GCD of 352, 704, 827, 198 Calculator

Given Input numbers are 352, 704, 827, 198

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

Divisors of 352 :

The positive integer divisors of 352 that completely divides 352 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Divisors of 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 827 :

The positive integer divisors of 827 that completely divides 827 are.

1, 827

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 (352, 704, 827, 198) = 1.

Given numbers are 352, 704, 827, 198

The list of prime factors of all numbers are

Prime factors of 352 are 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 827 are 827

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 352, 704, 827, 198

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

Apply this formula for all numbers.

Step1:

LCM(352, 704) = 704

GCD(352, 704) = ( 352 x 704 ) / 704

= 352 / 704

= 352

Step2:

LCM(352, 827) = 291104

GCD(352, 827) = ( 352 x 827 ) / 291104

= 352 / 827

= 352

Step3:

LCM(1, 198) = 198

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

= 1 / 198

= 1

So, Greatest Common Divisor of 352, 704, 827, 198 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 392, 292, 201, 813
• GCD of 542, 837, 945, 859
• GCD of 929, 103, 756, 957
• GCD of 117, 523, 299, 579
• GCD of 591, 233, 916, 588

Given numbers are 352, 704, 827, 198
The greatest common divisor of numbers 352, 704, 827, 198 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 352, 704, 827, 198 is 1.

1. What is the GCD of 352, 704, 827, 198?

GCD of given numbers 352, 704, 827, 198 is 1

2. How to calculate the greatest common divisor of 352, 704, 827, 198?

We can find the highest common divisor of 352, 704, 827, 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 352, 704, 827, 198 i.e 1.

3. How can I use the GCD of 352, 704, 827, 198Calculator?

Out the numbers 352, 704, 827, 198 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.