GCD of 465, 240, 913, 748 Calculator

Given Input numbers are 465, 240, 913, 748

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 240 :

The positive integer divisors of 240 that completely divides 240 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 913 :

The positive integer divisors of 913 that completely divides 913 are.

1, 11, 83, 913

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 (465, 240, 913, 748) = 1.

Given numbers are 465, 240, 913, 748

The list of prime factors of all numbers are

Prime factors of 465 are 3 x 5 x 31

Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 913 are 11 x 83

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 465, 240, 913, 748

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

Apply this formula for all numbers.

Step1:

LCM(465, 240) = 7440

GCD(465, 240) = ( 465 x 240 ) / 7440

= 465 / 240

= 465

Step2:

LCM(15, 913) = 13695

GCD(15, 913) = ( 15 x 913 ) / 13695

= 15 / 913

= 15

Step3:

LCM(1, 748) = 748

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

= 1 / 748

= 1

So, Greatest Common Divisor of 465, 240, 913, 748 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 828, 208, 904, 729
• GCD of 213, 612, 977, 502
• GCD of 556, 372, 794, 557
• GCD of 646, 186, 628, 981
• GCD of 578, 828, 402, 465

Given numbers are 465, 240, 913, 748
The greatest common divisor of numbers 465, 240, 913, 748 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 465, 240, 913, 748 is 1.

1. What is the GCD of 465, 240, 913, 748?

GCD of given numbers 465, 240, 913, 748 is 1

2. How to calculate the greatest common divisor of 465, 240, 913, 748?

We can find the highest common divisor of 465, 240, 913, 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 465, 240, 913, 748 i.e 1.

3. How can I use the GCD of 465, 240, 913, 748Calculator?

Out the numbers 465, 240, 913, 748 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.