GCD of 122, 136, 743, 200 Calculator

Given Input numbers are 122, 136, 743, 200

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

Divisors of 122 :

The positive integer divisors of 122 that completely divides 122 are.

1, 2, 61, 122

Divisors of 136 :

The positive integer divisors of 136 that completely divides 136 are.

1, 2, 4, 8, 17, 34, 68, 136

Divisors of 743 :

The positive integer divisors of 743 that completely divides 743 are.

1, 743

Divisors of 200 :

The positive integer divisors of 200 that completely divides 200 are.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

GCD of numbers is the greatest common divisor

So, the GCD (122, 136, 743, 200) = 1.

Given numbers are 122, 136, 743, 200

The list of prime factors of all numbers are

Prime factors of 122 are 2 x 61

Prime factors of 136 are 2 x 2 x 2 x 17

Prime factors of 743 are 743

Prime factors of 200 are 2 x 2 x 2 x 5 x 5

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

Given numbers are 122, 136, 743, 200

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

Apply this formula for all numbers.

Step1:

LCM(122, 136) = 8296

GCD(122, 136) = ( 122 x 136 ) / 8296

= 122 / 136

= 122

Step2:

LCM(2, 743) = 1486

GCD(2, 743) = ( 2 x 743 ) / 1486

= 2 / 743

= 2

Step3:

LCM(1, 200) = 200

GCD(1, 200) = ( 1 x 200 ) / 200

= 1 / 200

= 1

So, Greatest Common Divisor of 122, 136, 743, 200 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 966, 283, 148, 547
• GCD of 573, 450, 588, 795
• GCD of 382, 770, 882, 223
• GCD of 362, 978, 518, 494
• GCD of 558, 135, 377, 772

Given numbers are 122, 136, 743, 200
The greatest common divisor of numbers 122, 136, 743, 200 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 122, 136, 743, 200 is 1.

1. What is the GCD of 122, 136, 743, 200?

GCD of given numbers 122, 136, 743, 200 is 1

2. How to calculate the greatest common divisor of 122, 136, 743, 200?

We can find the highest common divisor of 122, 136, 743, 200 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 122, 136, 743, 200 i.e 1.

3. How can I use the GCD of 122, 136, 743, 200Calculator?

Out the numbers 122, 136, 743, 200 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.