GCD of 785, 780, 295, 420 Calculator

Given Input numbers are 785, 780, 295, 420

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

Divisors of 785 :

The positive integer divisors of 785 that completely divides 785 are.

1, 5, 157, 785

Divisors of 780 :

The positive integer divisors of 780 that completely divides 780 are.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 295 :

The positive integer divisors of 295 that completely divides 295 are.

1, 5, 59, 295

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

GCD of numbers is the greatest common divisor

So, the GCD (785, 780, 295, 420) = 5.

Given numbers are 785, 780, 295, 420

The list of prime factors of all numbers are

Prime factors of 785 are 5 x 157

Prime factors of 780 are 2 x 2 x 3 x 5 x 13

Prime factors of 295 are 5 x 59

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

The highest common occurrence is 5¹

Therefore, GCD of 785, 780, 295, 420 is 5.

Given numbers are 785, 780, 295, 420

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

Apply this formula for all numbers.

Step1:

LCM(785, 780) = 122460

GCD(785, 780) = ( 785 x 780 ) / 122460

= 785 / 780

= 785

Step2:

LCM(5, 295) = 295

GCD(5, 295) = ( 5 x 295 ) / 295

= 5 / 295

= 5

Step3:

LCM(5, 420) = 420

GCD(5, 420) = ( 5 x 420 ) / 420

= 5 / 420

= 5

So, Greatest Common Divisor of 785, 780, 295, 420 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 655, 890, 313, 217
• GCD of 278, 561, 170, 210
• GCD of 127, 431, 992, 391
• GCD of 441, 276, 438, 940
• GCD of 634, 978, 225, 233

Given numbers are 785, 780, 295, 420
The greatest common divisor of numbers 785, 780, 295, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 785, 780, 295, 420 is 5.

1. What is the GCD of 785, 780, 295, 420?

GCD of given numbers 785, 780, 295, 420 is 5

2. How to calculate the greatest common divisor of 785, 780, 295, 420?

We can find the highest common divisor of 785, 780, 295, 420 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 785, 780, 295, 420 i.e 5.

3. How can I use the GCD of 785, 780, 295, 420Calculator?

Out the numbers 785, 780, 295, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.