GCD of 780, 505, 290, 360 Calculator

Given Input numbers are 780, 505, 290, 360

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

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 505 :

The positive integer divisors of 505 that completely divides 505 are.

1, 5, 101, 505

Divisors of 290 :

The positive integer divisors of 290 that completely divides 290 are.

1, 2, 5, 10, 29, 58, 145, 290

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

GCD of numbers is the greatest common divisor

So, the GCD (780, 505, 290, 360) = 5.

Given numbers are 780, 505, 290, 360

The list of prime factors of all numbers are

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

Prime factors of 505 are 5 x 101

Prime factors of 290 are 2 x 5 x 29

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

The highest common occurrence is 5¹

Therefore, GCD of 780, 505, 290, 360 is 5.

Given numbers are 780, 505, 290, 360

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

Apply this formula for all numbers.

Step1:

LCM(780, 505) = 78780

GCD(780, 505) = ( 780 x 505 ) / 78780

= 780 / 505

= 780

Step2:

LCM(5, 290) = 290

GCD(5, 290) = ( 5 x 290 ) / 290

= 5 / 290

= 5

Step3:

LCM(5, 360) = 360

GCD(5, 360) = ( 5 x 360 ) / 360

= 5 / 360

= 5

So, Greatest Common Divisor of 780, 505, 290, 360 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 915, 230, 947, 889
• GCD of 568, 925, 708, 203
• GCD of 414, 679, 891, 132
• GCD of 827, 178, 261, 134
• GCD of 328, 446, 956, 926

Given numbers are 780, 505, 290, 360
The greatest common divisor of numbers 780, 505, 290, 360 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 780, 505, 290, 360 is 5.

1. What is the GCD of 780, 505, 290, 360?

GCD of given numbers 780, 505, 290, 360 is 5

2. How to calculate the greatest common divisor of 780, 505, 290, 360?

We can find the highest common divisor of 780, 505, 290, 360 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 780, 505, 290, 360 i.e 5.

3. How can I use the GCD of 780, 505, 290, 360Calculator?

Out the numbers 780, 505, 290, 360 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.