GCD of 196, 738, 522, 762 Calculator

Given Input numbers are 196, 738, 522, 762

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

Divisors of 196 :

The positive integer divisors of 196 that completely divides 196 are.

1, 2, 4, 7, 14, 28, 49, 98, 196

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 522 :

The positive integer divisors of 522 that completely divides 522 are.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

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 (196, 738, 522, 762) = 2.

Given numbers are 196, 738, 522, 762

The list of prime factors of all numbers are

Prime factors of 196 are 2 x 2 x 7 x 7

Prime factors of 738 are 2 x 3 x 3 x 41

Prime factors of 522 are 2 x 3 x 3 x 29

Prime factors of 762 are 2 x 3 x 127

The highest common occurrence is 2¹

Therefore, GCD of 196, 738, 522, 762 is 2.

Given numbers are 196, 738, 522, 762

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

Apply this formula for all numbers.

Step1:

LCM(196, 738) = 72324

GCD(196, 738) = ( 196 x 738 ) / 72324

= 196 / 738

= 196

Step2:

LCM(2, 522) = 522

GCD(2, 522) = ( 2 x 522 ) / 522

= 2 / 522

= 2

Step3:

LCM(2, 762) = 762

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

= 2 / 762

= 2

So, Greatest Common Divisor of 196, 738, 522, 762 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 530, 269, 379, 691
• GCD of 351, 280, 256, 364
• GCD of 903, 763, 870, 972
• GCD of 594, 789, 963, 859
• GCD of 164, 187, 627, 244

Given numbers are 196, 738, 522, 762
The greatest common divisor of numbers 196, 738, 522, 762 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 196, 738, 522, 762 is 2.

1. What is the GCD of 196, 738, 522, 762?

GCD of given numbers 196, 738, 522, 762 is 2

2. How to calculate the greatest common divisor of 196, 738, 522, 762?

We can find the highest common divisor of 196, 738, 522, 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 196, 738, 522, 762 i.e 2.

3. How can I use the GCD of 196, 738, 522, 762Calculator?

Out the numbers 196, 738, 522, 762 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.