GCD of 299, 690, 48, 852 Calculator

Given Input numbers are 299, 690, 48, 852

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

Divisors of 299 :

The positive integer divisors of 299 that completely divides 299 are.

1, 13, 23, 299

Divisors of 690 :

The positive integer divisors of 690 that completely divides 690 are.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 48 :

The positive integer divisors of 48 that completely divides 48 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 852 :

The positive integer divisors of 852 that completely divides 852 are.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

GCD of numbers is the greatest common divisor

So, the GCD (299, 690, 48, 852) = 1.

Given numbers are 299, 690, 48, 852

The list of prime factors of all numbers are

Prime factors of 299 are 13 x 23

Prime factors of 690 are 2 x 3 x 5 x 23

Prime factors of 48 are 2 x 2 x 2 x 2 x 3

Prime factors of 852 are 2 x 2 x 3 x 71

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

Given numbers are 299, 690, 48, 852

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

Apply this formula for all numbers.

Step1:

LCM(299, 690) = 8970

GCD(299, 690) = ( 299 x 690 ) / 8970

= 299 / 690

= 299

Step2:

LCM(23, 48) = 1104

GCD(23, 48) = ( 23 x 48 ) / 1104

= 23 / 48

= 23

Step3:

LCM(1, 852) = 852

GCD(1, 852) = ( 1 x 852 ) / 852

= 1 / 852

= 1

So, Greatest Common Divisor of 299, 690, 48, 852 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 423, 918, 33, 705
• GCD of 846, 132, 10, 106
• GCD of 135, 709, 18, 369
• GCD of 768, 869, 74, 538
• GCD of 679, 285, 10, 617

Given numbers are 299, 690, 48, 852
The greatest common divisor of numbers 299, 690, 48, 852 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 299, 690, 48, 852 is 1.

1. What is the GCD of 299, 690, 48, 852?

GCD of given numbers 299, 690, 48, 852 is 1

2. How to calculate the greatest common divisor of 299, 690, 48, 852?

We can find the highest common divisor of 299, 690, 48, 852 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 299, 690, 48, 852 i.e 1.

3. How can I use the GCD of 299, 690, 48, 852Calculator?

Out the numbers 299, 690, 48, 852 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.