GCD of 210, 900, 650, 278 Calculator

Given Input numbers are 210, 900, 650, 278

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

Divisors of 210 :

The positive integer divisors of 210 that completely divides 210 are.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

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 278 :

The positive integer divisors of 278 that completely divides 278 are.

1, 2, 139, 278

GCD of numbers is the greatest common divisor

So, the GCD (210, 900, 650, 278) = 2.

Given numbers are 210, 900, 650, 278

The list of prime factors of all numbers are

Prime factors of 210 are 2 x 3 x 5 x 7

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

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

Prime factors of 278 are 2 x 139

The highest common occurrence is 2¹

Therefore, GCD of 210, 900, 650, 278 is 2.

Given numbers are 210, 900, 650, 278

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

Apply this formula for all numbers.

Step1:

LCM(210, 900) = 6300

GCD(210, 900) = ( 210 x 900 ) / 6300

= 210 / 900

= 210

Step2:

LCM(30, 650) = 1950

GCD(30, 650) = ( 30 x 650 ) / 1950

= 30 / 650

= 30

Step3:

LCM(10, 278) = 1390

GCD(10, 278) = ( 10 x 278 ) / 1390

= 10 / 278

= 10

So, Greatest Common Divisor of 210, 900, 650, 278 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 597, 952, 158, 473
• GCD of 103, 602, 421, 793
• GCD of 752, 260, 973, 748
• GCD of 151, 742, 476, 845
• GCD of 622, 232, 341, 913

Given numbers are 210, 900, 650, 278
The greatest common divisor of numbers 210, 900, 650, 278 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 210, 900, 650, 278 is 2.

1. What is the GCD of 210, 900, 650, 278?

GCD of given numbers 210, 900, 650, 278 is 2

2. How to calculate the greatest common divisor of 210, 900, 650, 278?

We can find the highest common divisor of 210, 900, 650, 278 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 210, 900, 650, 278 i.e 2.

3. How can I use the GCD of 210, 900, 650, 278Calculator?

Out the numbers 210, 900, 650, 278 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.