GCD of 756, 343, 894, 780 Calculator

Given Input numbers are 756, 343, 894, 780

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

Divisors of 756 :

The positive integer divisors of 756 that completely divides 756 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 343 :

The positive integer divisors of 343 that completely divides 343 are.

1, 7, 49, 343

Divisors of 894 :

The positive integer divisors of 894 that completely divides 894 are.

1, 2, 3, 6, 149, 298, 447, 894

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 (756, 343, 894, 780) = 1.

Given numbers are 756, 343, 894, 780

The list of prime factors of all numbers are

Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7

Prime factors of 343 are 7 x 7 x 7

Prime factors of 894 are 2 x 3 x 149

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

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

Given numbers are 756, 343, 894, 780

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

Apply this formula for all numbers.

Step1:

LCM(756, 343) = 37044

GCD(756, 343) = ( 756 x 343 ) / 37044

= 756 / 343

= 756

Step2:

LCM(7, 894) = 6258

GCD(7, 894) = ( 7 x 894 ) / 6258

= 7 / 894

= 7

Step3:

LCM(1, 780) = 780

GCD(1, 780) = ( 1 x 780 ) / 780

= 1 / 780

= 1

So, Greatest Common Divisor of 756, 343, 894, 780 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 449, 945, 823, 419
• GCD of 578, 115, 169, 295
• GCD of 895, 133, 391, 414
• GCD of 373, 840, 539, 140
• GCD of 888, 329, 195, 592

Given numbers are 756, 343, 894, 780
The greatest common divisor of numbers 756, 343, 894, 780 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 756, 343, 894, 780 is 1.

1. What is the GCD of 756, 343, 894, 780?

GCD of given numbers 756, 343, 894, 780 is 1

2. How to calculate the greatest common divisor of 756, 343, 894, 780?

We can find the highest common divisor of 756, 343, 894, 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 756, 343, 894, 780 i.e 1.

3. How can I use the GCD of 756, 343, 894, 780Calculator?

Out the numbers 756, 343, 894, 780 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.