GCD of 51, 77, 38, 58 Calculator

Given Input numbers are 51, 77, 38, 58

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

Divisors of 51 :

The positive integer divisors of 51 that completely divides 51 are.

1, 3, 17, 51

Divisors of 77 :

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

1, 7, 11, 77

Divisors of 38 :

The positive integer divisors of 38 that completely divides 38 are.

1, 2, 19, 38

Divisors of 58 :

The positive integer divisors of 58 that completely divides 58 are.

1, 2, 29, 58

GCD of numbers is the greatest common divisor

So, the GCD (51, 77, 38, 58) = 1.

Given numbers are 51, 77, 38, 58

The list of prime factors of all numbers are

Prime factors of 51 are 3 x 17

Prime factors of 77 are 7 x 11

Prime factors of 38 are 2 x 19

Prime factors of 58 are 2 x 29

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

Given numbers are 51, 77, 38, 58

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

Apply this formula for all numbers.

Step1:

LCM(51, 77) = 3927

GCD(51, 77) = ( 51 x 77 ) / 3927

= 51 / 77

= 51

Step2:

LCM(1, 38) = 38

GCD(1, 38) = ( 1 x 38 ) / 38

= 1 / 38

= 1

Step3:

LCM(1, 58) = 58

GCD(1, 58) = ( 1 x 58 ) / 58

= 1 / 58

= 1

So, Greatest Common Divisor of 51, 77, 38, 58 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 56, 71, 24, 49
• GCD of 45, 49, 88, 50
• GCD of 86, 99, 27, 37
• GCD of 57, 17, 87, 66
• GCD of 67, 13, 53, 25

Given numbers are 51, 77, 38, 58
The greatest common divisor of numbers 51, 77, 38, 58 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 51, 77, 38, 58 is 1.

1. What is the GCD of 51, 77, 38, 58?

GCD of given numbers 51, 77, 38, 58 is 1

2. How to calculate the greatest common divisor of 51, 77, 38, 58?

We can find the highest common divisor of 51, 77, 38, 58 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 51, 77, 38, 58 i.e 1.

3. How can I use the GCD of 51, 77, 38, 58Calculator?

Out the numbers 51, 77, 38, 58 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.