GCD of 790, 970, 610, 510 Calculator

Given Input numbers are 790, 970, 610, 510

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

Divisors of 790 :

The positive integer divisors of 790 that completely divides 790 are.

1, 2, 5, 10, 79, 158, 395, 790

Divisors of 970 :

The positive integer divisors of 970 that completely divides 970 are.

1, 2, 5, 10, 97, 194, 485, 970

Divisors of 610 :

The positive integer divisors of 610 that completely divides 610 are.

1, 2, 5, 10, 61, 122, 305, 610

Divisors of 510 :

The positive integer divisors of 510 that completely divides 510 are.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

GCD of numbers is the greatest common divisor

So, the GCD (790, 970, 610, 510) = 10.

Given numbers are 790, 970, 610, 510

The list of prime factors of all numbers are

Prime factors of 790 are 2 x 5 x 79

Prime factors of 970 are 2 x 5 x 97

Prime factors of 610 are 2 x 5 x 61

Prime factors of 510 are 2 x 3 x 5 x 17

The highest common occurrence is 2¹ x 5¹

Therefore, GCD of 790, 970, 610, 510 is 10.

Given numbers are 790, 970, 610, 510

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

Apply this formula for all numbers.

Step1:

LCM(790, 970) = 76630

GCD(790, 970) = ( 790 x 970 ) / 76630

= 790 / 970

= 790

Step2:

LCM(10, 610) = 610

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

= 10 / 610

= 10

Step3:

LCM(10, 510) = 510

GCD(10, 510) = ( 10 x 510 ) / 510

= 10 / 510

= 10

So, Greatest Common Divisor of 790, 970, 610, 510 is 10

Here are some samples of GCD of Numbers calculations.

• GCD of 560, 477, 498, 432
• GCD of 949, 545, 218, 973
• GCD of 250, 466, 450, 649
• GCD of 871, 197, 224, 311
• GCD of 509, 417, 503, 859

Given numbers are 790, 970, 610, 510
The greatest common divisor of numbers 790, 970, 610, 510 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 790, 970, 610, 510 is 10.

1. What is the GCD of 790, 970, 610, 510?

GCD of given numbers 790, 970, 610, 510 is 10

2. How to calculate the greatest common divisor of 790, 970, 610, 510?

We can find the highest common divisor of 790, 970, 610, 510 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 790, 970, 610, 510 i.e 10.

3. How can I use the GCD of 790, 970, 610, 510Calculator?

Out the numbers 790, 970, 610, 510 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.