GCD of 362, 148, 345, 760 Calculator

Given Input numbers are 362, 148, 345, 760

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

Divisors of 362 :

The positive integer divisors of 362 that completely divides 362 are.

1, 2, 181, 362

Divisors of 148 :

The positive integer divisors of 148 that completely divides 148 are.

1, 2, 4, 37, 74, 148

Divisors of 345 :

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

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

Divisors of 760 :

The positive integer divisors of 760 that completely divides 760 are.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

GCD of numbers is the greatest common divisor

So, the GCD (362, 148, 345, 760) = 1.

Given numbers are 362, 148, 345, 760

The list of prime factors of all numbers are

Prime factors of 362 are 2 x 181

Prime factors of 148 are 2 x 2 x 37

Prime factors of 345 are 3 x 5 x 23

Prime factors of 760 are 2 x 2 x 2 x 5 x 19

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

Given numbers are 362, 148, 345, 760

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

Apply this formula for all numbers.

Step1:

LCM(362, 148) = 26788

GCD(362, 148) = ( 362 x 148 ) / 26788

= 362 / 148

= 362

Step2:

LCM(2, 345) = 690

GCD(2, 345) = ( 2 x 345 ) / 690

= 2 / 345

= 2

Step3:

LCM(1, 760) = 760

GCD(1, 760) = ( 1 x 760 ) / 760

= 1 / 760

= 1

So, Greatest Common Divisor of 362, 148, 345, 760 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 430, 824, 277, 305
• GCD of 544, 476, 438, 587
• GCD of 814, 240, 171, 529
• GCD of 968, 162, 548, 478
• GCD of 770, 598, 175, 604

Given numbers are 362, 148, 345, 760
The greatest common divisor of numbers 362, 148, 345, 760 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 362, 148, 345, 760 is 1.

1. What is the GCD of 362, 148, 345, 760?

GCD of given numbers 362, 148, 345, 760 is 1

2. How to calculate the greatest common divisor of 362, 148, 345, 760?

We can find the highest common divisor of 362, 148, 345, 760 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 362, 148, 345, 760 i.e 1.

3. How can I use the GCD of 362, 148, 345, 760Calculator?

Out the numbers 362, 148, 345, 760 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.