GCD of 890, 650, 305, 420 Calculator

Given Input numbers are 890, 650, 305, 420

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

Divisors of 890 :

The positive integer divisors of 890 that completely divides 890 are.

1, 2, 5, 10, 89, 178, 445, 890

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 305 :

The positive integer divisors of 305 that completely divides 305 are.

1, 5, 61, 305

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 (890, 650, 305, 420) = 5.

Given numbers are 890, 650, 305, 420

The list of prime factors of all numbers are

Prime factors of 890 are 2 x 5 x 89

Prime factors of 650 are 2 x 5 x 5 x 13

Prime factors of 305 are 5 x 61

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

The highest common occurrence is 5¹

Therefore, GCD of 890, 650, 305, 420 is 5.

Given numbers are 890, 650, 305, 420

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

Apply this formula for all numbers.

Step1:

LCM(890, 650) = 57850

GCD(890, 650) = ( 890 x 650 ) / 57850

= 890 / 650

= 890

Step2:

LCM(10, 305) = 610

GCD(10, 305) = ( 10 x 305 ) / 610

= 10 / 305

= 10

Step3:

LCM(5, 420) = 420

GCD(5, 420) = ( 5 x 420 ) / 420

= 5 / 420

= 5

So, Greatest Common Divisor of 890, 650, 305, 420 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 972, 542, 922, 516
• GCD of 367, 589, 111, 745
• GCD of 748, 565, 448, 171
• GCD of 411, 768, 307, 289
• GCD of 602, 927, 332, 574

Given numbers are 890, 650, 305, 420
The greatest common divisor of numbers 890, 650, 305, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 890, 650, 305, 420 is 5.

1. What is the GCD of 890, 650, 305, 420?

GCD of given numbers 890, 650, 305, 420 is 5

2. How to calculate the greatest common divisor of 890, 650, 305, 420?

We can find the highest common divisor of 890, 650, 305, 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 890, 650, 305, 420 i.e 5.

3. How can I use the GCD of 890, 650, 305, 420Calculator?

Out the numbers 890, 650, 305, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.