GCD of 500, 965, 70, 210 Calculator

Given Input numbers are 500, 965, 70, 210

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

Divisors of 500 :

The positive integer divisors of 500 that completely divides 500 are.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 965 :

The positive integer divisors of 965 that completely divides 965 are.

1, 5, 193, 965

Divisors of 70 :

The positive integer divisors of 70 that completely divides 70 are.

1, 2, 5, 7, 10, 14, 35, 70

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

GCD of numbers is the greatest common divisor

So, the GCD (500, 965, 70, 210) = 5.

Given numbers are 500, 965, 70, 210

The list of prime factors of all numbers are

Prime factors of 500 are 2 x 2 x 5 x 5 x 5

Prime factors of 965 are 5 x 193

Prime factors of 70 are 2 x 5 x 7

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

The highest common occurrence is 5¹

Therefore, GCD of 500, 965, 70, 210 is 5.

Given numbers are 500, 965, 70, 210

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

Apply this formula for all numbers.

Step1:

LCM(500, 965) = 96500

GCD(500, 965) = ( 500 x 965 ) / 96500

= 500 / 965

= 500

Step2:

LCM(5, 70) = 70

GCD(5, 70) = ( 5 x 70 ) / 70

= 5 / 70

= 5

Step3:

LCM(5, 210) = 210

GCD(5, 210) = ( 5 x 210 ) / 210

= 5 / 210

= 5

So, Greatest Common Divisor of 500, 965, 70, 210 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 106, 712, 85, 416
• GCD of 451, 417, 98, 257
• GCD of 337, 356, 31, 457
• GCD of 323, 212, 50, 315
• GCD of 615, 582, 10, 567

Given numbers are 500, 965, 70, 210
The greatest common divisor of numbers 500, 965, 70, 210 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 500, 965, 70, 210 is 5.

1. What is the GCD of 500, 965, 70, 210?

GCD of given numbers 500, 965, 70, 210 is 5

2. How to calculate the greatest common divisor of 500, 965, 70, 210?

We can find the highest common divisor of 500, 965, 70, 210 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 500, 965, 70, 210 i.e 5.

3. How can I use the GCD of 500, 965, 70, 210Calculator?

Out the numbers 500, 965, 70, 210 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.