GCD of 421, 714, 527, 398 Calculator

Given Input numbers are 421, 714, 527, 398

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

Divisors of 421 :

The positive integer divisors of 421 that completely divides 421 are.

1, 421

Divisors of 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 527 :

The positive integer divisors of 527 that completely divides 527 are.

1, 17, 31, 527

Divisors of 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398

GCD of numbers is the greatest common divisor

So, the GCD (421, 714, 527, 398) = 1.

Given numbers are 421, 714, 527, 398

The list of prime factors of all numbers are

Prime factors of 421 are 421

Prime factors of 714 are 2 x 3 x 7 x 17

Prime factors of 527 are 17 x 31

Prime factors of 398 are 2 x 199

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

Given numbers are 421, 714, 527, 398

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

Apply this formula for all numbers.

Step1:

LCM(421, 714) = 300594

GCD(421, 714) = ( 421 x 714 ) / 300594

= 421 / 714

= 421

Step2:

LCM(1, 527) = 527

GCD(1, 527) = ( 1 x 527 ) / 527

= 1 / 527

= 1

Step3:

LCM(1, 398) = 398

GCD(1, 398) = ( 1 x 398 ) / 398

= 1 / 398

= 1

So, Greatest Common Divisor of 421, 714, 527, 398 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 299, 266, 964, 910
• GCD of 610, 241, 534, 198
• GCD of 212, 231, 388, 817
• GCD of 282, 771, 400, 965
• GCD of 873, 673, 791, 781

Given numbers are 421, 714, 527, 398
The greatest common divisor of numbers 421, 714, 527, 398 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 421, 714, 527, 398 is 1.

1. What is the GCD of 421, 714, 527, 398?

GCD of given numbers 421, 714, 527, 398 is 1

2. How to calculate the greatest common divisor of 421, 714, 527, 398?

We can find the highest common divisor of 421, 714, 527, 398 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 421, 714, 527, 398 i.e 1.

3. How can I use the GCD of 421, 714, 527, 398Calculator?

Out the numbers 421, 714, 527, 398 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.