GCD of 744, 952, 450, 118 Calculator

Given Input numbers are 744, 952, 450, 118

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

Divisors of 744 :

The positive integer divisors of 744 that completely divides 744 are.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 952 :

The positive integer divisors of 952 that completely divides 952 are.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

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 118 :

The positive integer divisors of 118 that completely divides 118 are.

1, 2, 59, 118

GCD of numbers is the greatest common divisor

So, the GCD (744, 952, 450, 118) = 2.

Given numbers are 744, 952, 450, 118

The list of prime factors of all numbers are

Prime factors of 744 are 2 x 2 x 2 x 3 x 31

Prime factors of 952 are 2 x 2 x 2 x 7 x 17

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

Prime factors of 118 are 2 x 59

The highest common occurrence is 2¹

Therefore, GCD of 744, 952, 450, 118 is 2.

Given numbers are 744, 952, 450, 118

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

Apply this formula for all numbers.

Step1:

LCM(744, 952) = 88536

GCD(744, 952) = ( 744 x 952 ) / 88536

= 744 / 952

= 744

Step2:

LCM(8, 450) = 1800

GCD(8, 450) = ( 8 x 450 ) / 1800

= 8 / 450

= 8

Step3:

LCM(2, 118) = 118

GCD(2, 118) = ( 2 x 118 ) / 118

= 2 / 118

= 2

So, Greatest Common Divisor of 744, 952, 450, 118 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 972, 227, 266, 299
• GCD of 857, 877, 700, 827
• GCD of 773, 523, 179, 430
• GCD of 673, 184, 933, 623
• GCD of 626, 123, 906, 336

Given numbers are 744, 952, 450, 118
The greatest common divisor of numbers 744, 952, 450, 118 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 744, 952, 450, 118 is 2.

1. What is the GCD of 744, 952, 450, 118?

GCD of given numbers 744, 952, 450, 118 is 2

2. How to calculate the greatest common divisor of 744, 952, 450, 118?

We can find the highest common divisor of 744, 952, 450, 118 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 744, 952, 450, 118 i.e 2.

3. How can I use the GCD of 744, 952, 450, 118Calculator?

Out the numbers 744, 952, 450, 118 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.