GCD of 345, 702, 385, 448 Calculator

Given Input numbers are 345, 702, 385, 448

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 702 :

The positive integer divisors of 702 that completely divides 702 are.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Divisors of 385 :

The positive integer divisors of 385 that completely divides 385 are.

1, 5, 7, 11, 35, 55, 77, 385

Divisors of 448 :

The positive integer divisors of 448 that completely divides 448 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

GCD of numbers is the greatest common divisor

So, the GCD (345, 702, 385, 448) = 1.

Given numbers are 345, 702, 385, 448

The list of prime factors of all numbers are

Prime factors of 345 are 3 x 5 x 23

Prime factors of 702 are 2 x 3 x 3 x 3 x 13

Prime factors of 385 are 5 x 7 x 11

Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 345, 702, 385, 448

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

Apply this formula for all numbers.

Step1:

LCM(345, 702) = 80730

GCD(345, 702) = ( 345 x 702 ) / 80730

= 345 / 702

= 345

Step2:

LCM(3, 385) = 1155

GCD(3, 385) = ( 3 x 385 ) / 1155

= 3 / 385

= 3

Step3:

LCM(1, 448) = 448

GCD(1, 448) = ( 1 x 448 ) / 448

= 1 / 448

= 1

So, Greatest Common Divisor of 345, 702, 385, 448 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 412, 140, 555, 202
• GCD of 509, 788, 929, 159
• GCD of 123, 584, 525, 874
• GCD of 428, 125, 482, 440
• GCD of 277, 225, 320, 635

Given numbers are 345, 702, 385, 448
The greatest common divisor of numbers 345, 702, 385, 448 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 345, 702, 385, 448 is 1.

1. What is the GCD of 345, 702, 385, 448?

GCD of given numbers 345, 702, 385, 448 is 1

2. How to calculate the greatest common divisor of 345, 702, 385, 448?

We can find the highest common divisor of 345, 702, 385, 448 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, 702, 385, 448 i.e 1.

3. How can I use the GCD of 345, 702, 385, 448Calculator?

Out the numbers 345, 702, 385, 448 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.