GCD of 770, 856, 896, 108 Calculator

Given Input numbers are 770, 856, 896, 108

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

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 856 :

The positive integer divisors of 856 that completely divides 856 are.

1, 2, 4, 8, 107, 214, 428, 856

Divisors of 896 :

The positive integer divisors of 896 that completely divides 896 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

GCD of numbers is the greatest common divisor

So, the GCD (770, 856, 896, 108) = 2.

Given numbers are 770, 856, 896, 108

The list of prime factors of all numbers are

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

Prime factors of 856 are 2 x 2 x 2 x 107

Prime factors of 896 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

The highest common occurrence is 2¹

Therefore, GCD of 770, 856, 896, 108 is 2.

Given numbers are 770, 856, 896, 108

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

Apply this formula for all numbers.

Step1:

LCM(770, 856) = 329560

GCD(770, 856) = ( 770 x 856 ) / 329560

= 770 / 856

= 770

Step2:

LCM(2, 896) = 896

GCD(2, 896) = ( 2 x 896 ) / 896

= 2 / 896

= 2

Step3:

LCM(2, 108) = 108

GCD(2, 108) = ( 2 x 108 ) / 108

= 2 / 108

= 2

So, Greatest Common Divisor of 770, 856, 896, 108 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 176, 523, 814, 844
• GCD of 570, 889, 519, 531
• GCD of 940, 520, 432, 973
• GCD of 602, 771, 342, 740
• GCD of 135, 747, 872, 114

Given numbers are 770, 856, 896, 108
The greatest common divisor of numbers 770, 856, 896, 108 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 770, 856, 896, 108 is 2.

1. What is the GCD of 770, 856, 896, 108?

GCD of given numbers 770, 856, 896, 108 is 2

2. How to calculate the greatest common divisor of 770, 856, 896, 108?

We can find the highest common divisor of 770, 856, 896, 108 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 770, 856, 896, 108 i.e 2.

3. How can I use the GCD of 770, 856, 896, 108Calculator?

Out the numbers 770, 856, 896, 108 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.