GCD of 364, 169, 132, 998 Calculator

Given Input numbers are 364, 169, 132, 998

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

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 169 :

The positive integer divisors of 169 that completely divides 169 are.

1, 13, 169

Divisors of 132 :

The positive integer divisors of 132 that completely divides 132 are.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 998 :

The positive integer divisors of 998 that completely divides 998 are.

1, 2, 499, 998

GCD of numbers is the greatest common divisor

So, the GCD (364, 169, 132, 998) = 1.

Given numbers are 364, 169, 132, 998

The list of prime factors of all numbers are

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 169 are 13 x 13

Prime factors of 132 are 2 x 2 x 3 x 11

Prime factors of 998 are 2 x 499

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

Given numbers are 364, 169, 132, 998

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

Apply this formula for all numbers.

Step1:

LCM(364, 169) = 4732

GCD(364, 169) = ( 364 x 169 ) / 4732

= 364 / 169

= 364

Step2:

LCM(13, 132) = 1716

GCD(13, 132) = ( 13 x 132 ) / 1716

= 13 / 132

= 13

Step3:

LCM(1, 998) = 998

GCD(1, 998) = ( 1 x 998 ) / 998

= 1 / 998

= 1

So, Greatest Common Divisor of 364, 169, 132, 998 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 351, 198, 310, 794
• GCD of 555, 408, 567, 371
• GCD of 871, 898, 455, 405
• GCD of 394, 654, 883, 135
• GCD of 255, 209, 470, 121

Given numbers are 364, 169, 132, 998
The greatest common divisor of numbers 364, 169, 132, 998 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 364, 169, 132, 998 is 1.

1. What is the GCD of 364, 169, 132, 998?

GCD of given numbers 364, 169, 132, 998 is 1

2. How to calculate the greatest common divisor of 364, 169, 132, 998?

We can find the highest common divisor of 364, 169, 132, 998 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 364, 169, 132, 998 i.e 1.

3. How can I use the GCD of 364, 169, 132, 998Calculator?

Out the numbers 364, 169, 132, 998 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.