GCD of 678, 148, 371, 315 Calculator

Given Input numbers are 678, 148, 371, 315

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

Divisors of 678 :

The positive integer divisors of 678 that completely divides 678 are.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 148 :

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

1, 2, 4, 37, 74, 148

Divisors of 371 :

The positive integer divisors of 371 that completely divides 371 are.

1, 7, 53, 371

Divisors of 315 :

The positive integer divisors of 315 that completely divides 315 are.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

GCD of numbers is the greatest common divisor

So, the GCD (678, 148, 371, 315) = 1.

Given numbers are 678, 148, 371, 315

The list of prime factors of all numbers are

Prime factors of 678 are 2 x 3 x 113

Prime factors of 148 are 2 x 2 x 37

Prime factors of 371 are 7 x 53

Prime factors of 315 are 3 x 3 x 5 x 7

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

Given numbers are 678, 148, 371, 315

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

Apply this formula for all numbers.

Step1:

LCM(678, 148) = 50172

GCD(678, 148) = ( 678 x 148 ) / 50172

= 678 / 148

= 678

Step2:

LCM(2, 371) = 742

GCD(2, 371) = ( 2 x 371 ) / 742

= 2 / 371

= 2

Step3:

LCM(1, 315) = 315

GCD(1, 315) = ( 1 x 315 ) / 315

= 1 / 315

= 1

So, Greatest Common Divisor of 678, 148, 371, 315 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 126, 196, 744, 760
• GCD of 581, 636, 418, 690
• GCD of 730, 349, 476, 893
• GCD of 704, 979, 422, 699
• GCD of 194, 652, 491, 837

Given numbers are 678, 148, 371, 315
The greatest common divisor of numbers 678, 148, 371, 315 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 678, 148, 371, 315 is 1.

1. What is the GCD of 678, 148, 371, 315?

GCD of given numbers 678, 148, 371, 315 is 1

2. How to calculate the greatest common divisor of 678, 148, 371, 315?

We can find the highest common divisor of 678, 148, 371, 315 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 678, 148, 371, 315 i.e 1.

3. How can I use the GCD of 678, 148, 371, 315Calculator?

Out the numbers 678, 148, 371, 315 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.