GCD of 920, 116, 469, 109 Calculator

Given Input numbers are 920, 116, 469, 109

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

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 116 :

The positive integer divisors of 116 that completely divides 116 are.

1, 2, 4, 29, 58, 116

Divisors of 469 :

The positive integer divisors of 469 that completely divides 469 are.

1, 7, 67, 469

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 (920, 116, 469, 109) = 1.

Given numbers are 920, 116, 469, 109

The list of prime factors of all numbers are

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

Prime factors of 116 are 2 x 2 x 29

Prime factors of 469 are 7 x 67

Prime factors of 109 are 109

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

Given numbers are 920, 116, 469, 109

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

Apply this formula for all numbers.

Step1:

LCM(920, 116) = 26680

GCD(920, 116) = ( 920 x 116 ) / 26680

= 920 / 116

= 920

Step2:

LCM(4, 469) = 1876

GCD(4, 469) = ( 4 x 469 ) / 1876

= 4 / 469

= 4

Step3:

LCM(1, 109) = 109

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

= 1 / 109

= 1

So, Greatest Common Divisor of 920, 116, 469, 109 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 183, 493, 392, 694
• GCD of 418, 438, 265, 129
• GCD of 810, 357, 221, 568
• GCD of 521, 752, 715, 820
• GCD of 208, 975, 165, 160

Given numbers are 920, 116, 469, 109
The greatest common divisor of numbers 920, 116, 469, 109 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 920, 116, 469, 109 is 1.

1. What is the GCD of 920, 116, 469, 109?

GCD of given numbers 920, 116, 469, 109 is 1

2. How to calculate the greatest common divisor of 920, 116, 469, 109?

We can find the highest common divisor of 920, 116, 469, 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 920, 116, 469, 109 i.e 1.

3. How can I use the GCD of 920, 116, 469, 109Calculator?

Out the numbers 920, 116, 469, 109 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.