GCD of 984, 465, 341, 748 Calculator

Given Input numbers are 984, 465, 341, 748

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

Divisors of 984 :

The positive integer divisors of 984 that completely divides 984 are.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 465 :

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

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

Divisors of 341 :

The positive integer divisors of 341 that completely divides 341 are.

1, 11, 31, 341

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 (984, 465, 341, 748) = 1.

Given numbers are 984, 465, 341, 748

The list of prime factors of all numbers are

Prime factors of 984 are 2 x 2 x 2 x 3 x 41

Prime factors of 465 are 3 x 5 x 31

Prime factors of 341 are 11 x 31

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 984, 465, 341, 748

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

Apply this formula for all numbers.

Step1:

LCM(984, 465) = 152520

GCD(984, 465) = ( 984 x 465 ) / 152520

= 984 / 465

= 984

Step2:

LCM(3, 341) = 1023

GCD(3, 341) = ( 3 x 341 ) / 1023

= 3 / 341

= 3

Step3:

LCM(1, 748) = 748

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

= 1 / 748

= 1

So, Greatest Common Divisor of 984, 465, 341, 748 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 213, 412, 478, 101
• GCD of 396, 121, 626, 447
• GCD of 635, 887, 317, 663
• GCD of 139, 416, 491, 853
• GCD of 814, 598, 885, 940

Given numbers are 984, 465, 341, 748
The greatest common divisor of numbers 984, 465, 341, 748 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 984, 465, 341, 748 is 1.

1. What is the GCD of 984, 465, 341, 748?

GCD of given numbers 984, 465, 341, 748 is 1

2. How to calculate the greatest common divisor of 984, 465, 341, 748?

We can find the highest common divisor of 984, 465, 341, 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 984, 465, 341, 748 i.e 1.

3. How can I use the GCD of 984, 465, 341, 748Calculator?

Out the numbers 984, 465, 341, 748 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.