GCD of 753, 170, 730, 748 Calculator

Given Input numbers are 753, 170, 730, 748

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

Divisors of 753 :

The positive integer divisors of 753 that completely divides 753 are.

1, 3, 251, 753

Divisors of 170 :

The positive integer divisors of 170 that completely divides 170 are.

1, 2, 5, 10, 17, 34, 85, 170

Divisors of 730 :

The positive integer divisors of 730 that completely divides 730 are.

1, 2, 5, 10, 73, 146, 365, 730

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

GCD of numbers is the greatest common divisor

So, the GCD (753, 170, 730, 748) = 1.

Given numbers are 753, 170, 730, 748

The list of prime factors of all numbers are

Prime factors of 753 are 3 x 251

Prime factors of 170 are 2 x 5 x 17

Prime factors of 730 are 2 x 5 x 73

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

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 753, 170, 730, 748

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

Apply this formula for all numbers.

Step1:

LCM(753, 170) = 128010

GCD(753, 170) = ( 753 x 170 ) / 128010

= 753 / 170

= 753

Step2:

LCM(1, 730) = 730

GCD(1, 730) = ( 1 x 730 ) / 730

= 1 / 730

= 1

Step3:

LCM(1, 748) = 748

GCD(1, 748) = ( 1 x 748 ) / 748

= 1 / 748

= 1

So, Greatest Common Divisor of 753, 170, 730, 748 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 781, 698, 837, 263
• GCD of 925, 333, 286, 822
• GCD of 530, 433, 329, 666
• GCD of 720, 680, 299, 755
• GCD of 373, 655, 356, 545

Given numbers are 753, 170, 730, 748
The greatest common divisor of numbers 753, 170, 730, 748 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 753, 170, 730, 748 is 1.

1. What is the GCD of 753, 170, 730, 748?

GCD of given numbers 753, 170, 730, 748 is 1

2. How to calculate the greatest common divisor of 753, 170, 730, 748?

We can find the highest common divisor of 753, 170, 730, 748 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 753, 170, 730, 748 i.e 1.

3. How can I use the GCD of 753, 170, 730, 748Calculator?

Out the numbers 753, 170, 730, 748 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.