GCD of 137, 296, 705, 199 Calculator

Given Input numbers are 137, 296, 705, 199

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

Divisors of 137 :

The positive integer divisors of 137 that completely divides 137 are.

1, 137

Divisors of 296 :

The positive integer divisors of 296 that completely divides 296 are.

1, 2, 4, 8, 37, 74, 148, 296

Divisors of 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 199 :

The positive integer divisors of 199 that completely divides 199 are.

1, 199

GCD of numbers is the greatest common divisor

So, the GCD (137, 296, 705, 199) = 1.

Given numbers are 137, 296, 705, 199

The list of prime factors of all numbers are

Prime factors of 137 are 137

Prime factors of 296 are 2 x 2 x 2 x 37

Prime factors of 705 are 3 x 5 x 47

Prime factors of 199 are 199

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

Given numbers are 137, 296, 705, 199

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

Apply this formula for all numbers.

Step1:

LCM(137, 296) = 40552

GCD(137, 296) = ( 137 x 296 ) / 40552

= 137 / 296

= 137

Step2:

LCM(1, 705) = 705

GCD(1, 705) = ( 1 x 705 ) / 705

= 1 / 705

= 1

Step3:

LCM(1, 199) = 199

GCD(1, 199) = ( 1 x 199 ) / 199

= 1 / 199

= 1

So, Greatest Common Divisor of 137, 296, 705, 199 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 774, 741, 355, 942
• GCD of 681, 214, 277, 531
• GCD of 581, 431, 324, 378
• GCD of 455, 384, 711, 402
• GCD of 195, 364, 736, 653

Given numbers are 137, 296, 705, 199
The greatest common divisor of numbers 137, 296, 705, 199 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 137, 296, 705, 199 is 1.

1. What is the GCD of 137, 296, 705, 199?

GCD of given numbers 137, 296, 705, 199 is 1

2. How to calculate the greatest common divisor of 137, 296, 705, 199?

We can find the highest common divisor of 137, 296, 705, 199 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 137, 296, 705, 199 i.e 1.

3. How can I use the GCD of 137, 296, 705, 199Calculator?

Out the numbers 137, 296, 705, 199 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.