GCD of 548, 825, 749, 973 Calculator

Given Input numbers are 548, 825, 749, 973

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

Divisors of 548 :

The positive integer divisors of 548 that completely divides 548 are.

1, 2, 4, 137, 274, 548

Divisors of 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 749 :

The positive integer divisors of 749 that completely divides 749 are.

1, 7, 107, 749

Divisors of 973 :

The positive integer divisors of 973 that completely divides 973 are.

1, 7, 139, 973

GCD of numbers is the greatest common divisor

So, the GCD (548, 825, 749, 973) = 1.

Given numbers are 548, 825, 749, 973

The list of prime factors of all numbers are

Prime factors of 548 are 2 x 2 x 137

Prime factors of 825 are 3 x 5 x 5 x 11

Prime factors of 749 are 7 x 107

Prime factors of 973 are 7 x 139

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

Given numbers are 548, 825, 749, 973

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

Apply this formula for all numbers.

Step1:

LCM(548, 825) = 452100

GCD(548, 825) = ( 548 x 825 ) / 452100

= 548 / 825

= 548

Step2:

LCM(1, 749) = 749

GCD(1, 749) = ( 1 x 749 ) / 749

= 1 / 749

= 1

Step3:

LCM(1, 973) = 973

GCD(1, 973) = ( 1 x 973 ) / 973

= 1 / 973

= 1

So, Greatest Common Divisor of 548, 825, 749, 973 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 915, 974, 333, 468
• GCD of 453, 567, 728, 415
• GCD of 310, 783, 286, 916
• GCD of 955, 593, 217, 605
• GCD of 839, 840, 264, 492

Given numbers are 548, 825, 749, 973
The greatest common divisor of numbers 548, 825, 749, 973 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 548, 825, 749, 973 is 1.

1. What is the GCD of 548, 825, 749, 973?

GCD of given numbers 548, 825, 749, 973 is 1

2. How to calculate the greatest common divisor of 548, 825, 749, 973?

We can find the highest common divisor of 548, 825, 749, 973 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 548, 825, 749, 973 i.e 1.

3. How can I use the GCD of 548, 825, 749, 973Calculator?

Out the numbers 548, 825, 749, 973 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.