GCD of 878, 828, 988, 420 Calculator

Given Input numbers are 878, 828, 988, 420

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

Divisors of 878 :

The positive integer divisors of 878 that completely divides 878 are.

1, 2, 439, 878

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

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 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 (878, 828, 988, 420) = 2.

Given numbers are 878, 828, 988, 420

The list of prime factors of all numbers are

Prime factors of 878 are 2 x 439

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

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

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

The highest common occurrence is 2¹

Therefore, GCD of 878, 828, 988, 420 is 2.

Given numbers are 878, 828, 988, 420

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

Apply this formula for all numbers.

Step1:

LCM(878, 828) = 363492

GCD(878, 828) = ( 878 x 828 ) / 363492

= 878 / 828

= 878

Step2:

LCM(2, 988) = 988

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

= 2 / 988

= 2

Step3:

LCM(2, 420) = 420

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

= 2 / 420

= 2

So, Greatest Common Divisor of 878, 828, 988, 420 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 883, 289, 185, 121
• GCD of 775, 749, 514, 179
• GCD of 871, 326, 299, 915
• GCD of 781, 753, 563, 408
• GCD of 662, 779, 588, 833

Given numbers are 878, 828, 988, 420
The greatest common divisor of numbers 878, 828, 988, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 878, 828, 988, 420 is 2.

1. What is the GCD of 878, 828, 988, 420?

GCD of given numbers 878, 828, 988, 420 is 2

2. How to calculate the greatest common divisor of 878, 828, 988, 420?

We can find the highest common divisor of 878, 828, 988, 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 878, 828, 988, 420 i.e 2.

3. How can I use the GCD of 878, 828, 988, 420Calculator?

Out the numbers 878, 828, 988, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.