GCD of 350, 424, 988, 522 Calculator

Given Input numbers are 350, 424, 988, 522

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

Divisors of 350 :

The positive integer divisors of 350 that completely divides 350 are.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 424 :

The positive integer divisors of 424 that completely divides 424 are.

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

Divisors of 988 :

The positive integer divisors of 988 that completely divides 988 are.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

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 (350, 424, 988, 522) = 2.

Given numbers are 350, 424, 988, 522

The list of prime factors of all numbers are

Prime factors of 350 are 2 x 5 x 5 x 7

Prime factors of 424 are 2 x 2 x 2 x 53

Prime factors of 988 are 2 x 2 x 13 x 19

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

The highest common occurrence is 2¹

Therefore, GCD of 350, 424, 988, 522 is 2.

Given numbers are 350, 424, 988, 522

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

Apply this formula for all numbers.

Step1:

LCM(350, 424) = 74200

GCD(350, 424) = ( 350 x 424 ) / 74200

= 350 / 424

= 350

Step2:

LCM(2, 988) = 988

GCD(2, 988) = ( 2 x 988 ) / 988

= 2 / 988

= 2

Step3:

LCM(2, 522) = 522

GCD(2, 522) = ( 2 x 522 ) / 522

= 2 / 522

= 2

So, Greatest Common Divisor of 350, 424, 988, 522 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 636, 449, 174, 621
• GCD of 527, 810, 156, 733
• GCD of 265, 771, 880, 959
• GCD of 544, 502, 508, 181
• GCD of 800, 259, 919, 196

Given numbers are 350, 424, 988, 522
The greatest common divisor of numbers 350, 424, 988, 522 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 350, 424, 988, 522 is 2.

1. What is the GCD of 350, 424, 988, 522?

GCD of given numbers 350, 424, 988, 522 is 2

2. How to calculate the greatest common divisor of 350, 424, 988, 522?

We can find the highest common divisor of 350, 424, 988, 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 350, 424, 988, 522 i.e 2.

3. How can I use the GCD of 350, 424, 988, 522Calculator?

Out the numbers 350, 424, 988, 522 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.