GCD of 747, 957, 408, 780 Calculator

Given Input numbers are 747, 957, 408, 780

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

Divisors of 747 :

The positive integer divisors of 747 that completely divides 747 are.

1, 3, 9, 83, 249, 747

Divisors of 957 :

The positive integer divisors of 957 that completely divides 957 are.

1, 3, 11, 29, 33, 87, 319, 957

Divisors of 408 :

The positive integer divisors of 408 that completely divides 408 are.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

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

GCD of numbers is the greatest common divisor

So, the GCD (747, 957, 408, 780) = 3.

Given numbers are 747, 957, 408, 780

The list of prime factors of all numbers are

Prime factors of 747 are 3 x 3 x 83

Prime factors of 957 are 3 x 11 x 29

Prime factors of 408 are 2 x 2 x 2 x 3 x 17

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

The highest common occurrence is 3¹

Therefore, GCD of 747, 957, 408, 780 is 3.

Given numbers are 747, 957, 408, 780

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

Apply this formula for all numbers.

Step1:

LCM(747, 957) = 238293

GCD(747, 957) = ( 747 x 957 ) / 238293

= 747 / 957

= 747

Step2:

LCM(3, 408) = 408

GCD(3, 408) = ( 3 x 408 ) / 408

= 3 / 408

= 3

Step3:

LCM(3, 780) = 780

GCD(3, 780) = ( 3 x 780 ) / 780

= 3 / 780

= 3

So, Greatest Common Divisor of 747, 957, 408, 780 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 687, 851, 416, 848
• GCD of 390, 293, 306, 393
• GCD of 228, 710, 483, 297
• GCD of 308, 479, 896, 817
• GCD of 898, 304, 718, 635

Given numbers are 747, 957, 408, 780
The greatest common divisor of numbers 747, 957, 408, 780 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 747, 957, 408, 780 is 3.

1. What is the GCD of 747, 957, 408, 780?

GCD of given numbers 747, 957, 408, 780 is 3

2. How to calculate the greatest common divisor of 747, 957, 408, 780?

We can find the highest common divisor of 747, 957, 408, 780 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 747, 957, 408, 780 i.e 3.

3. How can I use the GCD of 747, 957, 408, 780Calculator?

Out the numbers 747, 957, 408, 780 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.