GCD of 952, 574, 803, 198 Calculator

Given Input numbers are 952, 574, 803, 198

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

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 574 :

The positive integer divisors of 574 that completely divides 574 are.

1, 2, 7, 14, 41, 82, 287, 574

Divisors of 803 :

The positive integer divisors of 803 that completely divides 803 are.

1, 11, 73, 803

Divisors of 198 :

The positive integer divisors of 198 that completely divides 198 are.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

GCD of numbers is the greatest common divisor

So, the GCD (952, 574, 803, 198) = 1.

Given numbers are 952, 574, 803, 198

The list of prime factors of all numbers are

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

Prime factors of 574 are 2 x 7 x 41

Prime factors of 803 are 11 x 73

Prime factors of 198 are 2 x 3 x 3 x 11

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

Given numbers are 952, 574, 803, 198

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

Apply this formula for all numbers.

Step1:

LCM(952, 574) = 39032

GCD(952, 574) = ( 952 x 574 ) / 39032

= 952 / 574

= 952

Step2:

LCM(14, 803) = 11242

GCD(14, 803) = ( 14 x 803 ) / 11242

= 14 / 803

= 14

Step3:

LCM(1, 198) = 198

GCD(1, 198) = ( 1 x 198 ) / 198

= 1 / 198

= 1

So, Greatest Common Divisor of 952, 574, 803, 198 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 370, 128, 596, 708
• GCD of 916, 503, 423, 631
• GCD of 517, 671, 267, 517
• GCD of 149, 102, 923, 265
• GCD of 136, 619, 593, 232

Given numbers are 952, 574, 803, 198
The greatest common divisor of numbers 952, 574, 803, 198 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 952, 574, 803, 198 is 1.

1. What is the GCD of 952, 574, 803, 198?

GCD of given numbers 952, 574, 803, 198 is 1

2. How to calculate the greatest common divisor of 952, 574, 803, 198?

We can find the highest common divisor of 952, 574, 803, 198 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 952, 574, 803, 198 i.e 1.

3. How can I use the GCD of 952, 574, 803, 198Calculator?

Out the numbers 952, 574, 803, 198 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.