GCD of 346, 974, 705, 120 Calculator

Given Input numbers are 346, 974, 705, 120

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

Divisors of 346 :

The positive integer divisors of 346 that completely divides 346 are.

1, 2, 173, 346

Divisors of 974 :

The positive integer divisors of 974 that completely divides 974 are.

1, 2, 487, 974

Divisors of 705 :

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

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

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 (346, 974, 705, 120) = 1.

Given numbers are 346, 974, 705, 120

The list of prime factors of all numbers are

Prime factors of 346 are 2 x 173

Prime factors of 974 are 2 x 487

Prime factors of 705 are 3 x 5 x 47

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 346, 974, 705, 120

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

Apply this formula for all numbers.

Step1:

LCM(346, 974) = 168502

GCD(346, 974) = ( 346 x 974 ) / 168502

= 346 / 974

= 346

Step2:

LCM(2, 705) = 1410

GCD(2, 705) = ( 2 x 705 ) / 1410

= 2 / 705

= 2

Step3:

LCM(1, 120) = 120

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

= 1 / 120

= 1

So, Greatest Common Divisor of 346, 974, 705, 120 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 648, 930, 358, 138
• GCD of 187, 283, 956, 718
• GCD of 162, 387, 444, 960
• GCD of 241, 362, 330, 168
• GCD of 758, 602, 415, 211

Given numbers are 346, 974, 705, 120
The greatest common divisor of numbers 346, 974, 705, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 346, 974, 705, 120 is 1.

1. What is the GCD of 346, 974, 705, 120?

GCD of given numbers 346, 974, 705, 120 is 1

2. How to calculate the greatest common divisor of 346, 974, 705, 120?

We can find the highest common divisor of 346, 974, 705, 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 346, 974, 705, 120 i.e 1.

3. How can I use the GCD of 346, 974, 705, 120Calculator?

Out the numbers 346, 974, 705, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.