GCD of 87, 14, 97, 78 Calculator

Given Input numbers are 87, 14, 97, 78

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

Divisors of 87 :

The positive integer divisors of 87 that completely divides 87 are.

1, 3, 29, 87

Divisors of 14 :

The positive integer divisors of 14 that completely divides 14 are.

1, 2, 7, 14

Divisors of 97 :

The positive integer divisors of 97 that completely divides 97 are.

1, 97

Divisors of 78 :

The positive integer divisors of 78 that completely divides 78 are.

1, 2, 3, 6, 13, 26, 39, 78

GCD of numbers is the greatest common divisor

So, the GCD (87, 14, 97, 78) = 1.

Given numbers are 87, 14, 97, 78

The list of prime factors of all numbers are

Prime factors of 87 are 3 x 29

Prime factors of 14 are 2 x 7

Prime factors of 97 are 97

Prime factors of 78 are 2 x 3 x 13

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

Given numbers are 87, 14, 97, 78

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

Apply this formula for all numbers.

Step1:

LCM(87, 14) = 1218

GCD(87, 14) = ( 87 x 14 ) / 1218

= 87 / 14

= 87

Step2:

LCM(1, 97) = 97

GCD(1, 97) = ( 1 x 97 ) / 97

= 1 / 97

= 1

Step3:

LCM(1, 78) = 78

GCD(1, 78) = ( 1 x 78 ) / 78

= 1 / 78

= 1

So, Greatest Common Divisor of 87, 14, 97, 78 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 93, 47, 48, 69
• GCD of 29, 71, 85, 60
• GCD of 57, 35, 76, 11
• GCD of 41, 71, 47, 20
• GCD of 68, 85, 61, 29

Given numbers are 87, 14, 97, 78
The greatest common divisor of numbers 87, 14, 97, 78 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 87, 14, 97, 78 is 1.

1. What is the GCD of 87, 14, 97, 78?

GCD of given numbers 87, 14, 97, 78 is 1

2. How to calculate the greatest common divisor of 87, 14, 97, 78?

We can find the highest common divisor of 87, 14, 97, 78 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 87, 14, 97, 78 i.e 1.

3. How can I use the GCD of 87, 14, 97, 78Calculator?

Out the numbers 87, 14, 97, 78 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.