GCD of 426, 375, 745, 105 Calculator

Given Input numbers are 426, 375, 745, 105

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

Divisors of 426 :

The positive integer divisors of 426 that completely divides 426 are.

1, 2, 3, 6, 71, 142, 213, 426

Divisors of 375 :

The positive integer divisors of 375 that completely divides 375 are.

1, 3, 5, 15, 25, 75, 125, 375

Divisors of 745 :

The positive integer divisors of 745 that completely divides 745 are.

1, 5, 149, 745

Divisors of 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105

GCD of numbers is the greatest common divisor

So, the GCD (426, 375, 745, 105) = 1.

Given numbers are 426, 375, 745, 105

The list of prime factors of all numbers are

Prime factors of 426 are 2 x 3 x 71

Prime factors of 375 are 3 x 5 x 5 x 5

Prime factors of 745 are 5 x 149

Prime factors of 105 are 3 x 5 x 7

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

Given numbers are 426, 375, 745, 105

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

Apply this formula for all numbers.

Step1:

LCM(426, 375) = 53250

GCD(426, 375) = ( 426 x 375 ) / 53250

= 426 / 375

= 426

Step2:

LCM(3, 745) = 2235

GCD(3, 745) = ( 3 x 745 ) / 2235

= 3 / 745

= 3

Step3:

LCM(1, 105) = 105

GCD(1, 105) = ( 1 x 105 ) / 105

= 1 / 105

= 1

So, Greatest Common Divisor of 426, 375, 745, 105 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 530, 665, 845, 106
• GCD of 503, 442, 109, 499
• GCD of 498, 637, 435, 658
• GCD of 200, 824, 680, 209
• GCD of 784, 514, 266, 839

Given numbers are 426, 375, 745, 105
The greatest common divisor of numbers 426, 375, 745, 105 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 426, 375, 745, 105 is 1.

1. What is the GCD of 426, 375, 745, 105?

GCD of given numbers 426, 375, 745, 105 is 1

2. How to calculate the greatest common divisor of 426, 375, 745, 105?

We can find the highest common divisor of 426, 375, 745, 105 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 426, 375, 745, 105 i.e 1.

3. How can I use the GCD of 426, 375, 745, 105Calculator?

Out the numbers 426, 375, 745, 105 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.