GCD of 790, 706, 428, 240 Calculator

Given Input numbers are 790, 706, 428, 240

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 706 :

The positive integer divisors of 706 that completely divides 706 are.

1, 2, 353, 706

Divisors of 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

Divisors of 240 :

The positive integer divisors of 240 that completely divides 240 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

GCD of numbers is the greatest common divisor

So, the GCD (790, 706, 428, 240) = 2.

Given numbers are 790, 706, 428, 240

The list of prime factors of all numbers are

Prime factors of 790 are 2 x 5 x 79

Prime factors of 706 are 2 x 353

Prime factors of 428 are 2 x 2 x 107

Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5

The highest common occurrence is 2¹

Therefore, GCD of 790, 706, 428, 240 is 2.

Given numbers are 790, 706, 428, 240

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

Apply this formula for all numbers.

Step1:

LCM(790, 706) = 278870

GCD(790, 706) = ( 790 x 706 ) / 278870

= 790 / 706

= 790

Step2:

LCM(2, 428) = 428

GCD(2, 428) = ( 2 x 428 ) / 428

= 2 / 428

= 2

Step3:

LCM(2, 240) = 240

GCD(2, 240) = ( 2 x 240 ) / 240

= 2 / 240

= 2

So, Greatest Common Divisor of 790, 706, 428, 240 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 219, 839, 982, 226
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• GCD of 176, 571, 503, 902

Given numbers are 790, 706, 428, 240
The greatest common divisor of numbers 790, 706, 428, 240 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 790, 706, 428, 240 is 2.

1. What is the GCD of 790, 706, 428, 240?

GCD of given numbers 790, 706, 428, 240 is 2

2. How to calculate the greatest common divisor of 790, 706, 428, 240?

We can find the highest common divisor of 790, 706, 428, 240 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, 706, 428, 240 i.e 2.

3. How can I use the GCD of 790, 706, 428, 240Calculator?

Out the numbers 790, 706, 428, 240 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.