GCD of 838, 972, 782, 138 Calculator

Given Input numbers are 838, 972, 782, 138

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 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 782 :

The positive integer divisors of 782 that completely divides 782 are.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

GCD of numbers is the greatest common divisor

So, the GCD (838, 972, 782, 138) = 2.

Given numbers are 838, 972, 782, 138

The list of prime factors of all numbers are

Prime factors of 838 are 2 x 419

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 782 are 2 x 17 x 23

Prime factors of 138 are 2 x 3 x 23

The highest common occurrence is 2¹

Therefore, GCD of 838, 972, 782, 138 is 2.

Given numbers are 838, 972, 782, 138

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

Apply this formula for all numbers.

Step1:

LCM(838, 972) = 407268

GCD(838, 972) = ( 838 x 972 ) / 407268

= 838 / 972

= 838

Step2:

LCM(2, 782) = 782

GCD(2, 782) = ( 2 x 782 ) / 782

= 2 / 782

= 2

Step3:

LCM(2, 138) = 138

GCD(2, 138) = ( 2 x 138 ) / 138

= 2 / 138

= 2

So, Greatest Common Divisor of 838, 972, 782, 138 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 217, 543, 872, 701
• GCD of 869, 210, 862, 989
• GCD of 521, 652, 588, 890
• GCD of 185, 289, 671, 712
• GCD of 667, 142, 505, 518

Given numbers are 838, 972, 782, 138
The greatest common divisor of numbers 838, 972, 782, 138 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 838, 972, 782, 138 is 2.

1. What is the GCD of 838, 972, 782, 138?

GCD of given numbers 838, 972, 782, 138 is 2

2. How to calculate the greatest common divisor of 838, 972, 782, 138?

We can find the highest common divisor of 838, 972, 782, 138 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, 972, 782, 138 i.e 2.

3. How can I use the GCD of 838, 972, 782, 138Calculator?

Out the numbers 838, 972, 782, 138 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.