GCD of 438, 926, 800, 758 Calculator

Given Input numbers are 438, 926, 800, 758

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 926 :

The positive integer divisors of 926 that completely divides 926 are.

1, 2, 463, 926

Divisors of 800 :

The positive integer divisors of 800 that completely divides 800 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 758 :

The positive integer divisors of 758 that completely divides 758 are.

1, 2, 379, 758

GCD of numbers is the greatest common divisor

So, the GCD (438, 926, 800, 758) = 2.

Given numbers are 438, 926, 800, 758

The list of prime factors of all numbers are

Prime factors of 438 are 2 x 3 x 73

Prime factors of 926 are 2 x 463

Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 758 are 2 x 379

The highest common occurrence is 2¹

Therefore, GCD of 438, 926, 800, 758 is 2.

Given numbers are 438, 926, 800, 758

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

Apply this formula for all numbers.

Step1:

LCM(438, 926) = 202794

GCD(438, 926) = ( 438 x 926 ) / 202794

= 438 / 926

= 438

Step2:

LCM(2, 800) = 800

GCD(2, 800) = ( 2 x 800 ) / 800

= 2 / 800

= 2

Step3:

LCM(2, 758) = 758

GCD(2, 758) = ( 2 x 758 ) / 758

= 2 / 758

= 2

So, Greatest Common Divisor of 438, 926, 800, 758 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 500, 786, 274, 734
• GCD of 292, 156, 420, 463
• GCD of 222, 334, 243, 139
• GCD of 533, 783, 208, 208
• GCD of 268, 498, 837, 911

Given numbers are 438, 926, 800, 758
The greatest common divisor of numbers 438, 926, 800, 758 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 438, 926, 800, 758 is 2.

1. What is the GCD of 438, 926, 800, 758?

GCD of given numbers 438, 926, 800, 758 is 2

2. How to calculate the greatest common divisor of 438, 926, 800, 758?

We can find the highest common divisor of 438, 926, 800, 758 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, 926, 800, 758 i.e 2.

3. How can I use the GCD of 438, 926, 800, 758Calculator?

Out the numbers 438, 926, 800, 758 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.