GCD of 774, 976, 716, 918 Calculator

Given Input numbers are 774, 976, 716, 918

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

Divisors of 774 :

The positive integer divisors of 774 that completely divides 774 are.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Divisors of 976 :

The positive integer divisors of 976 that completely divides 976 are.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Divisors of 716 :

The positive integer divisors of 716 that completely divides 716 are.

1, 2, 4, 179, 358, 716

Divisors of 918 :

The positive integer divisors of 918 that completely divides 918 are.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

GCD of numbers is the greatest common divisor

So, the GCD (774, 976, 716, 918) = 2.

Given numbers are 774, 976, 716, 918

The list of prime factors of all numbers are

Prime factors of 774 are 2 x 3 x 3 x 43

Prime factors of 976 are 2 x 2 x 2 x 2 x 61

Prime factors of 716 are 2 x 2 x 179

Prime factors of 918 are 2 x 3 x 3 x 3 x 17

The highest common occurrence is 2¹

Therefore, GCD of 774, 976, 716, 918 is 2.

Given numbers are 774, 976, 716, 918

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

Apply this formula for all numbers.

Step1:

LCM(774, 976) = 377712

GCD(774, 976) = ( 774 x 976 ) / 377712

= 774 / 976

= 774

Step2:

LCM(2, 716) = 716

GCD(2, 716) = ( 2 x 716 ) / 716

= 2 / 716

= 2

Step3:

LCM(2, 918) = 918

GCD(2, 918) = ( 2 x 918 ) / 918

= 2 / 918

= 2

So, Greatest Common Divisor of 774, 976, 716, 918 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 136, 340, 439, 512
• GCD of 533, 757, 733, 760
• GCD of 574, 970, 304, 502
• GCD of 643, 711, 973, 133
• GCD of 320, 415, 982, 822

Given numbers are 774, 976, 716, 918
The greatest common divisor of numbers 774, 976, 716, 918 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 774, 976, 716, 918 is 2.

1. What is the GCD of 774, 976, 716, 918?

GCD of given numbers 774, 976, 716, 918 is 2

2. How to calculate the greatest common divisor of 774, 976, 716, 918?

We can find the highest common divisor of 774, 976, 716, 918 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 774, 976, 716, 918 i.e 2.

3. How can I use the GCD of 774, 976, 716, 918Calculator?

Out the numbers 774, 976, 716, 918 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.