GCD of 766, 916, 358, 690 Calculator

Given Input numbers are 766, 916, 358, 690

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

Divisors of 766 :

The positive integer divisors of 766 that completely divides 766 are.

1, 2, 383, 766

Divisors of 916 :

The positive integer divisors of 916 that completely divides 916 are.

1, 2, 4, 229, 458, 916

Divisors of 358 :

The positive integer divisors of 358 that completely divides 358 are.

1, 2, 179, 358

Divisors of 690 :

The positive integer divisors of 690 that completely divides 690 are.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

GCD of numbers is the greatest common divisor

So, the GCD (766, 916, 358, 690) = 2.

Given numbers are 766, 916, 358, 690

The list of prime factors of all numbers are

Prime factors of 766 are 2 x 383

Prime factors of 916 are 2 x 2 x 229

Prime factors of 358 are 2 x 179

Prime factors of 690 are 2 x 3 x 5 x 23

The highest common occurrence is 2¹

Therefore, GCD of 766, 916, 358, 690 is 2.

Given numbers are 766, 916, 358, 690

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

Apply this formula for all numbers.

Step1:

LCM(766, 916) = 350828

GCD(766, 916) = ( 766 x 916 ) / 350828

= 766 / 916

= 766

Step2:

LCM(2, 358) = 358

GCD(2, 358) = ( 2 x 358 ) / 358

= 2 / 358

= 2

Step3:

LCM(2, 690) = 690

GCD(2, 690) = ( 2 x 690 ) / 690

= 2 / 690

= 2

So, Greatest Common Divisor of 766, 916, 358, 690 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 644, 189, 738, 904
• GCD of 813, 715, 288, 272
• GCD of 560, 621, 318, 678
• GCD of 600, 776, 808, 730
• GCD of 246, 332, 975, 600

Given numbers are 766, 916, 358, 690
The greatest common divisor of numbers 766, 916, 358, 690 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 766, 916, 358, 690 is 2.

1. What is the GCD of 766, 916, 358, 690?

GCD of given numbers 766, 916, 358, 690 is 2

2. How to calculate the greatest common divisor of 766, 916, 358, 690?

We can find the highest common divisor of 766, 916, 358, 690 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 766, 916, 358, 690 i.e 2.

3. How can I use the GCD of 766, 916, 358, 690Calculator?

Out the numbers 766, 916, 358, 690 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.