GCD of 749, 724, 648, 548 Calculator

Given Input numbers are 749, 724, 648, 548

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

Divisors of 749 :

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

1, 7, 107, 749

Divisors of 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

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 548 :

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

1, 2, 4, 137, 274, 548

GCD of numbers is the greatest common divisor

So, the GCD (749, 724, 648, 548) = 1.

Given numbers are 749, 724, 648, 548

The list of prime factors of all numbers are

Prime factors of 749 are 7 x 107

Prime factors of 724 are 2 x 2 x 181

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

Prime factors of 548 are 2 x 2 x 137

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

Given numbers are 749, 724, 648, 548

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

Apply this formula for all numbers.

Step1:

LCM(749, 724) = 542276

GCD(749, 724) = ( 749 x 724 ) / 542276

= 749 / 724

= 749

Step2:

LCM(1, 648) = 648

GCD(1, 648) = ( 1 x 648 ) / 648

= 1 / 648

= 1

Step3:

LCM(1, 548) = 548

GCD(1, 548) = ( 1 x 548 ) / 548

= 1 / 548

= 1

So, Greatest Common Divisor of 749, 724, 648, 548 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 896, 862, 161, 534
• GCD of 355, 344, 500, 762
• GCD of 618, 983, 815, 122
• GCD of 971, 275, 891, 957
• GCD of 258, 774, 649, 319

Given numbers are 749, 724, 648, 548
The greatest common divisor of numbers 749, 724, 648, 548 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 749, 724, 648, 548 is 1.

1. What is the GCD of 749, 724, 648, 548?

GCD of given numbers 749, 724, 648, 548 is 1

2. How to calculate the greatest common divisor of 749, 724, 648, 548?

We can find the highest common divisor of 749, 724, 648, 548 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 749, 724, 648, 548 i.e 1.

3. How can I use the GCD of 749, 724, 648, 548Calculator?

Out the numbers 749, 724, 648, 548 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.