GCD of 668, 472, 748, 754 Calculator

Given Input numbers are 668, 472, 748, 754

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

Divisors of 668 :

The positive integer divisors of 668 that completely divides 668 are.

1, 2, 4, 167, 334, 668

Divisors of 472 :

The positive integer divisors of 472 that completely divides 472 are.

1, 2, 4, 8, 59, 118, 236, 472

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 754 :

The positive integer divisors of 754 that completely divides 754 are.

1, 2, 13, 26, 29, 58, 377, 754

GCD of numbers is the greatest common divisor

So, the GCD (668, 472, 748, 754) = 2.

Given numbers are 668, 472, 748, 754

The list of prime factors of all numbers are

Prime factors of 668 are 2 x 2 x 167

Prime factors of 472 are 2 x 2 x 2 x 59

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

Prime factors of 754 are 2 x 13 x 29

The highest common occurrence is 2¹

Therefore, GCD of 668, 472, 748, 754 is 2.

Given numbers are 668, 472, 748, 754

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

Apply this formula for all numbers.

Step1:

LCM(668, 472) = 78824

GCD(668, 472) = ( 668 x 472 ) / 78824

= 668 / 472

= 668

Step2:

LCM(4, 748) = 748

GCD(4, 748) = ( 4 x 748 ) / 748

= 4 / 748

= 4

Step3:

LCM(4, 754) = 1508

GCD(4, 754) = ( 4 x 754 ) / 1508

= 4 / 754

= 4

So, Greatest Common Divisor of 668, 472, 748, 754 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 734, 206, 237, 509
• GCD of 456, 481, 942, 600
• GCD of 241, 490, 219, 546
• GCD of 607, 592, 875, 245
• GCD of 799, 495, 141, 181

Given numbers are 668, 472, 748, 754
The greatest common divisor of numbers 668, 472, 748, 754 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 668, 472, 748, 754 is 2.

1. What is the GCD of 668, 472, 748, 754?

GCD of given numbers 668, 472, 748, 754 is 2

2. How to calculate the greatest common divisor of 668, 472, 748, 754?

We can find the highest common divisor of 668, 472, 748, 754 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 668, 472, 748, 754 i.e 2.

3. How can I use the GCD of 668, 472, 748, 754Calculator?

Out the numbers 668, 472, 748, 754 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.