GCD of 676, 728, 147, 300 Calculator

Given Input numbers are 676, 728, 147, 300

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

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

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

Divisors of 147 :

The positive integer divisors of 147 that completely divides 147 are.

1, 3, 7, 21, 49, 147

Divisors of 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

GCD of numbers is the greatest common divisor

So, the GCD (676, 728, 147, 300) = 1.

Given numbers are 676, 728, 147, 300

The list of prime factors of all numbers are

Prime factors of 676 are 2 x 2 x 13 x 13

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

Prime factors of 147 are 3 x 7 x 7

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

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

Given numbers are 676, 728, 147, 300

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

Apply this formula for all numbers.

Step1:

LCM(676, 728) = 9464

GCD(676, 728) = ( 676 x 728 ) / 9464

= 676 / 728

= 676

Step2:

LCM(52, 147) = 7644

GCD(52, 147) = ( 52 x 147 ) / 7644

= 52 / 147

= 52

Step3:

LCM(1, 300) = 300

GCD(1, 300) = ( 1 x 300 ) / 300

= 1 / 300

= 1

So, Greatest Common Divisor of 676, 728, 147, 300 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 227, 308, 672, 676
• GCD of 895, 467, 867, 544
• GCD of 604, 515, 110, 218
• GCD of 241, 584, 128, 946
• GCD of 690, 337, 923, 176

Given numbers are 676, 728, 147, 300
The greatest common divisor of numbers 676, 728, 147, 300 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 676, 728, 147, 300 is 1.

1. What is the GCD of 676, 728, 147, 300?

GCD of given numbers 676, 728, 147, 300 is 1

2. How to calculate the greatest common divisor of 676, 728, 147, 300?

We can find the highest common divisor of 676, 728, 147, 300 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 676, 728, 147, 300 i.e 1.

3. How can I use the GCD of 676, 728, 147, 300Calculator?

Out the numbers 676, 728, 147, 300 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.