GCD of 438, 562, 762, 596 Calculator

Given Input numbers are 438, 562, 762, 596

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

Divisors of 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 562 :

The positive integer divisors of 562 that completely divides 562 are.

1, 2, 281, 562

Divisors of 762 :

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

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

Divisors of 596 :

The positive integer divisors of 596 that completely divides 596 are.

1, 2, 4, 149, 298, 596

GCD of numbers is the greatest common divisor

So, the GCD (438, 562, 762, 596) = 2.

Given numbers are 438, 562, 762, 596

The list of prime factors of all numbers are

Prime factors of 438 are 2 x 3 x 73

Prime factors of 562 are 2 x 281

Prime factors of 762 are 2 x 3 x 127

Prime factors of 596 are 2 x 2 x 149

The highest common occurrence is 2¹

Therefore, GCD of 438, 562, 762, 596 is 2.

Given numbers are 438, 562, 762, 596

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

Apply this formula for all numbers.

Step1:

LCM(438, 562) = 123078

GCD(438, 562) = ( 438 x 562 ) / 123078

= 438 / 562

= 438

Step2:

LCM(2, 762) = 762

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

= 2 / 762

= 2

Step3:

LCM(2, 596) = 596

GCD(2, 596) = ( 2 x 596 ) / 596

= 2 / 596

= 2

So, Greatest Common Divisor of 438, 562, 762, 596 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 542, 671, 883, 220
• GCD of 683, 143, 821, 333
• GCD of 246, 569, 746, 360
• GCD of 226, 167, 501, 621
• GCD of 999, 120, 883, 998

Given numbers are 438, 562, 762, 596
The greatest common divisor of numbers 438, 562, 762, 596 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 438, 562, 762, 596 is 2.

1. What is the GCD of 438, 562, 762, 596?

GCD of given numbers 438, 562, 762, 596 is 2

2. How to calculate the greatest common divisor of 438, 562, 762, 596?

We can find the highest common divisor of 438, 562, 762, 596 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 438, 562, 762, 596 i.e 2.

3. How can I use the GCD of 438, 562, 762, 596Calculator?

Out the numbers 438, 562, 762, 596 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.