GCD of 764, 412, 898, 632 Calculator

Given Input numbers are 764, 412, 898, 632

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

Divisors of 764 :

The positive integer divisors of 764 that completely divides 764 are.

1, 2, 4, 191, 382, 764

Divisors of 412 :

The positive integer divisors of 412 that completely divides 412 are.

1, 2, 4, 103, 206, 412

Divisors of 898 :

The positive integer divisors of 898 that completely divides 898 are.

1, 2, 449, 898

Divisors of 632 :

The positive integer divisors of 632 that completely divides 632 are.

1, 2, 4, 8, 79, 158, 316, 632

GCD of numbers is the greatest common divisor

So, the GCD (764, 412, 898, 632) = 2.

Given numbers are 764, 412, 898, 632

The list of prime factors of all numbers are

Prime factors of 764 are 2 x 2 x 191

Prime factors of 412 are 2 x 2 x 103

Prime factors of 898 are 2 x 449

Prime factors of 632 are 2 x 2 x 2 x 79

The highest common occurrence is 2¹

Therefore, GCD of 764, 412, 898, 632 is 2.

Given numbers are 764, 412, 898, 632

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

Apply this formula for all numbers.

Step1:

LCM(764, 412) = 78692

GCD(764, 412) = ( 764 x 412 ) / 78692

= 764 / 412

= 764

Step2:

LCM(4, 898) = 1796

GCD(4, 898) = ( 4 x 898 ) / 1796

= 4 / 898

= 4

Step3:

LCM(2, 632) = 632

GCD(2, 632) = ( 2 x 632 ) / 632

= 2 / 632

= 2

So, Greatest Common Divisor of 764, 412, 898, 632 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 665, 389, 273, 722
• GCD of 469, 789, 812, 304
• GCD of 458, 565, 756, 456
• GCD of 390, 271, 190, 452
• GCD of 442, 266, 153, 796

Given numbers are 764, 412, 898, 632
The greatest common divisor of numbers 764, 412, 898, 632 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 764, 412, 898, 632 is 2.

1. What is the GCD of 764, 412, 898, 632?

GCD of given numbers 764, 412, 898, 632 is 2

2. How to calculate the greatest common divisor of 764, 412, 898, 632?

We can find the highest common divisor of 764, 412, 898, 632 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 764, 412, 898, 632 i.e 2.

3. How can I use the GCD of 764, 412, 898, 632Calculator?

Out the numbers 764, 412, 898, 632 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.