GCD of 869, 658, 714, 990 Calculator

Given Input numbers are 869, 658, 714, 990

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

Divisors of 869 :

The positive integer divisors of 869 that completely divides 869 are.

1, 11, 79, 869

Divisors of 658 :

The positive integer divisors of 658 that completely divides 658 are.

1, 2, 7, 14, 47, 94, 329, 658

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 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 (869, 658, 714, 990) = 1.

Given numbers are 869, 658, 714, 990

The list of prime factors of all numbers are

Prime factors of 869 are 11 x 79

Prime factors of 658 are 2 x 7 x 47

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

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 869, 658, 714, 990

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

Apply this formula for all numbers.

Step1:

LCM(869, 658) = 571802

GCD(869, 658) = ( 869 x 658 ) / 571802

= 869 / 658

= 869

Step2:

LCM(1, 714) = 714

GCD(1, 714) = ( 1 x 714 ) / 714

= 1 / 714

= 1

Step3:

LCM(1, 990) = 990

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

= 1 / 990

= 1

So, Greatest Common Divisor of 869, 658, 714, 990 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 696, 611, 244, 275
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• GCD of 956, 598, 472, 860

Given numbers are 869, 658, 714, 990
The greatest common divisor of numbers 869, 658, 714, 990 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 869, 658, 714, 990 is 1.

1. What is the GCD of 869, 658, 714, 990?

GCD of given numbers 869, 658, 714, 990 is 1

2. How to calculate the greatest common divisor of 869, 658, 714, 990?

We can find the highest common divisor of 869, 658, 714, 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 869, 658, 714, 990 i.e 1.

3. How can I use the GCD of 869, 658, 714, 990Calculator?

Out the numbers 869, 658, 714, 990 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.