GCD of 614, 698, 900, 728 Calculator

Given Input numbers are 614, 698, 900, 728

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 698 :

The positive integer divisors of 698 that completely divides 698 are.

1, 2, 349, 698

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

GCD of numbers is the greatest common divisor

So, the GCD (614, 698, 900, 728) = 2.

Given numbers are 614, 698, 900, 728

The list of prime factors of all numbers are

Prime factors of 614 are 2 x 307

Prime factors of 698 are 2 x 349

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

The highest common occurrence is 2¹

Therefore, GCD of 614, 698, 900, 728 is 2.

Given numbers are 614, 698, 900, 728

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

Apply this formula for all numbers.

Step1:

LCM(614, 698) = 214286

GCD(614, 698) = ( 614 x 698 ) / 214286

= 614 / 698

= 614

Step2:

LCM(2, 900) = 900

GCD(2, 900) = ( 2 x 900 ) / 900

= 2 / 900

= 2

Step3:

LCM(2, 728) = 728

GCD(2, 728) = ( 2 x 728 ) / 728

= 2 / 728

= 2

So, Greatest Common Divisor of 614, 698, 900, 728 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 901, 336, 140, 631
• GCD of 156, 600, 463, 873
• GCD of 426, 931, 421, 981
• GCD of 944, 107, 723, 587
• GCD of 673, 238, 155, 360

Given numbers are 614, 698, 900, 728
The greatest common divisor of numbers 614, 698, 900, 728 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 614, 698, 900, 728 is 2.

1. What is the GCD of 614, 698, 900, 728?

GCD of given numbers 614, 698, 900, 728 is 2

2. How to calculate the greatest common divisor of 614, 698, 900, 728?

We can find the highest common divisor of 614, 698, 900, 728 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, 698, 900, 728 i.e 2.

3. How can I use the GCD of 614, 698, 900, 728Calculator?

Out the numbers 614, 698, 900, 728 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.