GCD of 826, 268, 600, 138 Calculator

Given Input numbers are 826, 268, 600, 138

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

Divisors of 826 :

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

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

Divisors of 268 :

The positive integer divisors of 268 that completely divides 268 are.

1, 2, 4, 67, 134, 268

Divisors of 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

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 (826, 268, 600, 138) = 2.

Given numbers are 826, 268, 600, 138

The list of prime factors of all numbers are

Prime factors of 826 are 2 x 7 x 59

Prime factors of 268 are 2 x 2 x 67

Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5

Prime factors of 138 are 2 x 3 x 23

The highest common occurrence is 2¹

Therefore, GCD of 826, 268, 600, 138 is 2.

Given numbers are 826, 268, 600, 138

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

Apply this formula for all numbers.

Step1:

LCM(826, 268) = 110684

GCD(826, 268) = ( 826 x 268 ) / 110684

= 826 / 268

= 826

Step2:

LCM(2, 600) = 600

GCD(2, 600) = ( 2 x 600 ) / 600

= 2 / 600

= 2

Step3:

LCM(2, 138) = 138

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

= 2 / 138

= 2

So, Greatest Common Divisor of 826, 268, 600, 138 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 752, 162, 283, 880
• GCD of 822, 358, 164, 444
• GCD of 784, 363, 467, 697
• GCD of 683, 848, 767, 430
• GCD of 283, 915, 187, 152

Given numbers are 826, 268, 600, 138
The greatest common divisor of numbers 826, 268, 600, 138 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 826, 268, 600, 138 is 2.

1. What is the GCD of 826, 268, 600, 138?

GCD of given numbers 826, 268, 600, 138 is 2

2. How to calculate the greatest common divisor of 826, 268, 600, 138?

We can find the highest common divisor of 826, 268, 600, 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 826, 268, 600, 138 i.e 2.

3. How can I use the GCD of 826, 268, 600, 138Calculator?

Out the numbers 826, 268, 600, 138 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.