GCD of 718, 987, 914, 678 Calculator

Given Input numbers are 718, 987, 914, 678

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

Divisors of 718 :

The positive integer divisors of 718 that completely divides 718 are.

1, 2, 359, 718

Divisors of 987 :

The positive integer divisors of 987 that completely divides 987 are.

1, 3, 7, 21, 47, 141, 329, 987

Divisors of 914 :

The positive integer divisors of 914 that completely divides 914 are.

1, 2, 457, 914

Divisors of 678 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (718, 987, 914, 678) = 1.

Given numbers are 718, 987, 914, 678

The list of prime factors of all numbers are

Prime factors of 718 are 2 x 359

Prime factors of 987 are 3 x 7 x 47

Prime factors of 914 are 2 x 457

Prime factors of 678 are 2 x 3 x 113

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

Given numbers are 718, 987, 914, 678

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

Apply this formula for all numbers.

Step1:

LCM(718, 987) = 708666

GCD(718, 987) = ( 718 x 987 ) / 708666

= 718 / 987

= 718

Step2:

LCM(1, 914) = 914

GCD(1, 914) = ( 1 x 914 ) / 914

= 1 / 914

= 1

Step3:

LCM(1, 678) = 678

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

= 1 / 678

= 1

So, Greatest Common Divisor of 718, 987, 914, 678 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 643, 662, 136, 232
• GCD of 309, 273, 661, 970
• GCD of 442, 351, 853, 787
• GCD of 684, 217, 457, 936
• GCD of 878, 235, 512, 465

Given numbers are 718, 987, 914, 678
The greatest common divisor of numbers 718, 987, 914, 678 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 718, 987, 914, 678 is 1.

1. What is the GCD of 718, 987, 914, 678?

GCD of given numbers 718, 987, 914, 678 is 1

2. How to calculate the greatest common divisor of 718, 987, 914, 678?

We can find the highest common divisor of 718, 987, 914, 678 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 718, 987, 914, 678 i.e 1.

3. How can I use the GCD of 718, 987, 914, 678Calculator?

Out the numbers 718, 987, 914, 678 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.