GCD of 355, 480, 660, 274 Calculator

Given Input numbers are 355, 480, 660, 274

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

Divisors of 355 :

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

1, 5, 71, 355

Divisors of 480 :

The positive integer divisors of 480 that completely divides 480 are.

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

Divisors of 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 274 :

The positive integer divisors of 274 that completely divides 274 are.

1, 2, 137, 274

GCD of numbers is the greatest common divisor

So, the GCD (355, 480, 660, 274) = 1.

Given numbers are 355, 480, 660, 274

The list of prime factors of all numbers are

Prime factors of 355 are 5 x 71

Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 660 are 2 x 2 x 3 x 5 x 11

Prime factors of 274 are 2 x 137

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

Given numbers are 355, 480, 660, 274

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

Apply this formula for all numbers.

Step1:

LCM(355, 480) = 34080

GCD(355, 480) = ( 355 x 480 ) / 34080

= 355 / 480

= 355

Step2:

LCM(5, 660) = 660

GCD(5, 660) = ( 5 x 660 ) / 660

= 5 / 660

= 5

Step3:

LCM(5, 274) = 1370

GCD(5, 274) = ( 5 x 274 ) / 1370

= 5 / 274

= 5

So, Greatest Common Divisor of 355, 480, 660, 274 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 959, 262, 836, 180
• GCD of 718, 641, 512, 891
• GCD of 159, 761, 279, 438
• GCD of 294, 195, 933, 142
• GCD of 247, 199, 893, 970

Given numbers are 355, 480, 660, 274
The greatest common divisor of numbers 355, 480, 660, 274 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 355, 480, 660, 274 is 1.

1. What is the GCD of 355, 480, 660, 274?

GCD of given numbers 355, 480, 660, 274 is 1

2. How to calculate the greatest common divisor of 355, 480, 660, 274?

We can find the highest common divisor of 355, 480, 660, 274 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 355, 480, 660, 274 i.e 1.

3. How can I use the GCD of 355, 480, 660, 274Calculator?

Out the numbers 355, 480, 660, 274 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.