GCD of 138, 262, 790, 800 Calculator

Given Input numbers are 138, 262, 790, 800

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

Divisors of 138 :

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

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

Divisors of 262 :

The positive integer divisors of 262 that completely divides 262 are.

1, 2, 131, 262

Divisors of 790 :

The positive integer divisors of 790 that completely divides 790 are.

1, 2, 5, 10, 79, 158, 395, 790

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

GCD of numbers is the greatest common divisor

So, the GCD (138, 262, 790, 800) = 2.

Given numbers are 138, 262, 790, 800

The list of prime factors of all numbers are

Prime factors of 138 are 2 x 3 x 23

Prime factors of 262 are 2 x 131

Prime factors of 790 are 2 x 5 x 79

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

The highest common occurrence is 2¹

Therefore, GCD of 138, 262, 790, 800 is 2.

Given numbers are 138, 262, 790, 800

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

Apply this formula for all numbers.

Step1:

LCM(138, 262) = 18078

GCD(138, 262) = ( 138 x 262 ) / 18078

= 138 / 262

= 138

Step2:

LCM(2, 790) = 790

GCD(2, 790) = ( 2 x 790 ) / 790

= 2 / 790

= 2

Step3:

LCM(2, 800) = 800

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

= 2 / 800

= 2

So, Greatest Common Divisor of 138, 262, 790, 800 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 565, 134, 490, 703
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• GCD of 238, 304, 632, 606

Given numbers are 138, 262, 790, 800
The greatest common divisor of numbers 138, 262, 790, 800 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 262, 790, 800 is 2.

1. What is the GCD of 138, 262, 790, 800?

GCD of given numbers 138, 262, 790, 800 is 2

2. How to calculate the greatest common divisor of 138, 262, 790, 800?

We can find the highest common divisor of 138, 262, 790, 800 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 138, 262, 790, 800 i.e 2.

3. How can I use the GCD of 138, 262, 790, 800Calculator?

Out the numbers 138, 262, 790, 800 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.