GCD of 741, 309, 618, 465 Calculator

Given Input numbers are 741, 309, 618, 465

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

Divisors of 741 :

The positive integer divisors of 741 that completely divides 741 are.

1, 3, 13, 19, 39, 57, 247, 741

Divisors of 309 :

The positive integer divisors of 309 that completely divides 309 are.

1, 3, 103, 309

Divisors of 618 :

The positive integer divisors of 618 that completely divides 618 are.

1, 2, 3, 6, 103, 206, 309, 618

Divisors of 465 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (741, 309, 618, 465) = 3.

Given numbers are 741, 309, 618, 465

The list of prime factors of all numbers are

Prime factors of 741 are 3 x 13 x 19

Prime factors of 309 are 3 x 103

Prime factors of 618 are 2 x 3 x 103

Prime factors of 465 are 3 x 5 x 31

The highest common occurrence is 3¹

Therefore, GCD of 741, 309, 618, 465 is 3.

Given numbers are 741, 309, 618, 465

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

Apply this formula for all numbers.

Step1:

LCM(741, 309) = 76323

GCD(741, 309) = ( 741 x 309 ) / 76323

= 741 / 309

= 741

Step2:

LCM(3, 618) = 618

GCD(3, 618) = ( 3 x 618 ) / 618

= 3 / 618

= 3

Step3:

LCM(3, 465) = 465

GCD(3, 465) = ( 3 x 465 ) / 465

= 3 / 465

= 3

So, Greatest Common Divisor of 741, 309, 618, 465 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 276, 535, 524, 735
• GCD of 512, 741, 410, 135
• GCD of 838, 852, 434, 469
• GCD of 914, 992, 339, 218
• GCD of 757, 998, 409, 801

Given numbers are 741, 309, 618, 465
The greatest common divisor of numbers 741, 309, 618, 465 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 741, 309, 618, 465 is 3.

1. What is the GCD of 741, 309, 618, 465?

GCD of given numbers 741, 309, 618, 465 is 3

2. How to calculate the greatest common divisor of 741, 309, 618, 465?

We can find the highest common divisor of 741, 309, 618, 465 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 741, 309, 618, 465 i.e 3.

3. How can I use the GCD of 741, 309, 618, 465Calculator?

Out the numbers 741, 309, 618, 465 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.