GCD of 614, 420, 182, 625 Calculator

Given Input numbers are 614, 420, 182, 625

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

Divisors of 614 :

The positive integer divisors of 614 that completely divides 614 are.

1, 2, 307, 614

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

Divisors of 182 :

The positive integer divisors of 182 that completely divides 182 are.

1, 2, 7, 13, 14, 26, 91, 182

Divisors of 625 :

The positive integer divisors of 625 that completely divides 625 are.

1, 5, 25, 125, 625

GCD of numbers is the greatest common divisor

So, the GCD (614, 420, 182, 625) = 1.

Given numbers are 614, 420, 182, 625

The list of prime factors of all numbers are

Prime factors of 614 are 2 x 307

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

Prime factors of 182 are 2 x 7 x 13

Prime factors of 625 are 5 x 5 x 5 x 5

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

Given numbers are 614, 420, 182, 625

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

Apply this formula for all numbers.

Step1:

LCM(614, 420) = 128940

GCD(614, 420) = ( 614 x 420 ) / 128940

= 614 / 420

= 614

Step2:

LCM(2, 182) = 182

GCD(2, 182) = ( 2 x 182 ) / 182

= 2 / 182

= 2

Step3:

LCM(2, 625) = 1250

GCD(2, 625) = ( 2 x 625 ) / 1250

= 2 / 625

= 2

So, Greatest Common Divisor of 614, 420, 182, 625 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 700, 407, 861, 332
• GCD of 378, 762, 459, 423
• GCD of 369, 509, 882, 293
• GCD of 767, 412, 521, 361
• GCD of 873, 522, 201, 873

Given numbers are 614, 420, 182, 625
The greatest common divisor of numbers 614, 420, 182, 625 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 614, 420, 182, 625 is 1.

1. What is the GCD of 614, 420, 182, 625?

GCD of given numbers 614, 420, 182, 625 is 1

2. How to calculate the greatest common divisor of 614, 420, 182, 625?

We can find the highest common divisor of 614, 420, 182, 625 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 614, 420, 182, 625 i.e 1.

3. How can I use the GCD of 614, 420, 182, 625Calculator?

Out the numbers 614, 420, 182, 625 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.