GCD of 990, 714, 649, 929 Calculator

Given Input numbers are 990, 714, 649, 929

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

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

Divisors of 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 649 :

The positive integer divisors of 649 that completely divides 649 are.

1, 11, 59, 649

Divisors of 929 :

The positive integer divisors of 929 that completely divides 929 are.

1, 929

GCD of numbers is the greatest common divisor

So, the GCD (990, 714, 649, 929) = 1.

Given numbers are 990, 714, 649, 929

The list of prime factors of all numbers are

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

Prime factors of 714 are 2 x 3 x 7 x 17

Prime factors of 649 are 11 x 59

Prime factors of 929 are 929

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

Given numbers are 990, 714, 649, 929

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

Apply this formula for all numbers.

Step1:

LCM(990, 714) = 117810

GCD(990, 714) = ( 990 x 714 ) / 117810

= 990 / 714

= 990

Step2:

LCM(6, 649) = 3894

GCD(6, 649) = ( 6 x 649 ) / 3894

= 6 / 649

= 6

Step3:

LCM(1, 929) = 929

GCD(1, 929) = ( 1 x 929 ) / 929

= 1 / 929

= 1

So, Greatest Common Divisor of 990, 714, 649, 929 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 328, 913, 149, 956
• GCD of 880, 398, 904, 366
• GCD of 860, 763, 219, 520
• GCD of 796, 965, 439, 499
• GCD of 578, 847, 920, 260

Given numbers are 990, 714, 649, 929
The greatest common divisor of numbers 990, 714, 649, 929 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 990, 714, 649, 929 is 1.

1. What is the GCD of 990, 714, 649, 929?

GCD of given numbers 990, 714, 649, 929 is 1

2. How to calculate the greatest common divisor of 990, 714, 649, 929?

We can find the highest common divisor of 990, 714, 649, 929 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 990, 714, 649, 929 i.e 1.

3. How can I use the GCD of 990, 714, 649, 929Calculator?

Out the numbers 990, 714, 649, 929 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.