GCD of 530, 516, 690, 758 Calculator

Given Input numbers are 530, 516, 690, 758

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

Divisors of 530 :

The positive integer divisors of 530 that completely divides 530 are.

1, 2, 5, 10, 53, 106, 265, 530

Divisors of 516 :

The positive integer divisors of 516 that completely divides 516 are.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

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 758 :

The positive integer divisors of 758 that completely divides 758 are.

1, 2, 379, 758

GCD of numbers is the greatest common divisor

So, the GCD (530, 516, 690, 758) = 2.

Given numbers are 530, 516, 690, 758

The list of prime factors of all numbers are

Prime factors of 530 are 2 x 5 x 53

Prime factors of 516 are 2 x 2 x 3 x 43

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

Prime factors of 758 are 2 x 379

The highest common occurrence is 2¹

Therefore, GCD of 530, 516, 690, 758 is 2.

Given numbers are 530, 516, 690, 758

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

Apply this formula for all numbers.

Step1:

LCM(530, 516) = 136740

GCD(530, 516) = ( 530 x 516 ) / 136740

= 530 / 516

= 530

Step2:

LCM(2, 690) = 690

GCD(2, 690) = ( 2 x 690 ) / 690

= 2 / 690

= 2

Step3:

LCM(2, 758) = 758

GCD(2, 758) = ( 2 x 758 ) / 758

= 2 / 758

= 2

So, Greatest Common Divisor of 530, 516, 690, 758 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 590, 480, 166, 471
• GCD of 300, 595, 208, 455
• GCD of 292, 138, 748, 253
• GCD of 983, 686, 772, 663
• GCD of 802, 433, 923, 741

Given numbers are 530, 516, 690, 758
The greatest common divisor of numbers 530, 516, 690, 758 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 530, 516, 690, 758 is 2.

1. What is the GCD of 530, 516, 690, 758?

GCD of given numbers 530, 516, 690, 758 is 2

2. How to calculate the greatest common divisor of 530, 516, 690, 758?

We can find the highest common divisor of 530, 516, 690, 758 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 530, 516, 690, 758 i.e 2.

3. How can I use the GCD of 530, 516, 690, 758Calculator?

Out the numbers 530, 516, 690, 758 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.