GCD of 378, 712, 689, 431 Calculator

Given Input numbers are 378, 712, 689, 431

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 712 :

The positive integer divisors of 712 that completely divides 712 are.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689

Divisors of 431 :

The positive integer divisors of 431 that completely divides 431 are.

1, 431

GCD of numbers is the greatest common divisor

So, the GCD (378, 712, 689, 431) = 1.

Given numbers are 378, 712, 689, 431

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 712 are 2 x 2 x 2 x 89

Prime factors of 689 are 13 x 53

Prime factors of 431 are 431

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

Given numbers are 378, 712, 689, 431

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

Apply this formula for all numbers.

Step1:

LCM(378, 712) = 134568

GCD(378, 712) = ( 378 x 712 ) / 134568

= 378 / 712

= 378

Step2:

LCM(2, 689) = 1378

GCD(2, 689) = ( 2 x 689 ) / 1378

= 2 / 689

= 2

Step3:

LCM(1, 431) = 431

GCD(1, 431) = ( 1 x 431 ) / 431

= 1 / 431

= 1

So, Greatest Common Divisor of 378, 712, 689, 431 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 190, 442, 861, 849
• GCD of 951, 569, 627, 613
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• GCD of 652, 198, 330, 918
• GCD of 687, 458, 480, 519

Given numbers are 378, 712, 689, 431
The greatest common divisor of numbers 378, 712, 689, 431 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 378, 712, 689, 431 is 1.

1. What is the GCD of 378, 712, 689, 431?

GCD of given numbers 378, 712, 689, 431 is 1

2. How to calculate the greatest common divisor of 378, 712, 689, 431?

We can find the highest common divisor of 378, 712, 689, 431 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, 712, 689, 431 i.e 1.

3. How can I use the GCD of 378, 712, 689, 431Calculator?

Out the numbers 378, 712, 689, 431 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.