GCD of 357, 675, 34, 120 Calculator

Given Input numbers are 357, 675, 34, 120

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

Divisors of 357 :

The positive integer divisors of 357 that completely divides 357 are.

1, 3, 7, 17, 21, 51, 119, 357

Divisors of 675 :

The positive integer divisors of 675 that completely divides 675 are.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Divisors of 34 :

The positive integer divisors of 34 that completely divides 34 are.

1, 2, 17, 34

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

GCD of numbers is the greatest common divisor

So, the GCD (357, 675, 34, 120) = 1.

Given numbers are 357, 675, 34, 120

The list of prime factors of all numbers are

Prime factors of 357 are 3 x 7 x 17

Prime factors of 675 are 3 x 3 x 3 x 5 x 5

Prime factors of 34 are 2 x 17

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

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

Given numbers are 357, 675, 34, 120

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

Apply this formula for all numbers.

Step1:

LCM(357, 675) = 80325

GCD(357, 675) = ( 357 x 675 ) / 80325

= 357 / 675

= 357

Step2:

LCM(3, 34) = 102

GCD(3, 34) = ( 3 x 34 ) / 102

= 3 / 34

= 3

Step3:

LCM(1, 120) = 120

GCD(1, 120) = ( 1 x 120 ) / 120

= 1 / 120

= 1

So, Greatest Common Divisor of 357, 675, 34, 120 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 278, 382, 39, 395
• GCD of 434, 934, 35, 121
• GCD of 439, 159, 53, 267
• GCD of 212, 260, 70, 106
• GCD of 898, 775, 63, 293

Given numbers are 357, 675, 34, 120
The greatest common divisor of numbers 357, 675, 34, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 357, 675, 34, 120 is 1.

1. What is the GCD of 357, 675, 34, 120?

GCD of given numbers 357, 675, 34, 120 is 1

2. How to calculate the greatest common divisor of 357, 675, 34, 120?

We can find the highest common divisor of 357, 675, 34, 120 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 357, 675, 34, 120 i.e 1.

3. How can I use the GCD of 357, 675, 34, 120Calculator?

Out the numbers 357, 675, 34, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.