GCD of 345, 416, 697, 748 Calculator

Given Input numbers are 345, 416, 697, 748

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

Divisors of 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 416 :

The positive integer divisors of 416 that completely divides 416 are.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

Divisors of 697 :

The positive integer divisors of 697 that completely divides 697 are.

1, 17, 41, 697

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 (345, 416, 697, 748) = 1.

Given numbers are 345, 416, 697, 748

The list of prime factors of all numbers are

Prime factors of 345 are 3 x 5 x 23

Prime factors of 416 are 2 x 2 x 2 x 2 x 2 x 13

Prime factors of 697 are 17 x 41

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 345, 416, 697, 748

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

Apply this formula for all numbers.

Step1:

LCM(345, 416) = 143520

GCD(345, 416) = ( 345 x 416 ) / 143520

= 345 / 416

= 345

Step2:

LCM(1, 697) = 697

GCD(1, 697) = ( 1 x 697 ) / 697

= 1 / 697

= 1

Step3:

LCM(1, 748) = 748

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

= 1 / 748

= 1

So, Greatest Common Divisor of 345, 416, 697, 748 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 880, 872, 686, 374
• GCD of 662, 180, 788, 746
• GCD of 469, 161, 817, 651
• GCD of 723, 397, 849, 706
• GCD of 313, 908, 508, 199

Given numbers are 345, 416, 697, 748
The greatest common divisor of numbers 345, 416, 697, 748 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 345, 416, 697, 748 is 1.

1. What is the GCD of 345, 416, 697, 748?

GCD of given numbers 345, 416, 697, 748 is 1

2. How to calculate the greatest common divisor of 345, 416, 697, 748?

We can find the highest common divisor of 345, 416, 697, 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 345, 416, 697, 748 i.e 1.

3. How can I use the GCD of 345, 416, 697, 748Calculator?

Out the numbers 345, 416, 697, 748 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.