GCD of 488, 726, 822, 762 Calculator

Given Input numbers are 488, 726, 822, 762

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 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 822 :

The positive integer divisors of 822 that completely divides 822 are.

1, 2, 3, 6, 137, 274, 411, 822

Divisors of 762 :

The positive integer divisors of 762 that completely divides 762 are.

1, 2, 3, 6, 127, 254, 381, 762

GCD of numbers is the greatest common divisor

So, the GCD (488, 726, 822, 762) = 2.

Given numbers are 488, 726, 822, 762

The list of prime factors of all numbers are

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

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

Prime factors of 822 are 2 x 3 x 137

Prime factors of 762 are 2 x 3 x 127

The highest common occurrence is 2¹

Therefore, GCD of 488, 726, 822, 762 is 2.

Given numbers are 488, 726, 822, 762

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

Apply this formula for all numbers.

Step1:

LCM(488, 726) = 177144

GCD(488, 726) = ( 488 x 726 ) / 177144

= 488 / 726

= 488

Step2:

LCM(2, 822) = 822

GCD(2, 822) = ( 2 x 822 ) / 822

= 2 / 822

= 2

Step3:

LCM(2, 762) = 762

GCD(2, 762) = ( 2 x 762 ) / 762

= 2 / 762

= 2

So, Greatest Common Divisor of 488, 726, 822, 762 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 163, 612, 844, 973
• GCD of 428, 324, 482, 572
• GCD of 729, 948, 385, 585
• GCD of 525, 186, 805, 799
• GCD of 401, 110, 639, 658

Given numbers are 488, 726, 822, 762
The greatest common divisor of numbers 488, 726, 822, 762 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 488, 726, 822, 762 is 2.

1. What is the GCD of 488, 726, 822, 762?

GCD of given numbers 488, 726, 822, 762 is 2

2. How to calculate the greatest common divisor of 488, 726, 822, 762?

We can find the highest common divisor of 488, 726, 822, 762 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, 726, 822, 762 i.e 2.

3. How can I use the GCD of 488, 726, 822, 762Calculator?

Out the numbers 488, 726, 822, 762 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.