GCD of 728, 690, 748, 954 Calculator

Given Input numbers are 728, 690, 748, 954

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

Divisors of 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 690 :

The positive integer divisors of 690 that completely divides 690 are.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

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 954 :

The positive integer divisors of 954 that completely divides 954 are.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

GCD of numbers is the greatest common divisor

So, the GCD (728, 690, 748, 954) = 2.

Given numbers are 728, 690, 748, 954

The list of prime factors of all numbers are

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

Prime factors of 690 are 2 x 3 x 5 x 23

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

Prime factors of 954 are 2 x 3 x 3 x 53

The highest common occurrence is 2¹

Therefore, GCD of 728, 690, 748, 954 is 2.

Given numbers are 728, 690, 748, 954

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

Apply this formula for all numbers.

Step1:

LCM(728, 690) = 251160

GCD(728, 690) = ( 728 x 690 ) / 251160

= 728 / 690

= 728

Step2:

LCM(2, 748) = 748

GCD(2, 748) = ( 2 x 748 ) / 748

= 2 / 748

= 2

Step3:

LCM(2, 954) = 954

GCD(2, 954) = ( 2 x 954 ) / 954

= 2 / 954

= 2

So, Greatest Common Divisor of 728, 690, 748, 954 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 102, 592, 200, 600
• GCD of 363, 827, 204, 840
• GCD of 189, 450, 375, 789
• GCD of 875, 546, 167, 854
• GCD of 507, 704, 390, 545

Given numbers are 728, 690, 748, 954
The greatest common divisor of numbers 728, 690, 748, 954 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 728, 690, 748, 954 is 2.

1. What is the GCD of 728, 690, 748, 954?

GCD of given numbers 728, 690, 748, 954 is 2

2. How to calculate the greatest common divisor of 728, 690, 748, 954?

We can find the highest common divisor of 728, 690, 748, 954 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 728, 690, 748, 954 i.e 2.

3. How can I use the GCD of 728, 690, 748, 954Calculator?

Out the numbers 728, 690, 748, 954 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.