GCD of 104, 728, 780, 374 Calculator

Given Input numbers are 104, 728, 780, 374

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

Divisors of 104 :

The positive integer divisors of 104 that completely divides 104 are.

1, 2, 4, 8, 13, 26, 52, 104

Divisors of 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

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 374 :

The positive integer divisors of 374 that completely divides 374 are.

1, 2, 11, 17, 22, 34, 187, 374

GCD of numbers is the greatest common divisor

So, the GCD (104, 728, 780, 374) = 2.

Given numbers are 104, 728, 780, 374

The list of prime factors of all numbers are

Prime factors of 104 are 2 x 2 x 2 x 13

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

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

Prime factors of 374 are 2 x 11 x 17

The highest common occurrence is 2¹

Therefore, GCD of 104, 728, 780, 374 is 2.

Given numbers are 104, 728, 780, 374

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

Apply this formula for all numbers.

Step1:

LCM(104, 728) = 728

GCD(104, 728) = ( 104 x 728 ) / 728

= 104 / 728

= 104

Step2:

LCM(104, 780) = 1560

GCD(104, 780) = ( 104 x 780 ) / 1560

= 104 / 780

= 104

Step3:

LCM(52, 374) = 9724

GCD(52, 374) = ( 52 x 374 ) / 9724

= 52 / 374

= 52

So, Greatest Common Divisor of 104, 728, 780, 374 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 546, 293, 190, 817
• GCD of 756, 293, 902, 464
• GCD of 296, 768, 592, 981
• GCD of 696, 804, 218, 781
• GCD of 482, 141, 306, 292

Given numbers are 104, 728, 780, 374
The greatest common divisor of numbers 104, 728, 780, 374 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 104, 728, 780, 374 is 2.

1. What is the GCD of 104, 728, 780, 374?

GCD of given numbers 104, 728, 780, 374 is 2

2. How to calculate the greatest common divisor of 104, 728, 780, 374?

We can find the highest common divisor of 104, 728, 780, 374 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 104, 728, 780, 374 i.e 2.

3. How can I use the GCD of 104, 728, 780, 374Calculator?

Out the numbers 104, 728, 780, 374 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.