GCD of 106, 770, 966, 920 Calculator

Given Input numbers are 106, 770, 966, 920

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

Divisors of 106 :

The positive integer divisors of 106 that completely divides 106 are.

1, 2, 53, 106

Divisors of 770 :

The positive integer divisors of 770 that completely divides 770 are.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

Divisors of 966 :

The positive integer divisors of 966 that completely divides 966 are.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

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

GCD of numbers is the greatest common divisor

So, the GCD (106, 770, 966, 920) = 2.

Given numbers are 106, 770, 966, 920

The list of prime factors of all numbers are

Prime factors of 106 are 2 x 53

Prime factors of 770 are 2 x 5 x 7 x 11

Prime factors of 966 are 2 x 3 x 7 x 23

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

The highest common occurrence is 2¹

Therefore, GCD of 106, 770, 966, 920 is 2.

Given numbers are 106, 770, 966, 920

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

Apply this formula for all numbers.

Step1:

LCM(106, 770) = 40810

GCD(106, 770) = ( 106 x 770 ) / 40810

= 106 / 770

= 106

Step2:

LCM(2, 966) = 966

GCD(2, 966) = ( 2 x 966 ) / 966

= 2 / 966

= 2

Step3:

LCM(2, 920) = 920

GCD(2, 920) = ( 2 x 920 ) / 920

= 2 / 920

= 2

So, Greatest Common Divisor of 106, 770, 966, 920 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 905, 596, 154, 149
• GCD of 649, 246, 174, 700
• GCD of 686, 324, 953, 516
• GCD of 996, 931, 480, 845
• GCD of 893, 736, 518, 773

Given numbers are 106, 770, 966, 920
The greatest common divisor of numbers 106, 770, 966, 920 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 106, 770, 966, 920 is 2.

1. What is the GCD of 106, 770, 966, 920?

GCD of given numbers 106, 770, 966, 920 is 2

2. How to calculate the greatest common divisor of 106, 770, 966, 920?

We can find the highest common divisor of 106, 770, 966, 920 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 106, 770, 966, 920 i.e 2.

3. How can I use the GCD of 106, 770, 966, 920Calculator?

Out the numbers 106, 770, 966, 920 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.