GCD of 722, 197, 678, 315 Calculator

Given Input numbers are 722, 197, 678, 315

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

Divisors of 722 :

The positive integer divisors of 722 that completely divides 722 are.

1, 2, 19, 38, 361, 722

Divisors of 197 :

The positive integer divisors of 197 that completely divides 197 are.

1, 197

Divisors of 678 :

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

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

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 (722, 197, 678, 315) = 1.

Given numbers are 722, 197, 678, 315

The list of prime factors of all numbers are

Prime factors of 722 are 2 x 19 x 19

Prime factors of 197 are 197

Prime factors of 678 are 2 x 3 x 113

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 722, 197, 678, 315

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

Apply this formula for all numbers.

Step1:

LCM(722, 197) = 142234

GCD(722, 197) = ( 722 x 197 ) / 142234

= 722 / 197

= 722

Step2:

LCM(1, 678) = 678

GCD(1, 678) = ( 1 x 678 ) / 678

= 1 / 678

= 1

Step3:

LCM(1, 315) = 315

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

= 1 / 315

= 1

So, Greatest Common Divisor of 722, 197, 678, 315 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 550, 882, 472, 673
• GCD of 345, 499, 441, 192
• GCD of 785, 490, 798, 892
• GCD of 552, 408, 385, 228
• GCD of 672, 737, 464, 305

Given numbers are 722, 197, 678, 315
The greatest common divisor of numbers 722, 197, 678, 315 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 722, 197, 678, 315 is 1.

1. What is the GCD of 722, 197, 678, 315?

GCD of given numbers 722, 197, 678, 315 is 1

2. How to calculate the greatest common divisor of 722, 197, 678, 315?

We can find the highest common divisor of 722, 197, 678, 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 722, 197, 678, 315 i.e 1.

3. How can I use the GCD of 722, 197, 678, 315Calculator?

Out the numbers 722, 197, 678, 315 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.