GCD of 838, 252, 752, 438 Calculator

Given Input numbers are 838, 252, 752, 438

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

Divisors of 838 :

The positive integer divisors of 838 that completely divides 838 are.

1, 2, 419, 838

Divisors of 252 :

The positive integer divisors of 252 that completely divides 252 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Divisors of 752 :

The positive integer divisors of 752 that completely divides 752 are.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Divisors of 438 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (838, 252, 752, 438) = 2.

Given numbers are 838, 252, 752, 438

The list of prime factors of all numbers are

Prime factors of 838 are 2 x 419

Prime factors of 252 are 2 x 2 x 3 x 3 x 7

Prime factors of 752 are 2 x 2 x 2 x 2 x 47

Prime factors of 438 are 2 x 3 x 73

The highest common occurrence is 2¹

Therefore, GCD of 838, 252, 752, 438 is 2.

Given numbers are 838, 252, 752, 438

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

Apply this formula for all numbers.

Step1:

LCM(838, 252) = 105588

GCD(838, 252) = ( 838 x 252 ) / 105588

= 838 / 252

= 838

Step2:

LCM(2, 752) = 752

GCD(2, 752) = ( 2 x 752 ) / 752

= 2 / 752

= 2

Step3:

LCM(2, 438) = 438

GCD(2, 438) = ( 2 x 438 ) / 438

= 2 / 438

= 2

So, Greatest Common Divisor of 838, 252, 752, 438 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 610, 666, 146, 344
• GCD of 448, 140, 383, 309
• GCD of 190, 453, 139, 779
• GCD of 820, 650, 936, 765
• GCD of 645, 299, 172, 897

Given numbers are 838, 252, 752, 438
The greatest common divisor of numbers 838, 252, 752, 438 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 838, 252, 752, 438 is 2.

1. What is the GCD of 838, 252, 752, 438?

GCD of given numbers 838, 252, 752, 438 is 2

2. How to calculate the greatest common divisor of 838, 252, 752, 438?

We can find the highest common divisor of 838, 252, 752, 438 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 838, 252, 752, 438 i.e 2.

3. How can I use the GCD of 838, 252, 752, 438Calculator?

Out the numbers 838, 252, 752, 438 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.