GCD of 708, 456, 49, 725 Calculator

Given Input numbers are 708, 456, 49, 725

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

Divisors of 708 :

The positive integer divisors of 708 that completely divides 708 are.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 49 :

The positive integer divisors of 49 that completely divides 49 are.

1, 7, 49

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 (708, 456, 49, 725) = 1.

Given numbers are 708, 456, 49, 725

The list of prime factors of all numbers are

Prime factors of 708 are 2 x 2 x 3 x 59

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

Prime factors of 49 are 7 x 7

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 708, 456, 49, 725

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

Apply this formula for all numbers.

Step1:

LCM(708, 456) = 26904

GCD(708, 456) = ( 708 x 456 ) / 26904

= 708 / 456

= 708

Step2:

LCM(12, 49) = 588

GCD(12, 49) = ( 12 x 49 ) / 588

= 12 / 49

= 12

Step3:

LCM(1, 725) = 725

GCD(1, 725) = ( 1 x 725 ) / 725

= 1 / 725

= 1

So, Greatest Common Divisor of 708, 456, 49, 725 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 805, 851, 97, 701
• GCD of 266, 640, 40, 669
• GCD of 851, 908, 98, 106
• GCD of 272, 350, 92, 586
• GCD of 548, 686, 38, 563

Given numbers are 708, 456, 49, 725
The greatest common divisor of numbers 708, 456, 49, 725 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 708, 456, 49, 725 is 1.

1. What is the GCD of 708, 456, 49, 725?

GCD of given numbers 708, 456, 49, 725 is 1

2. How to calculate the greatest common divisor of 708, 456, 49, 725?

We can find the highest common divisor of 708, 456, 49, 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 708, 456, 49, 725 i.e 1.

3. How can I use the GCD of 708, 456, 49, 725Calculator?

Out the numbers 708, 456, 49, 725 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.