GCD of 470, 242, 820, 709 Calculator

Given Input numbers are 470, 242, 820, 709

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

Divisors of 470 :

The positive integer divisors of 470 that completely divides 470 are.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 242 :

The positive integer divisors of 242 that completely divides 242 are.

1, 2, 11, 22, 121, 242

Divisors of 820 :

The positive integer divisors of 820 that completely divides 820 are.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 709 :

The positive integer divisors of 709 that completely divides 709 are.

1, 709

GCD of numbers is the greatest common divisor

So, the GCD (470, 242, 820, 709) = 1.

Given numbers are 470, 242, 820, 709

The list of prime factors of all numbers are

Prime factors of 470 are 2 x 5 x 47

Prime factors of 242 are 2 x 11 x 11

Prime factors of 820 are 2 x 2 x 5 x 41

Prime factors of 709 are 709

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 470, 242, 820, 709

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

Apply this formula for all numbers.

Step1:

LCM(470, 242) = 56870

GCD(470, 242) = ( 470 x 242 ) / 56870

= 470 / 242

= 470

Step2:

LCM(2, 820) = 820

GCD(2, 820) = ( 2 x 820 ) / 820

= 2 / 820

= 2

Step3:

LCM(2, 709) = 1418

GCD(2, 709) = ( 2 x 709 ) / 1418

= 2 / 709

= 2

So, Greatest Common Divisor of 470, 242, 820, 709 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 737, 608, 568, 860
• GCD of 376, 458, 493, 185
• GCD of 365, 303, 500, 895
• GCD of 344, 953, 980, 625
• GCD of 167, 620, 108, 878

Given numbers are 470, 242, 820, 709
The greatest common divisor of numbers 470, 242, 820, 709 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 470, 242, 820, 709 is 1.

1. What is the GCD of 470, 242, 820, 709?

GCD of given numbers 470, 242, 820, 709 is 1

2. How to calculate the greatest common divisor of 470, 242, 820, 709?

We can find the highest common divisor of 470, 242, 820, 709 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 470, 242, 820, 709 i.e 1.

3. How can I use the GCD of 470, 242, 820, 709Calculator?

Out the numbers 470, 242, 820, 709 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.