GCD of 420, 988, 928, 798 Calculator

Given Input numbers are 420, 988, 928, 798

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

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

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 928 :

The positive integer divisors of 928 that completely divides 928 are.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

Divisors of 798 :

The positive integer divisors of 798 that completely divides 798 are.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

GCD of numbers is the greatest common divisor

So, the GCD (420, 988, 928, 798) = 2.

Given numbers are 420, 988, 928, 798

The list of prime factors of all numbers are

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

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

Prime factors of 928 are 2 x 2 x 2 x 2 x 2 x 29

Prime factors of 798 are 2 x 3 x 7 x 19

The highest common occurrence is 2¹

Therefore, GCD of 420, 988, 928, 798 is 2.

Given numbers are 420, 988, 928, 798

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

Apply this formula for all numbers.

Step1:

LCM(420, 988) = 103740

GCD(420, 988) = ( 420 x 988 ) / 103740

= 420 / 988

= 420

Step2:

LCM(4, 928) = 928

GCD(4, 928) = ( 4 x 928 ) / 928

= 4 / 928

= 4

Step3:

LCM(4, 798) = 1596

GCD(4, 798) = ( 4 x 798 ) / 1596

= 4 / 798

= 4

So, Greatest Common Divisor of 420, 988, 928, 798 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 865, 260, 629, 474
• GCD of 723, 391, 581, 990
• GCD of 825, 732, 134, 894
• GCD of 415, 614, 163, 451
• GCD of 989, 850, 710, 301

Given numbers are 420, 988, 928, 798
The greatest common divisor of numbers 420, 988, 928, 798 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 988, 928, 798 is 2.

1. What is the GCD of 420, 988, 928, 798?

GCD of given numbers 420, 988, 928, 798 is 2

2. How to calculate the greatest common divisor of 420, 988, 928, 798?

We can find the highest common divisor of 420, 988, 928, 798 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 420, 988, 928, 798 i.e 2.

3. How can I use the GCD of 420, 988, 928, 798Calculator?

Out the numbers 420, 988, 928, 798 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.