GCD of 766, 726, 404, 472 Calculator

Given Input numbers are 766, 726, 404, 472

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 726 :

The positive integer divisors of 726 that completely divides 726 are.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Divisors of 404 :

The positive integer divisors of 404 that completely divides 404 are.

1, 2, 4, 101, 202, 404

Divisors of 472 :

The positive integer divisors of 472 that completely divides 472 are.

1, 2, 4, 8, 59, 118, 236, 472

GCD of numbers is the greatest common divisor

So, the GCD (766, 726, 404, 472) = 2.

Given numbers are 766, 726, 404, 472

The list of prime factors of all numbers are

Prime factors of 766 are 2 x 383

Prime factors of 726 are 2 x 3 x 11 x 11

Prime factors of 404 are 2 x 2 x 101

Prime factors of 472 are 2 x 2 x 2 x 59

The highest common occurrence is 2¹

Therefore, GCD of 766, 726, 404, 472 is 2.

Given numbers are 766, 726, 404, 472

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

Apply this formula for all numbers.

Step1:

LCM(766, 726) = 278058

GCD(766, 726) = ( 766 x 726 ) / 278058

= 766 / 726

= 766

Step2:

LCM(2, 404) = 404

GCD(2, 404) = ( 2 x 404 ) / 404

= 2 / 404

= 2

Step3:

LCM(2, 472) = 472

GCD(2, 472) = ( 2 x 472 ) / 472

= 2 / 472

= 2

So, Greatest Common Divisor of 766, 726, 404, 472 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 497, 559, 950, 615
• GCD of 562, 204, 297, 995
• GCD of 735, 256, 541, 582
• GCD of 150, 117, 930, 698
• GCD of 136, 912, 991, 682

Given numbers are 766, 726, 404, 472
The greatest common divisor of numbers 766, 726, 404, 472 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 766, 726, 404, 472 is 2.

1. What is the GCD of 766, 726, 404, 472?

GCD of given numbers 766, 726, 404, 472 is 2

2. How to calculate the greatest common divisor of 766, 726, 404, 472?

We can find the highest common divisor of 766, 726, 404, 472 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, 726, 404, 472 i.e 2.

3. How can I use the GCD of 766, 726, 404, 472Calculator?

Out the numbers 766, 726, 404, 472 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.