GCD of 726, 300, 746, 474 Calculator

Given Input numbers are 726, 300, 746, 474

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

Divisors of 726 :

The positive integer divisors of 726 that completely divides 726 are.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

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

Divisors of 746 :

The positive integer divisors of 746 that completely divides 746 are.

1, 2, 373, 746

Divisors of 474 :

The positive integer divisors of 474 that completely divides 474 are.

1, 2, 3, 6, 79, 158, 237, 474

GCD of numbers is the greatest common divisor

So, the GCD (726, 300, 746, 474) = 2.

Given numbers are 726, 300, 746, 474

The list of prime factors of all numbers are

Prime factors of 726 are 2 x 3 x 11 x 11

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

Prime factors of 746 are 2 x 373

Prime factors of 474 are 2 x 3 x 79

The highest common occurrence is 2¹

Therefore, GCD of 726, 300, 746, 474 is 2.

Given numbers are 726, 300, 746, 474

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

Apply this formula for all numbers.

Step1:

LCM(726, 300) = 36300

GCD(726, 300) = ( 726 x 300 ) / 36300

= 726 / 300

= 726

Step2:

LCM(6, 746) = 2238

GCD(6, 746) = ( 6 x 746 ) / 2238

= 6 / 746

= 6

Step3:

LCM(2, 474) = 474

GCD(2, 474) = ( 2 x 474 ) / 474

= 2 / 474

= 2

So, Greatest Common Divisor of 726, 300, 746, 474 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 953, 437, 211, 934
• GCD of 706, 185, 798, 460
• GCD of 502, 773, 888, 948
• GCD of 210, 852, 119, 449
• GCD of 610, 652, 418, 684

Given numbers are 726, 300, 746, 474
The greatest common divisor of numbers 726, 300, 746, 474 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 726, 300, 746, 474 is 2.

1. What is the GCD of 726, 300, 746, 474?

GCD of given numbers 726, 300, 746, 474 is 2

2. How to calculate the greatest common divisor of 726, 300, 746, 474?

We can find the highest common divisor of 726, 300, 746, 474 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 726, 300, 746, 474 i.e 2.

3. How can I use the GCD of 726, 300, 746, 474Calculator?

Out the numbers 726, 300, 746, 474 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.