GCD of 374, 354, 292, 442 Calculator

Given Input numbers are 374, 354, 292, 442

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 354 :

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

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

Divisors of 292 :

The positive integer divisors of 292 that completely divides 292 are.

1, 2, 4, 73, 146, 292

Divisors of 442 :

The positive integer divisors of 442 that completely divides 442 are.

1, 2, 13, 17, 26, 34, 221, 442

GCD of numbers is the greatest common divisor

So, the GCD (374, 354, 292, 442) = 2.

Given numbers are 374, 354, 292, 442

The list of prime factors of all numbers are

Prime factors of 374 are 2 x 11 x 17

Prime factors of 354 are 2 x 3 x 59

Prime factors of 292 are 2 x 2 x 73

Prime factors of 442 are 2 x 13 x 17

The highest common occurrence is 2¹

Therefore, GCD of 374, 354, 292, 442 is 2.

Given numbers are 374, 354, 292, 442

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

Apply this formula for all numbers.

Step1:

LCM(374, 354) = 66198

GCD(374, 354) = ( 374 x 354 ) / 66198

= 374 / 354

= 374

Step2:

LCM(2, 292) = 292

GCD(2, 292) = ( 2 x 292 ) / 292

= 2 / 292

= 2

Step3:

LCM(2, 442) = 442

GCD(2, 442) = ( 2 x 442 ) / 442

= 2 / 442

= 2

So, Greatest Common Divisor of 374, 354, 292, 442 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 112, 224, 768, 421
• GCD of 698, 870, 862, 875
• GCD of 521, 535, 164, 664
• GCD of 278, 600, 690, 817
• GCD of 122, 497, 822, 336

Given numbers are 374, 354, 292, 442
The greatest common divisor of numbers 374, 354, 292, 442 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 374, 354, 292, 442 is 2.

1. What is the GCD of 374, 354, 292, 442?

GCD of given numbers 374, 354, 292, 442 is 2

2. How to calculate the greatest common divisor of 374, 354, 292, 442?

We can find the highest common divisor of 374, 354, 292, 442 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, 354, 292, 442 i.e 2.

3. How can I use the GCD of 374, 354, 292, 442Calculator?

Out the numbers 374, 354, 292, 442 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.