GCD of 210, 772, 826, 138 Calculator

Given Input numbers are 210, 772, 826, 138

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

Divisors of 210 :

The positive integer divisors of 210 that completely divides 210 are.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Divisors of 772 :

The positive integer divisors of 772 that completely divides 772 are.

1, 2, 4, 193, 386, 772

Divisors of 826 :

The positive integer divisors of 826 that completely divides 826 are.

1, 2, 7, 14, 59, 118, 413, 826

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 (210, 772, 826, 138) = 2.

Given numbers are 210, 772, 826, 138

The list of prime factors of all numbers are

Prime factors of 210 are 2 x 3 x 5 x 7

Prime factors of 772 are 2 x 2 x 193

Prime factors of 826 are 2 x 7 x 59

Prime factors of 138 are 2 x 3 x 23

The highest common occurrence is 2¹

Therefore, GCD of 210, 772, 826, 138 is 2.

Given numbers are 210, 772, 826, 138

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

Apply this formula for all numbers.

Step1:

LCM(210, 772) = 81060

GCD(210, 772) = ( 210 x 772 ) / 81060

= 210 / 772

= 210

Step2:

LCM(2, 826) = 826

GCD(2, 826) = ( 2 x 826 ) / 826

= 2 / 826

= 2

Step3:

LCM(2, 138) = 138

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

= 2 / 138

= 2

So, Greatest Common Divisor of 210, 772, 826, 138 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 406, 811, 596, 164
• GCD of 271, 266, 706, 343
• GCD of 894, 478, 808, 125
• GCD of 410, 584, 845, 228
• GCD of 461, 488, 605, 984

Given numbers are 210, 772, 826, 138
The greatest common divisor of numbers 210, 772, 826, 138 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 210, 772, 826, 138 is 2.

1. What is the GCD of 210, 772, 826, 138?

GCD of given numbers 210, 772, 826, 138 is 2

2. How to calculate the greatest common divisor of 210, 772, 826, 138?

We can find the highest common divisor of 210, 772, 826, 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 210, 772, 826, 138 i.e 2.

3. How can I use the GCD of 210, 772, 826, 138Calculator?

Out the numbers 210, 772, 826, 138 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.