GCD of 115, 120, 734, 355 Calculator

Given Input numbers are 115, 120, 734, 355

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

Divisors of 115 :

The positive integer divisors of 115 that completely divides 115 are.

1, 5, 23, 115

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 734 :

The positive integer divisors of 734 that completely divides 734 are.

1, 2, 367, 734

Divisors of 355 :

The positive integer divisors of 355 that completely divides 355 are.

1, 5, 71, 355

GCD of numbers is the greatest common divisor

So, the GCD (115, 120, 734, 355) = 1.

Given numbers are 115, 120, 734, 355

The list of prime factors of all numbers are

Prime factors of 115 are 5 x 23

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 734 are 2 x 367

Prime factors of 355 are 5 x 71

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

Given numbers are 115, 120, 734, 355

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

Apply this formula for all numbers.

Step1:

LCM(115, 120) = 2760

GCD(115, 120) = ( 115 x 120 ) / 2760

= 115 / 120

= 115

Step2:

LCM(5, 734) = 3670

GCD(5, 734) = ( 5 x 734 ) / 3670

= 5 / 734

= 5

Step3:

LCM(1, 355) = 355

GCD(1, 355) = ( 1 x 355 ) / 355

= 1 / 355

= 1

So, Greatest Common Divisor of 115, 120, 734, 355 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 789, 561, 239, 592
• GCD of 895, 674, 279, 171
• GCD of 599, 131, 790, 569
• GCD of 759, 559, 888, 541
• GCD of 412, 599, 692, 509

Given numbers are 115, 120, 734, 355
The greatest common divisor of numbers 115, 120, 734, 355 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 115, 120, 734, 355 is 1.

1. What is the GCD of 115, 120, 734, 355?

GCD of given numbers 115, 120, 734, 355 is 1

2. How to calculate the greatest common divisor of 115, 120, 734, 355?

We can find the highest common divisor of 115, 120, 734, 355 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 115, 120, 734, 355 i.e 1.

3. How can I use the GCD of 115, 120, 734, 355Calculator?

Out the numbers 115, 120, 734, 355 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.