GCD of 780, 225, 741, 440 Calculator

Given Input numbers are 780, 225, 741, 440

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 225 :

The positive integer divisors of 225 that completely divides 225 are.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 741 :

The positive integer divisors of 741 that completely divides 741 are.

1, 3, 13, 19, 39, 57, 247, 741

Divisors of 440 :

The positive integer divisors of 440 that completely divides 440 are.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

GCD of numbers is the greatest common divisor

So, the GCD (780, 225, 741, 440) = 1.

Given numbers are 780, 225, 741, 440

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 225 are 3 x 3 x 5 x 5

Prime factors of 741 are 3 x 13 x 19

Prime factors of 440 are 2 x 2 x 2 x 5 x 11

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

Given numbers are 780, 225, 741, 440

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

Apply this formula for all numbers.

Step1:

LCM(780, 225) = 11700

GCD(780, 225) = ( 780 x 225 ) / 11700

= 780 / 225

= 780

Step2:

LCM(15, 741) = 3705

GCD(15, 741) = ( 15 x 741 ) / 3705

= 15 / 741

= 15

Step3:

LCM(3, 440) = 1320

GCD(3, 440) = ( 3 x 440 ) / 1320

= 3 / 440

= 3

So, Greatest Common Divisor of 780, 225, 741, 440 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 962, 193, 399, 975
• GCD of 653, 708, 740, 177
• GCD of 350, 138, 346, 294
• GCD of 159, 907, 604, 116
• GCD of 100, 196, 152, 253

Given numbers are 780, 225, 741, 440
The greatest common divisor of numbers 780, 225, 741, 440 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 780, 225, 741, 440 is 1.

1. What is the GCD of 780, 225, 741, 440?

GCD of given numbers 780, 225, 741, 440 is 1

2. How to calculate the greatest common divisor of 780, 225, 741, 440?

We can find the highest common divisor of 780, 225, 741, 440 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, 225, 741, 440 i.e 1.

3. How can I use the GCD of 780, 225, 741, 440Calculator?

Out the numbers 780, 225, 741, 440 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.