GCD of 314, 882, 425, 420 Calculator

Given Input numbers are 314, 882, 425, 420

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

Divisors of 314 :

The positive integer divisors of 314 that completely divides 314 are.

1, 2, 157, 314

Divisors of 882 :

The positive integer divisors of 882 that completely divides 882 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

Divisors of 425 :

The positive integer divisors of 425 that completely divides 425 are.

1, 5, 17, 25, 85, 425

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

GCD of numbers is the greatest common divisor

So, the GCD (314, 882, 425, 420) = 1.

Given numbers are 314, 882, 425, 420

The list of prime factors of all numbers are

Prime factors of 314 are 2 x 157

Prime factors of 882 are 2 x 3 x 3 x 7 x 7

Prime factors of 425 are 5 x 5 x 17

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

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

Given numbers are 314, 882, 425, 420

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

Apply this formula for all numbers.

Step1:

LCM(314, 882) = 138474

GCD(314, 882) = ( 314 x 882 ) / 138474

= 314 / 882

= 314

Step2:

LCM(2, 425) = 850

GCD(2, 425) = ( 2 x 425 ) / 850

= 2 / 425

= 2

Step3:

LCM(1, 420) = 420

GCD(1, 420) = ( 1 x 420 ) / 420

= 1 / 420

= 1

So, Greatest Common Divisor of 314, 882, 425, 420 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 711, 653, 742, 498
• GCD of 698, 324, 904, 693
• GCD of 549, 545, 900, 946
• GCD of 725, 812, 364, 720
• GCD of 921, 248, 596, 491

Given numbers are 314, 882, 425, 420
The greatest common divisor of numbers 314, 882, 425, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 314, 882, 425, 420 is 1.

1. What is the GCD of 314, 882, 425, 420?

GCD of given numbers 314, 882, 425, 420 is 1

2. How to calculate the greatest common divisor of 314, 882, 425, 420?

We can find the highest common divisor of 314, 882, 425, 420 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 314, 882, 425, 420 i.e 1.

3. How can I use the GCD of 314, 882, 425, 420Calculator?

Out the numbers 314, 882, 425, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.