GCD of 748, 450, 522, 674 Calculator

Given Input numbers are 748, 450, 522, 674

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

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 450 :

The positive integer divisors of 450 that completely divides 450 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Divisors of 522 :

The positive integer divisors of 522 that completely divides 522 are.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Divisors of 674 :

The positive integer divisors of 674 that completely divides 674 are.

1, 2, 337, 674

GCD of numbers is the greatest common divisor

So, the GCD (748, 450, 522, 674) = 2.

Given numbers are 748, 450, 522, 674

The list of prime factors of all numbers are

Prime factors of 748 are 2 x 2 x 11 x 17

Prime factors of 450 are 2 x 3 x 3 x 5 x 5

Prime factors of 522 are 2 x 3 x 3 x 29

Prime factors of 674 are 2 x 337

The highest common occurrence is 2¹

Therefore, GCD of 748, 450, 522, 674 is 2.

Given numbers are 748, 450, 522, 674

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

Apply this formula for all numbers.

Step1:

LCM(748, 450) = 168300

GCD(748, 450) = ( 748 x 450 ) / 168300

= 748 / 450

= 748

Step2:

LCM(2, 522) = 522

GCD(2, 522) = ( 2 x 522 ) / 522

= 2 / 522

= 2

Step3:

LCM(2, 674) = 674

GCD(2, 674) = ( 2 x 674 ) / 674

= 2 / 674

= 2

So, Greatest Common Divisor of 748, 450, 522, 674 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 203, 141, 473, 956
• GCD of 506, 518, 192, 333
• GCD of 887, 637, 533, 456
• GCD of 276, 316, 483, 771
• GCD of 264, 750, 304, 230

Given numbers are 748, 450, 522, 674
The greatest common divisor of numbers 748, 450, 522, 674 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 450, 522, 674 is 2.

1. What is the GCD of 748, 450, 522, 674?

GCD of given numbers 748, 450, 522, 674 is 2

2. How to calculate the greatest common divisor of 748, 450, 522, 674?

We can find the highest common divisor of 748, 450, 522, 674 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 748, 450, 522, 674 i.e 2.

3. How can I use the GCD of 748, 450, 522, 674Calculator?

Out the numbers 748, 450, 522, 674 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.