GCD of 724, 848, 984, 522 Calculator

Given Input numbers are 724, 848, 984, 522

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

Divisors of 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

Divisors of 848 :

The positive integer divisors of 848 that completely divides 848 are.

1, 2, 4, 8, 16, 53, 106, 212, 424, 848

Divisors of 984 :

The positive integer divisors of 984 that completely divides 984 are.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 522 :

The positive integer divisors of 522 that completely divides 522 are.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

GCD of numbers is the greatest common divisor

So, the GCD (724, 848, 984, 522) = 2.

Given numbers are 724, 848, 984, 522

The list of prime factors of all numbers are

Prime factors of 724 are 2 x 2 x 181

Prime factors of 848 are 2 x 2 x 2 x 2 x 53

Prime factors of 984 are 2 x 2 x 2 x 3 x 41

Prime factors of 522 are 2 x 3 x 3 x 29

The highest common occurrence is 2¹

Therefore, GCD of 724, 848, 984, 522 is 2.

Given numbers are 724, 848, 984, 522

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

Apply this formula for all numbers.

Step1:

LCM(724, 848) = 153488

GCD(724, 848) = ( 724 x 848 ) / 153488

= 724 / 848

= 724

Step2:

LCM(4, 984) = 984

GCD(4, 984) = ( 4 x 984 ) / 984

= 4 / 984

= 4

Step3:

LCM(4, 522) = 1044

GCD(4, 522) = ( 4 x 522 ) / 1044

= 4 / 522

= 4

So, Greatest Common Divisor of 724, 848, 984, 522 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 321, 608, 279, 191
• GCD of 869, 473, 216, 457
• GCD of 920, 904, 614, 441
• GCD of 749, 977, 815, 441
• GCD of 157, 329, 194, 643

Given numbers are 724, 848, 984, 522
The greatest common divisor of numbers 724, 848, 984, 522 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 724, 848, 984, 522 is 2.

1. What is the GCD of 724, 848, 984, 522?

GCD of given numbers 724, 848, 984, 522 is 2

2. How to calculate the greatest common divisor of 724, 848, 984, 522?

We can find the highest common divisor of 724, 848, 984, 522 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 724, 848, 984, 522 i.e 2.

3. How can I use the GCD of 724, 848, 984, 522Calculator?

Out the numbers 724, 848, 984, 522 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.