GCD of 814, 424, 766, 972 Calculator

Given Input numbers are 814, 424, 766, 972

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

Divisors of 814 :

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

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

Divisors of 424 :

The positive integer divisors of 424 that completely divides 424 are.

1, 2, 4, 8, 53, 106, 212, 424

Divisors of 766 :

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

1, 2, 383, 766

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

GCD of numbers is the greatest common divisor

So, the GCD (814, 424, 766, 972) = 2.

Given numbers are 814, 424, 766, 972

The list of prime factors of all numbers are

Prime factors of 814 are 2 x 11 x 37

Prime factors of 424 are 2 x 2 x 2 x 53

Prime factors of 766 are 2 x 383

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

The highest common occurrence is 2¹

Therefore, GCD of 814, 424, 766, 972 is 2.

Given numbers are 814, 424, 766, 972

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

Apply this formula for all numbers.

Step1:

LCM(814, 424) = 172568

GCD(814, 424) = ( 814 x 424 ) / 172568

= 814 / 424

= 814

Step2:

LCM(2, 766) = 766

GCD(2, 766) = ( 2 x 766 ) / 766

= 2 / 766

= 2

Step3:

LCM(2, 972) = 972

GCD(2, 972) = ( 2 x 972 ) / 972

= 2 / 972

= 2

So, Greatest Common Divisor of 814, 424, 766, 972 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 210, 815, 601, 428
• GCD of 527, 904, 401, 726
• GCD of 254, 199, 903, 934
• GCD of 259, 958, 720, 388
• GCD of 696, 692, 859, 978

Given numbers are 814, 424, 766, 972
The greatest common divisor of numbers 814, 424, 766, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 814, 424, 766, 972 is 2.

1. What is the GCD of 814, 424, 766, 972?

GCD of given numbers 814, 424, 766, 972 is 2

2. How to calculate the greatest common divisor of 814, 424, 766, 972?

We can find the highest common divisor of 814, 424, 766, 972 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 814, 424, 766, 972 i.e 2.

3. How can I use the GCD of 814, 424, 766, 972Calculator?

Out the numbers 814, 424, 766, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.