GCD of 678, 542, 548, 107 Calculator

Given Input numbers are 678, 542, 548, 107

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 542 :

The positive integer divisors of 542 that completely divides 542 are.

1, 2, 271, 542

Divisors of 548 :

The positive integer divisors of 548 that completely divides 548 are.

1, 2, 4, 137, 274, 548

Divisors of 107 :

The positive integer divisors of 107 that completely divides 107 are.

1, 107

GCD of numbers is the greatest common divisor

So, the GCD (678, 542, 548, 107) = 1.

Given numbers are 678, 542, 548, 107

The list of prime factors of all numbers are

Prime factors of 678 are 2 x 3 x 113

Prime factors of 542 are 2 x 271

Prime factors of 548 are 2 x 2 x 137

Prime factors of 107 are 107

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

Given numbers are 678, 542, 548, 107

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

Apply this formula for all numbers.

Step1:

LCM(678, 542) = 183738

GCD(678, 542) = ( 678 x 542 ) / 183738

= 678 / 542

= 678

Step2:

LCM(2, 548) = 548

GCD(2, 548) = ( 2 x 548 ) / 548

= 2 / 548

= 2

Step3:

LCM(2, 107) = 214

GCD(2, 107) = ( 2 x 107 ) / 214

= 2 / 107

= 2

So, Greatest Common Divisor of 678, 542, 548, 107 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 811, 536, 137, 583
• GCD of 130, 268, 793, 267
• GCD of 903, 196, 723, 630
• GCD of 749, 225, 268, 838
• GCD of 606, 194, 794, 391

Given numbers are 678, 542, 548, 107
The greatest common divisor of numbers 678, 542, 548, 107 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 678, 542, 548, 107 is 1.

1. What is the GCD of 678, 542, 548, 107?

GCD of given numbers 678, 542, 548, 107 is 1

2. How to calculate the greatest common divisor of 678, 542, 548, 107?

We can find the highest common divisor of 678, 542, 548, 107 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, 542, 548, 107 i.e 1.

3. How can I use the GCD of 678, 542, 548, 107Calculator?

Out the numbers 678, 542, 548, 107 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.