GCD of 109, 759, 920, 536 Calculator

Given Input numbers are 109, 759, 920, 536

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

Divisors of 109 :

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

1, 109

Divisors of 759 :

The positive integer divisors of 759 that completely divides 759 are.

1, 3, 11, 23, 33, 69, 253, 759

Divisors of 920 :

The positive integer divisors of 920 that completely divides 920 are.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 536 :

The positive integer divisors of 536 that completely divides 536 are.

1, 2, 4, 8, 67, 134, 268, 536

GCD of numbers is the greatest common divisor

So, the GCD (109, 759, 920, 536) = 1.

Given numbers are 109, 759, 920, 536

The list of prime factors of all numbers are

Prime factors of 109 are 109

Prime factors of 759 are 3 x 11 x 23

Prime factors of 920 are 2 x 2 x 2 x 5 x 23

Prime factors of 536 are 2 x 2 x 2 x 67

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

Given numbers are 109, 759, 920, 536

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

Apply this formula for all numbers.

Step1:

LCM(109, 759) = 82731

GCD(109, 759) = ( 109 x 759 ) / 82731

= 109 / 759

= 109

Step2:

LCM(1, 920) = 920

GCD(1, 920) = ( 1 x 920 ) / 920

= 1 / 920

= 1

Step3:

LCM(1, 536) = 536

GCD(1, 536) = ( 1 x 536 ) / 536

= 1 / 536

= 1

So, Greatest Common Divisor of 109, 759, 920, 536 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 604, 101, 178, 387
• GCD of 379, 134, 184, 204
• GCD of 637, 101, 956, 874
• GCD of 940, 590, 999, 243
• GCD of 702, 240, 535, 746

Given numbers are 109, 759, 920, 536
The greatest common divisor of numbers 109, 759, 920, 536 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 109, 759, 920, 536 is 1.

1. What is the GCD of 109, 759, 920, 536?

GCD of given numbers 109, 759, 920, 536 is 1

2. How to calculate the greatest common divisor of 109, 759, 920, 536?

We can find the highest common divisor of 109, 759, 920, 536 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 109, 759, 920, 536 i.e 1.

3. How can I use the GCD of 109, 759, 920, 536Calculator?

Out the numbers 109, 759, 920, 536 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.