GCD of 776, 486, 960, 704 Calculator

Given Input numbers are 776, 486, 960, 704

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

Divisors of 776 :

The positive integer divisors of 776 that completely divides 776 are.

1, 2, 4, 8, 97, 194, 388, 776

Divisors of 486 :

The positive integer divisors of 486 that completely divides 486 are.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

Divisors of 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

GCD of numbers is the greatest common divisor

So, the GCD (776, 486, 960, 704) = 2.

Given numbers are 776, 486, 960, 704

The list of prime factors of all numbers are

Prime factors of 776 are 2 x 2 x 2 x 97

Prime factors of 486 are 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

The highest common occurrence is 2¹

Therefore, GCD of 776, 486, 960, 704 is 2.

Given numbers are 776, 486, 960, 704

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

Apply this formula for all numbers.

Step1:

LCM(776, 486) = 188568

GCD(776, 486) = ( 776 x 486 ) / 188568

= 776 / 486

= 776

Step2:

LCM(2, 960) = 960

GCD(2, 960) = ( 2 x 960 ) / 960

= 2 / 960

= 2

Step3:

LCM(2, 704) = 704

GCD(2, 704) = ( 2 x 704 ) / 704

= 2 / 704

= 2

So, Greatest Common Divisor of 776, 486, 960, 704 is 2

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Given numbers are 776, 486, 960, 704
The greatest common divisor of numbers 776, 486, 960, 704 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 776, 486, 960, 704 is 2.

1. What is the GCD of 776, 486, 960, 704?

GCD of given numbers 776, 486, 960, 704 is 2

2. How to calculate the greatest common divisor of 776, 486, 960, 704?

We can find the highest common divisor of 776, 486, 960, 704 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 776, 486, 960, 704 i.e 2.

3. How can I use the GCD of 776, 486, 960, 704Calculator?

Out the numbers 776, 486, 960, 704 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.