GCD of 488, 640, 772, 726 Calculator

Given Input numbers are 488, 640, 772, 726

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

Divisors of 488 :

The positive integer divisors of 488 that completely divides 488 are.

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

Divisors of 640 :

The positive integer divisors of 640 that completely divides 640 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640

Divisors of 772 :

The positive integer divisors of 772 that completely divides 772 are.

1, 2, 4, 193, 386, 772

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

GCD of numbers is the greatest common divisor

So, the GCD (488, 640, 772, 726) = 2.

Given numbers are 488, 640, 772, 726

The list of prime factors of all numbers are

Prime factors of 488 are 2 x 2 x 2 x 61

Prime factors of 640 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 772 are 2 x 2 x 193

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

The highest common occurrence is 2¹

Therefore, GCD of 488, 640, 772, 726 is 2.

Given numbers are 488, 640, 772, 726

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

Apply this formula for all numbers.

Step1:

LCM(488, 640) = 39040

GCD(488, 640) = ( 488 x 640 ) / 39040

= 488 / 640

= 488

Step2:

LCM(8, 772) = 1544

GCD(8, 772) = ( 8 x 772 ) / 1544

= 8 / 772

= 8

Step3:

LCM(4, 726) = 1452

GCD(4, 726) = ( 4 x 726 ) / 1452

= 4 / 726

= 4

So, Greatest Common Divisor of 488, 640, 772, 726 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 896, 932, 321, 554
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Given numbers are 488, 640, 772, 726
The greatest common divisor of numbers 488, 640, 772, 726 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 488, 640, 772, 726 is 2.

1. What is the GCD of 488, 640, 772, 726?

GCD of given numbers 488, 640, 772, 726 is 2

2. How to calculate the greatest common divisor of 488, 640, 772, 726?

We can find the highest common divisor of 488, 640, 772, 726 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 488, 640, 772, 726 i.e 2.

3. How can I use the GCD of 488, 640, 772, 726Calculator?

Out the numbers 488, 640, 772, 726 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.