GCD of 424, 988, 674, 314 Calculator

Given Input numbers are 424, 988, 674, 314

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

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 674 :

The positive integer divisors of 674 that completely divides 674 are.

1, 2, 337, 674

Divisors of 314 :

The positive integer divisors of 314 that completely divides 314 are.

1, 2, 157, 314

GCD of numbers is the greatest common divisor

So, the GCD (424, 988, 674, 314) = 2.

Given numbers are 424, 988, 674, 314

The list of prime factors of all numbers are

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 674 are 2 x 337

Prime factors of 314 are 2 x 157

The highest common occurrence is 2¹

Therefore, GCD of 424, 988, 674, 314 is 2.

Given numbers are 424, 988, 674, 314

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

Apply this formula for all numbers.

Step1:

LCM(424, 988) = 104728

GCD(424, 988) = ( 424 x 988 ) / 104728

= 424 / 988

= 424

Step2:

LCM(4, 674) = 1348

GCD(4, 674) = ( 4 x 674 ) / 1348

= 4 / 674

= 4

Step3:

LCM(2, 314) = 314

GCD(2, 314) = ( 2 x 314 ) / 314

= 2 / 314

= 2

So, Greatest Common Divisor of 424, 988, 674, 314 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 282, 404, 658, 750
• GCD of 373, 280, 483, 859
• GCD of 314, 909, 274, 973
• GCD of 720, 405, 926, 776
• GCD of 634, 642, 759, 652

Given numbers are 424, 988, 674, 314
The greatest common divisor of numbers 424, 988, 674, 314 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 424, 988, 674, 314 is 2.

1. What is the GCD of 424, 988, 674, 314?

GCD of given numbers 424, 988, 674, 314 is 2

2. How to calculate the greatest common divisor of 424, 988, 674, 314?

We can find the highest common divisor of 424, 988, 674, 314 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 424, 988, 674, 314 i.e 2.

3. How can I use the GCD of 424, 988, 674, 314Calculator?

Out the numbers 424, 988, 674, 314 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.