GCD of 584, 708, 70, 509 Calculator

Given Input numbers are 584, 708, 70, 509

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

Divisors of 584 :

The positive integer divisors of 584 that completely divides 584 are.

1, 2, 4, 8, 73, 146, 292, 584

Divisors of 708 :

The positive integer divisors of 708 that completely divides 708 are.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 70 :

The positive integer divisors of 70 that completely divides 70 are.

1, 2, 5, 7, 10, 14, 35, 70

Divisors of 509 :

The positive integer divisors of 509 that completely divides 509 are.

1, 509

GCD of numbers is the greatest common divisor

So, the GCD (584, 708, 70, 509) = 1.

Given numbers are 584, 708, 70, 509

The list of prime factors of all numbers are

Prime factors of 584 are 2 x 2 x 2 x 73

Prime factors of 708 are 2 x 2 x 3 x 59

Prime factors of 70 are 2 x 5 x 7

Prime factors of 509 are 509

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

Given numbers are 584, 708, 70, 509

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

Apply this formula for all numbers.

Step1:

LCM(584, 708) = 103368

GCD(584, 708) = ( 584 x 708 ) / 103368

= 584 / 708

= 584

Step2:

LCM(4, 70) = 140

GCD(4, 70) = ( 4 x 70 ) / 140

= 4 / 70

= 4

Step3:

LCM(2, 509) = 1018

GCD(2, 509) = ( 2 x 509 ) / 1018

= 2 / 509

= 2

So, Greatest Common Divisor of 584, 708, 70, 509 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 398, 717, 39, 605
• GCD of 677, 727, 68, 601
• GCD of 705, 127, 34, 166
• GCD of 272, 871, 59, 888
• GCD of 137, 352, 72, 153

Given numbers are 584, 708, 70, 509
The greatest common divisor of numbers 584, 708, 70, 509 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 584, 708, 70, 509 is 1.

1. What is the GCD of 584, 708, 70, 509?

GCD of given numbers 584, 708, 70, 509 is 1

2. How to calculate the greatest common divisor of 584, 708, 70, 509?

We can find the highest common divisor of 584, 708, 70, 509 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 584, 708, 70, 509 i.e 1.

3. How can I use the GCD of 584, 708, 70, 509Calculator?

Out the numbers 584, 708, 70, 509 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.