GCD of 343, 268, 349, 990 Calculator

Given Input numbers are 343, 268, 349, 990

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

Divisors of 343 :

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

1, 7, 49, 343

Divisors of 268 :

The positive integer divisors of 268 that completely divides 268 are.

1, 2, 4, 67, 134, 268

Divisors of 349 :

The positive integer divisors of 349 that completely divides 349 are.

1, 349

Divisors of 990 :

The positive integer divisors of 990 that completely divides 990 are.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

GCD of numbers is the greatest common divisor

So, the GCD (343, 268, 349, 990) = 1.

Given numbers are 343, 268, 349, 990

The list of prime factors of all numbers are

Prime factors of 343 are 7 x 7 x 7

Prime factors of 268 are 2 x 2 x 67

Prime factors of 349 are 349

Prime factors of 990 are 2 x 3 x 3 x 5 x 11

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

Given numbers are 343, 268, 349, 990

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

Apply this formula for all numbers.

Step1:

LCM(343, 268) = 91924

GCD(343, 268) = ( 343 x 268 ) / 91924

= 343 / 268

= 343

Step2:

LCM(1, 349) = 349

GCD(1, 349) = ( 1 x 349 ) / 349

= 1 / 349

= 1

Step3:

LCM(1, 990) = 990

GCD(1, 990) = ( 1 x 990 ) / 990

= 1 / 990

= 1

So, Greatest Common Divisor of 343, 268, 349, 990 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 360, 736, 188, 669
• GCD of 877, 773, 484, 749
• GCD of 882, 512, 127, 938
• GCD of 837, 205, 356, 690
• GCD of 417, 901, 499, 276

Given numbers are 343, 268, 349, 990
The greatest common divisor of numbers 343, 268, 349, 990 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 343, 268, 349, 990 is 1.

1. What is the GCD of 343, 268, 349, 990?

GCD of given numbers 343, 268, 349, 990 is 1

2. How to calculate the greatest common divisor of 343, 268, 349, 990?

We can find the highest common divisor of 343, 268, 349, 990 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 343, 268, 349, 990 i.e 1.

3. How can I use the GCD of 343, 268, 349, 990Calculator?

Out the numbers 343, 268, 349, 990 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.