GCD of 138, 180, 242, 151 Calculator

Given Input numbers are 138, 180, 242, 151

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 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 242 :

The positive integer divisors of 242 that completely divides 242 are.

1, 2, 11, 22, 121, 242

Divisors of 151 :

The positive integer divisors of 151 that completely divides 151 are.

1, 151

GCD of numbers is the greatest common divisor

So, the GCD (138, 180, 242, 151) = 1.

Given numbers are 138, 180, 242, 151

The list of prime factors of all numbers are

Prime factors of 138 are 2 x 3 x 23

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

Prime factors of 242 are 2 x 11 x 11

Prime factors of 151 are 151

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

Given numbers are 138, 180, 242, 151

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

Apply this formula for all numbers.

Step1:

LCM(138, 180) = 4140

GCD(138, 180) = ( 138 x 180 ) / 4140

= 138 / 180

= 138

Step2:

LCM(6, 242) = 726

GCD(6, 242) = ( 6 x 242 ) / 726

= 6 / 242

= 6

Step3:

LCM(2, 151) = 302

GCD(2, 151) = ( 2 x 151 ) / 302

= 2 / 151

= 2

So, Greatest Common Divisor of 138, 180, 242, 151 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 992, 300, 756, 130
• GCD of 786, 599, 492, 448
• GCD of 376, 573, 504, 154
• GCD of 552, 599, 285, 216
• GCD of 965, 327, 484, 912

Given numbers are 138, 180, 242, 151
The greatest common divisor of numbers 138, 180, 242, 151 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 180, 242, 151 is 1.

1. What is the GCD of 138, 180, 242, 151?

GCD of given numbers 138, 180, 242, 151 is 1

2. How to calculate the greatest common divisor of 138, 180, 242, 151?

We can find the highest common divisor of 138, 180, 242, 151 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, 180, 242, 151 i.e 1.

3. How can I use the GCD of 138, 180, 242, 151Calculator?

Out the numbers 138, 180, 242, 151 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.