GCD of 988, 428, 76, 562 Calculator

Given Input numbers are 988, 428, 76, 562

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

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 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

Divisors of 76 :

The positive integer divisors of 76 that completely divides 76 are.

1, 2, 4, 19, 38, 76

Divisors of 562 :

The positive integer divisors of 562 that completely divides 562 are.

1, 2, 281, 562

GCD of numbers is the greatest common divisor

So, the GCD (988, 428, 76, 562) = 2.

Given numbers are 988, 428, 76, 562

The list of prime factors of all numbers are

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

Prime factors of 428 are 2 x 2 x 107

Prime factors of 76 are 2 x 2 x 19

Prime factors of 562 are 2 x 281

The highest common occurrence is 2¹

Therefore, GCD of 988, 428, 76, 562 is 2.

Given numbers are 988, 428, 76, 562

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

Apply this formula for all numbers.

Step1:

LCM(988, 428) = 105716

GCD(988, 428) = ( 988 x 428 ) / 105716

= 988 / 428

= 988

Step2:

LCM(4, 76) = 76

GCD(4, 76) = ( 4 x 76 ) / 76

= 4 / 76

= 4

Step3:

LCM(4, 562) = 1124

GCD(4, 562) = ( 4 x 562 ) / 1124

= 4 / 562

= 4

So, Greatest Common Divisor of 988, 428, 76, 562 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 900, 602, 83, 217
• GCD of 123, 310, 75, 126
• GCD of 647, 313, 58, 529
• GCD of 857, 815, 27, 113
• GCD of 712, 706, 40, 440

Given numbers are 988, 428, 76, 562
The greatest common divisor of numbers 988, 428, 76, 562 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 988, 428, 76, 562 is 2.

1. What is the GCD of 988, 428, 76, 562?

GCD of given numbers 988, 428, 76, 562 is 2

2. How to calculate the greatest common divisor of 988, 428, 76, 562?

We can find the highest common divisor of 988, 428, 76, 562 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 988, 428, 76, 562 i.e 2.

3. How can I use the GCD of 988, 428, 76, 562Calculator?

Out the numbers 988, 428, 76, 562 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.