GCD of 354, 297, 104, 274 Calculator

Given Input numbers are 354, 297, 104, 274

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 297 :

The positive integer divisors of 297 that completely divides 297 are.

1, 3, 9, 11, 27, 33, 99, 297

Divisors of 104 :

The positive integer divisors of 104 that completely divides 104 are.

1, 2, 4, 8, 13, 26, 52, 104

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 (354, 297, 104, 274) = 1.

Given numbers are 354, 297, 104, 274

The list of prime factors of all numbers are

Prime factors of 354 are 2 x 3 x 59

Prime factors of 297 are 3 x 3 x 3 x 11

Prime factors of 104 are 2 x 2 x 2 x 13

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 354, 297, 104, 274

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

Apply this formula for all numbers.

Step1:

LCM(354, 297) = 35046

GCD(354, 297) = ( 354 x 297 ) / 35046

= 354 / 297

= 354

Step2:

LCM(3, 104) = 312

GCD(3, 104) = ( 3 x 104 ) / 312

= 3 / 104

= 3

Step3:

LCM(1, 274) = 274

GCD(1, 274) = ( 1 x 274 ) / 274

= 1 / 274

= 1

So, Greatest Common Divisor of 354, 297, 104, 274 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 193, 866, 213, 248
• GCD of 545, 349, 204, 170
• GCD of 462, 222, 309, 962
• GCD of 918, 555, 700, 382
• GCD of 411, 369, 969, 339

Given numbers are 354, 297, 104, 274
The greatest common divisor of numbers 354, 297, 104, 274 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 354, 297, 104, 274 is 1.

1. What is the GCD of 354, 297, 104, 274?

GCD of given numbers 354, 297, 104, 274 is 1

2. How to calculate the greatest common divisor of 354, 297, 104, 274?

We can find the highest common divisor of 354, 297, 104, 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 354, 297, 104, 274 i.e 1.

3. How can I use the GCD of 354, 297, 104, 274Calculator?

Out the numbers 354, 297, 104, 274 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.