GCD of 212, 308, 648, 725 Calculator

Given Input numbers are 212, 308, 648, 725

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

Divisors of 212 :

The positive integer divisors of 212 that completely divides 212 are.

1, 2, 4, 53, 106, 212

Divisors of 308 :

The positive integer divisors of 308 that completely divides 308 are.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 648 :

The positive integer divisors of 648 that completely divides 648 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 725 :

The positive integer divisors of 725 that completely divides 725 are.

1, 5, 25, 29, 145, 725

GCD of numbers is the greatest common divisor

So, the GCD (212, 308, 648, 725) = 1.

Given numbers are 212, 308, 648, 725

The list of prime factors of all numbers are

Prime factors of 212 are 2 x 2 x 53

Prime factors of 308 are 2 x 2 x 7 x 11

Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime factors of 725 are 5 x 5 x 29

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

Given numbers are 212, 308, 648, 725

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

Apply this formula for all numbers.

Step1:

LCM(212, 308) = 16324

GCD(212, 308) = ( 212 x 308 ) / 16324

= 212 / 308

= 212

Step2:

LCM(4, 648) = 648

GCD(4, 648) = ( 4 x 648 ) / 648

= 4 / 648

= 4

Step3:

LCM(4, 725) = 2900

GCD(4, 725) = ( 4 x 725 ) / 2900

= 4 / 725

= 4

So, Greatest Common Divisor of 212, 308, 648, 725 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 546, 808, 427, 991
• GCD of 814, 163, 229, 365
• GCD of 769, 953, 400, 707
• GCD of 783, 688, 459, 679
• GCD of 947, 133, 740, 652

Given numbers are 212, 308, 648, 725
The greatest common divisor of numbers 212, 308, 648, 725 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 212, 308, 648, 725 is 1.

1. What is the GCD of 212, 308, 648, 725?

GCD of given numbers 212, 308, 648, 725 is 1

2. How to calculate the greatest common divisor of 212, 308, 648, 725?

We can find the highest common divisor of 212, 308, 648, 725 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 212, 308, 648, 725 i.e 1.

3. How can I use the GCD of 212, 308, 648, 725Calculator?

Out the numbers 212, 308, 648, 725 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.