GCD of 354, 960, 343, 150 Calculator

Given Input numbers are 354, 960, 343, 150

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

Divisors of 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 343 :

The positive integer divisors of 343 that completely divides 343 are.

1, 7, 49, 343

Divisors of 150 :

The positive integer divisors of 150 that completely divides 150 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

GCD of numbers is the greatest common divisor

So, the GCD (354, 960, 343, 150) = 1.

Given numbers are 354, 960, 343, 150

The list of prime factors of all numbers are

Prime factors of 354 are 2 x 3 x 59

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 343 are 7 x 7 x 7

Prime factors of 150 are 2 x 3 x 5 x 5

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

Given numbers are 354, 960, 343, 150

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

Apply this formula for all numbers.

Step1:

LCM(354, 960) = 56640

GCD(354, 960) = ( 354 x 960 ) / 56640

= 354 / 960

= 354

Step2:

LCM(6, 343) = 2058

GCD(6, 343) = ( 6 x 343 ) / 2058

= 6 / 343

= 6

Step3:

LCM(1, 150) = 150

GCD(1, 150) = ( 1 x 150 ) / 150

= 1 / 150

= 1

So, Greatest Common Divisor of 354, 960, 343, 150 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 838, 372, 948, 821
• GCD of 571, 663, 963, 365
• GCD of 606, 335, 900, 922
• GCD of 466, 519, 393, 934
• GCD of 543, 335, 759, 994

Given numbers are 354, 960, 343, 150
The greatest common divisor of numbers 354, 960, 343, 150 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 354, 960, 343, 150 is 1.

1. What is the GCD of 354, 960, 343, 150?

GCD of given numbers 354, 960, 343, 150 is 1

2. How to calculate the greatest common divisor of 354, 960, 343, 150?

We can find the highest common divisor of 354, 960, 343, 150 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 354, 960, 343, 150 i.e 1.

3. How can I use the GCD of 354, 960, 343, 150Calculator?

Out the numbers 354, 960, 343, 150 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.