GCD of 374, 204, 969, 874 Calculator

Given Input numbers are 374, 204, 969, 874

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 204 :

The positive integer divisors of 204 that completely divides 204 are.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Divisors of 969 :

The positive integer divisors of 969 that completely divides 969 are.

1, 3, 17, 19, 51, 57, 323, 969

Divisors of 874 :

The positive integer divisors of 874 that completely divides 874 are.

1, 2, 19, 23, 38, 46, 437, 874

GCD of numbers is the greatest common divisor

So, the GCD (374, 204, 969, 874) = 1.

Given numbers are 374, 204, 969, 874

The list of prime factors of all numbers are

Prime factors of 374 are 2 x 11 x 17

Prime factors of 204 are 2 x 2 x 3 x 17

Prime factors of 969 are 3 x 17 x 19

Prime factors of 874 are 2 x 19 x 23

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

Given numbers are 374, 204, 969, 874

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

Apply this formula for all numbers.

Step1:

LCM(374, 204) = 2244

GCD(374, 204) = ( 374 x 204 ) / 2244

= 374 / 204

= 374

Step2:

LCM(34, 969) = 1938

GCD(34, 969) = ( 34 x 969 ) / 1938

= 34 / 969

= 34

Step3:

LCM(17, 874) = 14858

GCD(17, 874) = ( 17 x 874 ) / 14858

= 17 / 874

= 17

So, Greatest Common Divisor of 374, 204, 969, 874 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 626, 300, 454, 866
• GCD of 109, 271, 332, 176
• GCD of 467, 773, 950, 934
• GCD of 958, 484, 661, 213
• GCD of 473, 817, 999, 139

Given numbers are 374, 204, 969, 874
The greatest common divisor of numbers 374, 204, 969, 874 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 374, 204, 969, 874 is 1.

1. What is the GCD of 374, 204, 969, 874?

GCD of given numbers 374, 204, 969, 874 is 1

2. How to calculate the greatest common divisor of 374, 204, 969, 874?

We can find the highest common divisor of 374, 204, 969, 874 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, 204, 969, 874 i.e 1.

3. How can I use the GCD of 374, 204, 969, 874Calculator?

Out the numbers 374, 204, 969, 874 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.