GCD of 338, 132, 315, 991 Calculator

Given Input numbers are 338, 132, 315, 991

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

Divisors of 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

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 315 :

The positive integer divisors of 315 that completely divides 315 are.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 991 :

The positive integer divisors of 991 that completely divides 991 are.

1, 991

GCD of numbers is the greatest common divisor

So, the GCD (338, 132, 315, 991) = 1.

Given numbers are 338, 132, 315, 991

The list of prime factors of all numbers are

Prime factors of 338 are 2 x 13 x 13

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

Prime factors of 315 are 3 x 3 x 5 x 7

Prime factors of 991 are 991

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

Given numbers are 338, 132, 315, 991

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

Apply this formula for all numbers.

Step1:

LCM(338, 132) = 22308

GCD(338, 132) = ( 338 x 132 ) / 22308

= 338 / 132

= 338

Step2:

LCM(2, 315) = 630

GCD(2, 315) = ( 2 x 315 ) / 630

= 2 / 315

= 2

Step3:

LCM(1, 991) = 991

GCD(1, 991) = ( 1 x 991 ) / 991

= 1 / 991

= 1

So, Greatest Common Divisor of 338, 132, 315, 991 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 304, 441, 684, 967
• GCD of 336, 418, 709, 482
• GCD of 682, 714, 712, 283
• GCD of 346, 868, 658, 383
• GCD of 735, 329, 188, 688

Given numbers are 338, 132, 315, 991
The greatest common divisor of numbers 338, 132, 315, 991 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 338, 132, 315, 991 is 1.

1. What is the GCD of 338, 132, 315, 991?

GCD of given numbers 338, 132, 315, 991 is 1

2. How to calculate the greatest common divisor of 338, 132, 315, 991?

We can find the highest common divisor of 338, 132, 315, 991 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 338, 132, 315, 991 i.e 1.

3. How can I use the GCD of 338, 132, 315, 991Calculator?

Out the numbers 338, 132, 315, 991 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.