GCD of 128, 276, 498, 420 Calculator

Given Input numbers are 128, 276, 498, 420

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

Divisors of 128 :

The positive integer divisors of 128 that completely divides 128 are.

1, 2, 4, 8, 16, 32, 64, 128

Divisors of 276 :

The positive integer divisors of 276 that completely divides 276 are.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

Divisors of 498 :

The positive integer divisors of 498 that completely divides 498 are.

1, 2, 3, 6, 83, 166, 249, 498

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

GCD of numbers is the greatest common divisor

So, the GCD (128, 276, 498, 420) = 2.

Given numbers are 128, 276, 498, 420

The list of prime factors of all numbers are

Prime factors of 128 are 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime factors of 276 are 2 x 2 x 3 x 23

Prime factors of 498 are 2 x 3 x 83

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

The highest common occurrence is 2¹

Therefore, GCD of 128, 276, 498, 420 is 2.

Given numbers are 128, 276, 498, 420

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

Apply this formula for all numbers.

Step1:

LCM(128, 276) = 8832

GCD(128, 276) = ( 128 x 276 ) / 8832

= 128 / 276

= 128

Step2:

LCM(4, 498) = 996

GCD(4, 498) = ( 4 x 498 ) / 996

= 4 / 498

= 4

Step3:

LCM(2, 420) = 420

GCD(2, 420) = ( 2 x 420 ) / 420

= 2 / 420

= 2

So, Greatest Common Divisor of 128, 276, 498, 420 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 182, 921, 695, 123
• GCD of 822, 810, 175, 186
• GCD of 384, 585, 713, 127
• GCD of 622, 806, 632, 217
• GCD of 424, 693, 266, 764

Given numbers are 128, 276, 498, 420
The greatest common divisor of numbers 128, 276, 498, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 128, 276, 498, 420 is 2.

1. What is the GCD of 128, 276, 498, 420?

GCD of given numbers 128, 276, 498, 420 is 2

2. How to calculate the greatest common divisor of 128, 276, 498, 420?

We can find the highest common divisor of 128, 276, 498, 420 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 128, 276, 498, 420 i.e 2.

3. How can I use the GCD of 128, 276, 498, 420Calculator?

Out the numbers 128, 276, 498, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.