GCD of 753, 627, 189, 501 Calculator

Given Input numbers are 753, 627, 189, 501

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 627 :

The positive integer divisors of 627 that completely divides 627 are.

1, 3, 11, 19, 33, 57, 209, 627

Divisors of 189 :

The positive integer divisors of 189 that completely divides 189 are.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 501 :

The positive integer divisors of 501 that completely divides 501 are.

1, 3, 167, 501

GCD of numbers is the greatest common divisor

So, the GCD (753, 627, 189, 501) = 3.

Given numbers are 753, 627, 189, 501

The list of prime factors of all numbers are

Prime factors of 753 are 3 x 251

Prime factors of 627 are 3 x 11 x 19

Prime factors of 189 are 3 x 3 x 3 x 7

Prime factors of 501 are 3 x 167

The highest common occurrence is 3¹

Therefore, GCD of 753, 627, 189, 501 is 3.

Given numbers are 753, 627, 189, 501

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

Apply this formula for all numbers.

Step1:

LCM(753, 627) = 157377

GCD(753, 627) = ( 753 x 627 ) / 157377

= 753 / 627

= 753

Step2:

LCM(3, 189) = 189

GCD(3, 189) = ( 3 x 189 ) / 189

= 3 / 189

= 3

Step3:

LCM(3, 501) = 501

GCD(3, 501) = ( 3 x 501 ) / 501

= 3 / 501

= 3

So, Greatest Common Divisor of 753, 627, 189, 501 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 115, 336, 116, 974
• GCD of 997, 282, 775, 426
• GCD of 623, 494, 692, 848
• GCD of 444, 212, 805, 889
• GCD of 601, 488, 919, 930

Given numbers are 753, 627, 189, 501
The greatest common divisor of numbers 753, 627, 189, 501 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 753, 627, 189, 501 is 3.

1. What is the GCD of 753, 627, 189, 501?

GCD of given numbers 753, 627, 189, 501 is 3

2. How to calculate the greatest common divisor of 753, 627, 189, 501?

We can find the highest common divisor of 753, 627, 189, 501 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, 627, 189, 501 i.e 3.

3. How can I use the GCD of 753, 627, 189, 501Calculator?

Out the numbers 753, 627, 189, 501 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.