 are 3 x 11 x 13

Prime factors of 109 are 109

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

Given numbers are 516, 869, 429, 109

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

Apply this formula for all numbers.

Step1:

LCM(516, 869) = 448404

GCD(516, 869) = ( 516 x 869 ) / 448404

= 516 / 869

= 516

Step2:

LCM(1, 429) = 429

GCD(1, 429) = ( 1 x 429 ) / 429

= 1 / 429

= 1

Step3:

LCM(1, 109) = 109

GCD(1, 109) = ( 1 x 109 ) / 109

= 1 / 109

= 1

So, Greatest Common Divisor of 516, 869, 429, 109 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 714, 713, 688, 150
• GCD of 655, 139, 434, 123
• GCD of 260, 866, 686, 585
• GCD of 367, 751, 558, 538
• GCD of 871, 734, 256, 513

Given numbers are 516, 869, 429, 109
The greatest common divisor of numbers 516, 869, 429, 109 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 516, 869, 429, 109 is 1.

1. What is the GCD of 516, 869, 429, 109?

GCD of given numbers 516, 869, 429, 109 is 1

2. How to calculate the greatest common divisor of 516, 869, 429, 109?

We can find the highest common divisor of 516, 869, 429, 109 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 516, 869, 429, 109 i.e 1.

3. How can I use the GCD of 516, 869, 429, 109Calculator?

Out the numbers 516, 869, 429, 109 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.