GCD of 465, 378, 537, 747 Calculator

Given Input numbers are 465, 378, 537, 747

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

Divisors of 465 :

The positive integer divisors of 465 that completely divides 465 are.

1, 3, 5, 15, 31, 93, 155, 465

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 537 :

The positive integer divisors of 537 that completely divides 537 are.

1, 3, 179, 537

Divisors of 747 :

The positive integer divisors of 747 that completely divides 747 are.

1, 3, 9, 83, 249, 747

GCD of numbers is the greatest common divisor

So, the GCD (465, 378, 537, 747) = 3.

Given numbers are 465, 378, 537, 747

The list of prime factors of all numbers are

Prime factors of 465 are 3 x 5 x 31

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

Prime factors of 537 are 3 x 179

Prime factors of 747 are 3 x 3 x 83

The highest common occurrence is 3¹

Therefore, GCD of 465, 378, 537, 747 is 3.

Given numbers are 465, 378, 537, 747

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

Apply this formula for all numbers.

Step1:

LCM(465, 378) = 58590

GCD(465, 378) = ( 465 x 378 ) / 58590

= 465 / 378

= 465

Step2:

LCM(3, 537) = 537

GCD(3, 537) = ( 3 x 537 ) / 537

= 3 / 537

= 3

Step3:

LCM(3, 747) = 747

GCD(3, 747) = ( 3 x 747 ) / 747

= 3 / 747

= 3

So, Greatest Common Divisor of 465, 378, 537, 747 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 719, 318, 907, 656
• GCD of 731, 868, 777, 735
• GCD of 956, 885, 939, 255
• GCD of 493, 185, 539, 726
• GCD of 677, 445, 660, 676

Given numbers are 465, 378, 537, 747
The greatest common divisor of numbers 465, 378, 537, 747 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 465, 378, 537, 747 is 3.

1. What is the GCD of 465, 378, 537, 747?

GCD of given numbers 465, 378, 537, 747 is 3

2. How to calculate the greatest common divisor of 465, 378, 537, 747?

We can find the highest common divisor of 465, 378, 537, 747 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 465, 378, 537, 747 i.e 3.

3. How can I use the GCD of 465, 378, 537, 747Calculator?

Out the numbers 465, 378, 537, 747 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.