GCD of 398, 952, 874, 804 Calculator

Given Input numbers are 398, 952, 874, 804

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

Divisors of 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398

Divisors of 952 :

The positive integer divisors of 952 that completely divides 952 are.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

Divisors of 874 :

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

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

Divisors of 804 :

The positive integer divisors of 804 that completely divides 804 are.

1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

GCD of numbers is the greatest common divisor

So, the GCD (398, 952, 874, 804) = 2.

Given numbers are 398, 952, 874, 804

The list of prime factors of all numbers are

Prime factors of 398 are 2 x 199

Prime factors of 952 are 2 x 2 x 2 x 7 x 17

Prime factors of 874 are 2 x 19 x 23

Prime factors of 804 are 2 x 2 x 3 x 67

The highest common occurrence is 2¹

Therefore, GCD of 398, 952, 874, 804 is 2.

Given numbers are 398, 952, 874, 804

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

Apply this formula for all numbers.

Step1:

LCM(398, 952) = 189448

GCD(398, 952) = ( 398 x 952 ) / 189448

= 398 / 952

= 398

Step2:

LCM(2, 874) = 874

GCD(2, 874) = ( 2 x 874 ) / 874

= 2 / 874

= 2

Step3:

LCM(2, 804) = 804

GCD(2, 804) = ( 2 x 804 ) / 804

= 2 / 804

= 2

So, Greatest Common Divisor of 398, 952, 874, 804 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 917, 791, 386, 907
• GCD of 244, 382, 326, 136
• GCD of 270, 530, 202, 949
• GCD of 362, 837, 420, 195
• GCD of 502, 448, 437, 831

Given numbers are 398, 952, 874, 804
The greatest common divisor of numbers 398, 952, 874, 804 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 398, 952, 874, 804 is 2.

1. What is the GCD of 398, 952, 874, 804?

GCD of given numbers 398, 952, 874, 804 is 2

2. How to calculate the greatest common divisor of 398, 952, 874, 804?

We can find the highest common divisor of 398, 952, 874, 804 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 398, 952, 874, 804 i.e 2.

3. How can I use the GCD of 398, 952, 874, 804Calculator?

Out the numbers 398, 952, 874, 804 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.