GCD of 378, 696, 769, 400 Calculator

Given Input numbers are 378, 696, 769, 400

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

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 696 :

The positive integer divisors of 696 that completely divides 696 are.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 769 :

The positive integer divisors of 769 that completely divides 769 are.

1, 769

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

GCD of numbers is the greatest common divisor

So, the GCD (378, 696, 769, 400) = 1.

Given numbers are 378, 696, 769, 400

The list of prime factors of all numbers are

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

Prime factors of 696 are 2 x 2 x 2 x 3 x 29

Prime factors of 769 are 769

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

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

Given numbers are 378, 696, 769, 400

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

Apply this formula for all numbers.

Step1:

LCM(378, 696) = 43848

GCD(378, 696) = ( 378 x 696 ) / 43848

= 378 / 696

= 378

Step2:

LCM(6, 769) = 4614

GCD(6, 769) = ( 6 x 769 ) / 4614

= 6 / 769

= 6

Step3:

LCM(1, 400) = 400

GCD(1, 400) = ( 1 x 400 ) / 400

= 1 / 400

= 1

So, Greatest Common Divisor of 378, 696, 769, 400 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 305, 386, 740, 543
• GCD of 536, 224, 524, 448
• GCD of 597, 801, 460, 432
• GCD of 441, 732, 278, 748
• GCD of 463, 851, 847, 822

Given numbers are 378, 696, 769, 400
The greatest common divisor of numbers 378, 696, 769, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 378, 696, 769, 400 is 1.

1. What is the GCD of 378, 696, 769, 400?

GCD of given numbers 378, 696, 769, 400 is 1

2. How to calculate the greatest common divisor of 378, 696, 769, 400?

We can find the highest common divisor of 378, 696, 769, 400 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 378, 696, 769, 400 i.e 1.

3. How can I use the GCD of 378, 696, 769, 400Calculator?

Out the numbers 378, 696, 769, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.