GCD of 273, 102, 525, 738 Calculator

Given Input numbers are 273, 102, 525, 738

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

Divisors of 273 :

The positive integer divisors of 273 that completely divides 273 are.

1, 3, 7, 13, 21, 39, 91, 273

Divisors of 102 :

The positive integer divisors of 102 that completely divides 102 are.

1, 2, 3, 6, 17, 34, 51, 102

Divisors of 525 :

The positive integer divisors of 525 that completely divides 525 are.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

GCD of numbers is the greatest common divisor

So, the GCD (273, 102, 525, 738) = 3.

Given numbers are 273, 102, 525, 738

The list of prime factors of all numbers are

Prime factors of 273 are 3 x 7 x 13

Prime factors of 102 are 2 x 3 x 17

Prime factors of 525 are 3 x 5 x 5 x 7

Prime factors of 738 are 2 x 3 x 3 x 41

The highest common occurrence is 3¹

Therefore, GCD of 273, 102, 525, 738 is 3.

Given numbers are 273, 102, 525, 738

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

Apply this formula for all numbers.

Step1:

LCM(273, 102) = 9282

GCD(273, 102) = ( 273 x 102 ) / 9282

= 273 / 102

= 273

Step2:

LCM(3, 525) = 525

GCD(3, 525) = ( 3 x 525 ) / 525

= 3 / 525

= 3

Step3:

LCM(3, 738) = 738

GCD(3, 738) = ( 3 x 738 ) / 738

= 3 / 738

= 3

So, Greatest Common Divisor of 273, 102, 525, 738 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 513, 143, 655, 429
• GCD of 264, 373, 704, 372
• GCD of 747, 669, 798, 988
• GCD of 765, 278, 342, 917
• GCD of 693, 269, 742, 905

Given numbers are 273, 102, 525, 738
The greatest common divisor of numbers 273, 102, 525, 738 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 273, 102, 525, 738 is 3.

1. What is the GCD of 273, 102, 525, 738?

GCD of given numbers 273, 102, 525, 738 is 3

2. How to calculate the greatest common divisor of 273, 102, 525, 738?

We can find the highest common divisor of 273, 102, 525, 738 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 273, 102, 525, 738 i.e 3.

3. How can I use the GCD of 273, 102, 525, 738Calculator?

Out the numbers 273, 102, 525, 738 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.