GCD of 210, 475, 280 Calculator

Given Input numbers are 210, 475, 280

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 475 :

The positive integer divisors of 475 that completely divides 475 are.

1, 5, 19, 25, 95, 475

Divisors of 280 :

The positive integer divisors of 280 that completely divides 280 are.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

GCD of numbers is the greatest common divisor

So, the GCD (210, 475, 280) = 5.

Given numbers are 210, 475, 280

The list of prime factors of all numbers are

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

Prime factors of 475 are 5 x 5 x 19

Prime factors of 280 are 2 x 2 x 2 x 5 x 7

The highest common occurrence is 5¹

Therefore, GCD of 210, 475, 280 is 5.

Given numbers are 210, 475, 280

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

Apply this formula for all numbers.

Step1:

LCM(210, 475) = 19950

GCD(210, 475) = ( 210 x 475 ) / 19950

= 210 / 475

= 210

Step2:

LCM(5, 280) = 280

GCD(5, 280) = ( 5 x 280 ) / 280

= 5 / 280

= 5

So, Greatest Common Divisor of 210, 475, 280 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 129, 532, 852
• GCD of 879, 792, 351
• GCD of 576, 240, 553
• GCD of 609, 540, 846
• GCD of 500, 984, 472

Given numbers are 210, 475, 280
The greatest common divisor of numbers 210, 475, 280 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 210, 475, 280 is 5.

1. What is the GCD of 210, 475, 280?

GCD of given numbers 210, 475, 280 is 5

2. How to calculate the greatest common divisor of 210, 475, 280?

We can find the highest common divisor of 210, 475, 280 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, 475, 280 i.e 5.

3. How can I use the GCD of 210, 475, 280Calculator?

Out the numbers 210, 475, 280 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.