GCD of 734, 248, 738, 450 Calculator

Given Input numbers are 734, 248, 738, 450

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

Divisors of 734 :

The positive integer divisors of 734 that completely divides 734 are.

1, 2, 367, 734

Divisors of 248 :

The positive integer divisors of 248 that completely divides 248 are.

1, 2, 4, 8, 31, 62, 124, 248

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

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

GCD of numbers is the greatest common divisor

So, the GCD (734, 248, 738, 450) = 2.

Given numbers are 734, 248, 738, 450

The list of prime factors of all numbers are

Prime factors of 734 are 2 x 367

Prime factors of 248 are 2 x 2 x 2 x 31

Prime factors of 738 are 2 x 3 x 3 x 41

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

The highest common occurrence is 2¹

Therefore, GCD of 734, 248, 738, 450 is 2.

Given numbers are 734, 248, 738, 450

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

Apply this formula for all numbers.

Step1:

LCM(734, 248) = 91016

GCD(734, 248) = ( 734 x 248 ) / 91016

= 734 / 248

= 734

Step2:

LCM(2, 738) = 738

GCD(2, 738) = ( 2 x 738 ) / 738

= 2 / 738

= 2

Step3:

LCM(2, 450) = 450

GCD(2, 450) = ( 2 x 450 ) / 450

= 2 / 450

= 2

So, Greatest Common Divisor of 734, 248, 738, 450 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 169, 204, 286, 484
• GCD of 245, 380, 888, 490
• GCD of 840, 860, 988, 719
• GCD of 506, 751, 160, 213
• GCD of 537, 373, 628, 716

Given numbers are 734, 248, 738, 450
The greatest common divisor of numbers 734, 248, 738, 450 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 734, 248, 738, 450 is 2.

1. What is the GCD of 734, 248, 738, 450?

GCD of given numbers 734, 248, 738, 450 is 2

2. How to calculate the greatest common divisor of 734, 248, 738, 450?

We can find the highest common divisor of 734, 248, 738, 450 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 734, 248, 738, 450 i.e 2.

3. How can I use the GCD of 734, 248, 738, 450Calculator?

Out the numbers 734, 248, 738, 450 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.