GCD of 374, 702, 354, 274 Calculator

Given Input numbers are 374, 702, 354, 274

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

Divisors of 374 :

The positive integer divisors of 374 that completely divides 374 are.

1, 2, 11, 17, 22, 34, 187, 374

Divisors of 702 :

The positive integer divisors of 702 that completely divides 702 are.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Divisors of 354 :

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

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

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 (374, 702, 354, 274) = 2.

Given numbers are 374, 702, 354, 274

The list of prime factors of all numbers are

Prime factors of 374 are 2 x 11 x 17

Prime factors of 702 are 2 x 3 x 3 x 3 x 13

Prime factors of 354 are 2 x 3 x 59

Prime factors of 274 are 2 x 137

The highest common occurrence is 2¹

Therefore, GCD of 374, 702, 354, 274 is 2.

Given numbers are 374, 702, 354, 274

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

Apply this formula for all numbers.

Step1:

LCM(374, 702) = 131274

GCD(374, 702) = ( 374 x 702 ) / 131274

= 374 / 702

= 374

Step2:

LCM(2, 354) = 354

GCD(2, 354) = ( 2 x 354 ) / 354

= 2 / 354

= 2

Step3:

LCM(2, 274) = 274

GCD(2, 274) = ( 2 x 274 ) / 274

= 2 / 274

= 2

So, Greatest Common Divisor of 374, 702, 354, 274 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 190, 439, 353, 218
• GCD of 532, 536, 731, 978
• GCD of 779, 734, 884, 665
• GCD of 529, 771, 324, 905
• GCD of 199, 935, 955, 686

Given numbers are 374, 702, 354, 274
The greatest common divisor of numbers 374, 702, 354, 274 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 374, 702, 354, 274 is 2.

1. What is the GCD of 374, 702, 354, 274?

GCD of given numbers 374, 702, 354, 274 is 2

2. How to calculate the greatest common divisor of 374, 702, 354, 274?

We can find the highest common divisor of 374, 702, 354, 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 374, 702, 354, 274 i.e 2.

3. How can I use the GCD of 374, 702, 354, 274Calculator?

Out the numbers 374, 702, 354, 274 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.