GCD of 420, 650, 878, 928 Calculator

Given Input numbers are 420, 650, 878, 928

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 650 :

The positive integer divisors of 650 that completely divides 650 are.

1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

Divisors of 878 :

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

1, 2, 439, 878

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

GCD of numbers is the greatest common divisor

So, the GCD (420, 650, 878, 928) = 2.

Given numbers are 420, 650, 878, 928

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 650 are 2 x 5 x 5 x 13

Prime factors of 878 are 2 x 439

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

The highest common occurrence is 2¹

Therefore, GCD of 420, 650, 878, 928 is 2.

Given numbers are 420, 650, 878, 928

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

Apply this formula for all numbers.

Step1:

LCM(420, 650) = 27300

GCD(420, 650) = ( 420 x 650 ) / 27300

= 420 / 650

= 420

Step2:

LCM(10, 878) = 4390

GCD(10, 878) = ( 10 x 878 ) / 4390

= 10 / 878

= 10

Step3:

LCM(2, 928) = 928

GCD(2, 928) = ( 2 x 928 ) / 928

= 2 / 928

= 2

So, Greatest Common Divisor of 420, 650, 878, 928 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 972, 308, 942, 563
• GCD of 892, 811, 347, 120
• GCD of 922, 454, 313, 308
• GCD of 725, 468, 255, 755
• GCD of 829, 320, 603, 496

Given numbers are 420, 650, 878, 928
The greatest common divisor of numbers 420, 650, 878, 928 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 650, 878, 928 is 2.

1. What is the GCD of 420, 650, 878, 928?

GCD of given numbers 420, 650, 878, 928 is 2

2. How to calculate the greatest common divisor of 420, 650, 878, 928?

We can find the highest common divisor of 420, 650, 878, 928 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, 650, 878, 928 i.e 2.

3. How can I use the GCD of 420, 650, 878, 928Calculator?

Out the numbers 420, 650, 878, 928 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.