GCD of 138, 218, 825, 646 Calculator

Given Input numbers are 138, 218, 825, 646

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 218 :

The positive integer divisors of 218 that completely divides 218 are.

1, 2, 109, 218

Divisors of 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 646 :

The positive integer divisors of 646 that completely divides 646 are.

1, 2, 17, 19, 34, 38, 323, 646

GCD of numbers is the greatest common divisor

So, the GCD (138, 218, 825, 646) = 1.

Given numbers are 138, 218, 825, 646

The list of prime factors of all numbers are

Prime factors of 138 are 2 x 3 x 23

Prime factors of 218 are 2 x 109

Prime factors of 825 are 3 x 5 x 5 x 11

Prime factors of 646 are 2 x 17 x 19

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 138, 218, 825, 646

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

Apply this formula for all numbers.

Step1:

LCM(138, 218) = 15042

GCD(138, 218) = ( 138 x 218 ) / 15042

= 138 / 218

= 138

Step2:

LCM(2, 825) = 1650

GCD(2, 825) = ( 2 x 825 ) / 1650

= 2 / 825

= 2

Step3:

LCM(1, 646) = 646

GCD(1, 646) = ( 1 x 646 ) / 646

= 1 / 646

= 1

So, Greatest Common Divisor of 138, 218, 825, 646 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 324, 506, 270, 267
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• GCD of 892, 659, 715, 625
• GCD of 606, 474, 982, 403
• GCD of 795, 781, 619, 692

Given numbers are 138, 218, 825, 646
The greatest common divisor of numbers 138, 218, 825, 646 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 218, 825, 646 is 1.

1. What is the GCD of 138, 218, 825, 646?

GCD of given numbers 138, 218, 825, 646 is 1

2. How to calculate the greatest common divisor of 138, 218, 825, 646?

We can find the highest common divisor of 138, 218, 825, 646 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, 218, 825, 646 i.e 1.

3. How can I use the GCD of 138, 218, 825, 646Calculator?

Out the numbers 138, 218, 825, 646 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.