GCD of 993, 749, 343, 270 Calculator

Given Input numbers are 993, 749, 343, 270

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

Divisors of 993 :

The positive integer divisors of 993 that completely divides 993 are.

1, 3, 331, 993

Divisors of 749 :

The positive integer divisors of 749 that completely divides 749 are.

1, 7, 107, 749

Divisors of 343 :

The positive integer divisors of 343 that completely divides 343 are.

1, 7, 49, 343

Divisors of 270 :

The positive integer divisors of 270 that completely divides 270 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

GCD of numbers is the greatest common divisor

So, the GCD (993, 749, 343, 270) = 1.

Given numbers are 993, 749, 343, 270

The list of prime factors of all numbers are

Prime factors of 993 are 3 x 331

Prime factors of 749 are 7 x 107

Prime factors of 343 are 7 x 7 x 7

Prime factors of 270 are 2 x 3 x 3 x 3 x 5

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

Given numbers are 993, 749, 343, 270

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

Apply this formula for all numbers.

Step1:

LCM(993, 749) = 743757

GCD(993, 749) = ( 993 x 749 ) / 743757

= 993 / 749

= 993

Step2:

LCM(1, 343) = 343

GCD(1, 343) = ( 1 x 343 ) / 343

= 1 / 343

= 1

Step3:

LCM(1, 270) = 270

GCD(1, 270) = ( 1 x 270 ) / 270

= 1 / 270

= 1

So, Greatest Common Divisor of 993, 749, 343, 270 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 420, 479, 860, 947
• GCD of 849, 408, 272, 409
• GCD of 139, 228, 526, 557
• GCD of 371, 355, 648, 266
• GCD of 163, 305, 846, 167

Given numbers are 993, 749, 343, 270
The greatest common divisor of numbers 993, 749, 343, 270 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 993, 749, 343, 270 is 1.

1. What is the GCD of 993, 749, 343, 270?

GCD of given numbers 993, 749, 343, 270 is 1

2. How to calculate the greatest common divisor of 993, 749, 343, 270?

We can find the highest common divisor of 993, 749, 343, 270 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 993, 749, 343, 270 i.e 1.

3. How can I use the GCD of 993, 749, 343, 270Calculator?

Out the numbers 993, 749, 343, 270 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.