GCD of 678, 254, 689, 702 Calculator

Given Input numbers are 678, 254, 689, 702

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 254 :

The positive integer divisors of 254 that completely divides 254 are.

1, 2, 127, 254

Divisors of 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689

Divisors of 702 :

The positive integer divisors of 702 that completely divides 702 are.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

GCD of numbers is the greatest common divisor

So, the GCD (678, 254, 689, 702) = 1.

Given numbers are 678, 254, 689, 702

The list of prime factors of all numbers are

Prime factors of 678 are 2 x 3 x 113

Prime factors of 254 are 2 x 127

Prime factors of 689 are 13 x 53

Prime factors of 702 are 2 x 3 x 3 x 3 x 13

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

Given numbers are 678, 254, 689, 702

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

Apply this formula for all numbers.

Step1:

LCM(678, 254) = 86106

GCD(678, 254) = ( 678 x 254 ) / 86106

= 678 / 254

= 678

Step2:

LCM(2, 689) = 1378

GCD(2, 689) = ( 2 x 689 ) / 1378

= 2 / 689

= 2

Step3:

LCM(1, 702) = 702

GCD(1, 702) = ( 1 x 702 ) / 702

= 1 / 702

= 1

So, Greatest Common Divisor of 678, 254, 689, 702 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 218, 900, 514, 383
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• GCD of 825, 735, 245, 345
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• GCD of 877, 439, 500, 951

Given numbers are 678, 254, 689, 702
The greatest common divisor of numbers 678, 254, 689, 702 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 678, 254, 689, 702 is 1.

1. What is the GCD of 678, 254, 689, 702?

GCD of given numbers 678, 254, 689, 702 is 1

2. How to calculate the greatest common divisor of 678, 254, 689, 702?

We can find the highest common divisor of 678, 254, 689, 702 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, 254, 689, 702 i.e 1.

3. How can I use the GCD of 678, 254, 689, 702Calculator?

Out the numbers 678, 254, 689, 702 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.