GCD of 77, 20, 87, 71 Calculator

Given Input numbers are 77, 20, 87, 71

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

Divisors of 77 :

The positive integer divisors of 77 that completely divides 77 are.

1, 7, 11, 77

Divisors of 20 :

The positive integer divisors of 20 that completely divides 20 are.

1, 2, 4, 5, 10, 20

Divisors of 87 :

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

1, 3, 29, 87

Divisors of 71 :

The positive integer divisors of 71 that completely divides 71 are.

1, 71

GCD of numbers is the greatest common divisor

So, the GCD (77, 20, 87, 71) = 1.

Given numbers are 77, 20, 87, 71

The list of prime factors of all numbers are

Prime factors of 77 are 7 x 11

Prime factors of 20 are 2 x 2 x 5

Prime factors of 87 are 3 x 29

Prime factors of 71 are 71

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

Given numbers are 77, 20, 87, 71

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

Apply this formula for all numbers.

Step1:

LCM(77, 20) = 1540

GCD(77, 20) = ( 77 x 20 ) / 1540

= 77 / 20

= 77

Step2:

LCM(1, 87) = 87

GCD(1, 87) = ( 1 x 87 ) / 87

= 1 / 87

= 1

Step3:

LCM(1, 71) = 71

GCD(1, 71) = ( 1 x 71 ) / 71

= 1 / 71

= 1

So, Greatest Common Divisor of 77, 20, 87, 71 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 94, 51, 53, 57
• GCD of 94, 64, 17, 60
• GCD of 13, 62, 77, 21
• GCD of 97, 73, 34, 82
• GCD of 43, 70, 52, 94

Given numbers are 77, 20, 87, 71
The greatest common divisor of numbers 77, 20, 87, 71 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 77, 20, 87, 71 is 1.

1. What is the GCD of 77, 20, 87, 71?

GCD of given numbers 77, 20, 87, 71 is 1

2. How to calculate the greatest common divisor of 77, 20, 87, 71?

We can find the highest common divisor of 77, 20, 87, 71 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 77, 20, 87, 71 i.e 1.

3. How can I use the GCD of 77, 20, 87, 71Calculator?

Out the numbers 77, 20, 87, 71 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.