GCD of 976, 814, 266, 736 Calculator

Given Input numbers are 976, 814, 266, 736

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

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 814 :

The positive integer divisors of 814 that completely divides 814 are.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 266 :

The positive integer divisors of 266 that completely divides 266 are.

1, 2, 7, 14, 19, 38, 133, 266

Divisors of 736 :

The positive integer divisors of 736 that completely divides 736 are.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

GCD of numbers is the greatest common divisor

So, the GCD (976, 814, 266, 736) = 2.

Given numbers are 976, 814, 266, 736

The list of prime factors of all numbers are

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

Prime factors of 814 are 2 x 11 x 37

Prime factors of 266 are 2 x 7 x 19

Prime factors of 736 are 2 x 2 x 2 x 2 x 2 x 23

The highest common occurrence is 2¹

Therefore, GCD of 976, 814, 266, 736 is 2.

Given numbers are 976, 814, 266, 736

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

Apply this formula for all numbers.

Step1:

LCM(976, 814) = 397232

GCD(976, 814) = ( 976 x 814 ) / 397232

= 976 / 814

= 976

Step2:

LCM(2, 266) = 266

GCD(2, 266) = ( 2 x 266 ) / 266

= 2 / 266

= 2

Step3:

LCM(2, 736) = 736

GCD(2, 736) = ( 2 x 736 ) / 736

= 2 / 736

= 2

So, Greatest Common Divisor of 976, 814, 266, 736 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 138, 802, 556, 205
• GCD of 102, 325, 699, 687
• GCD of 592, 767, 975, 509
• GCD of 321, 119, 850, 921
• GCD of 933, 778, 426, 443

Given numbers are 976, 814, 266, 736
The greatest common divisor of numbers 976, 814, 266, 736 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 976, 814, 266, 736 is 2.

1. What is the GCD of 976, 814, 266, 736?

GCD of given numbers 976, 814, 266, 736 is 2

2. How to calculate the greatest common divisor of 976, 814, 266, 736?

We can find the highest common divisor of 976, 814, 266, 736 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 976, 814, 266, 736 i.e 2.

3. How can I use the GCD of 976, 814, 266, 736Calculator?

Out the numbers 976, 814, 266, 736 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.