GCD of 375, 847, 428, 314 Calculator

Given Input numbers are 375, 847, 428, 314

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

Divisors of 375 :

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

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

Divisors of 847 :

The positive integer divisors of 847 that completely divides 847 are.

1, 7, 11, 77, 121, 847

Divisors of 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

Divisors of 314 :

The positive integer divisors of 314 that completely divides 314 are.

1, 2, 157, 314

GCD of numbers is the greatest common divisor

So, the GCD (375, 847, 428, 314) = 1.

Given numbers are 375, 847, 428, 314

The list of prime factors of all numbers are

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

Prime factors of 847 are 7 x 11 x 11

Prime factors of 428 are 2 x 2 x 107

Prime factors of 314 are 2 x 157

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

Given numbers are 375, 847, 428, 314

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

Apply this formula for all numbers.

Step1:

LCM(375, 847) = 317625

GCD(375, 847) = ( 375 x 847 ) / 317625

= 375 / 847

= 375

Step2:

LCM(1, 428) = 428

GCD(1, 428) = ( 1 x 428 ) / 428

= 1 / 428

= 1

Step3:

LCM(1, 314) = 314

GCD(1, 314) = ( 1 x 314 ) / 314

= 1 / 314

= 1

So, Greatest Common Divisor of 375, 847, 428, 314 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 892, 332, 258, 676
• GCD of 407, 385, 215, 734
• GCD of 600, 464, 421, 923
• GCD of 802, 156, 486, 944
• GCD of 226, 356, 212, 834

Given numbers are 375, 847, 428, 314
The greatest common divisor of numbers 375, 847, 428, 314 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 375, 847, 428, 314 is 1.

1. What is the GCD of 375, 847, 428, 314?

GCD of given numbers 375, 847, 428, 314 is 1

2. How to calculate the greatest common divisor of 375, 847, 428, 314?

We can find the highest common divisor of 375, 847, 428, 314 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 375, 847, 428, 314 i.e 1.

3. How can I use the GCD of 375, 847, 428, 314Calculator?

Out the numbers 375, 847, 428, 314 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.