GCD of 678, 694, 661, 820 Calculator

Given Input numbers are 678, 694, 661, 820

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 694 :

The positive integer divisors of 694 that completely divides 694 are.

1, 2, 347, 694

Divisors of 661 :

The positive integer divisors of 661 that completely divides 661 are.

1, 661

Divisors of 820 :

The positive integer divisors of 820 that completely divides 820 are.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

GCD of numbers is the greatest common divisor

So, the GCD (678, 694, 661, 820) = 1.

Given numbers are 678, 694, 661, 820

The list of prime factors of all numbers are

Prime factors of 678 are 2 x 3 x 113

Prime factors of 694 are 2 x 347

Prime factors of 661 are 661

Prime factors of 820 are 2 x 2 x 5 x 41

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

Given numbers are 678, 694, 661, 820

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

Apply this formula for all numbers.

Step1:

LCM(678, 694) = 235266

GCD(678, 694) = ( 678 x 694 ) / 235266

= 678 / 694

= 678

Step2:

LCM(2, 661) = 1322

GCD(2, 661) = ( 2 x 661 ) / 1322

= 2 / 661

= 2

Step3:

LCM(1, 820) = 820

GCD(1, 820) = ( 1 x 820 ) / 820

= 1 / 820

= 1

So, Greatest Common Divisor of 678, 694, 661, 820 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 664, 407, 368, 979
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Given numbers are 678, 694, 661, 820
The greatest common divisor of numbers 678, 694, 661, 820 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 678, 694, 661, 820 is 1.

1. What is the GCD of 678, 694, 661, 820?

GCD of given numbers 678, 694, 661, 820 is 1

2. How to calculate the greatest common divisor of 678, 694, 661, 820?

We can find the highest common divisor of 678, 694, 661, 820 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, 694, 661, 820 i.e 1.

3. How can I use the GCD of 678, 694, 661, 820Calculator?

Out the numbers 678, 694, 661, 820 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.