GCD of 29, 14, 28, 77 Calculator

Given Input numbers are 29, 14, 28, 77

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

Divisors of 29 :

The positive integer divisors of 29 that completely divides 29 are.

1, 29

Divisors of 14 :

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

1, 2, 7, 14

Divisors of 28 :

The positive integer divisors of 28 that completely divides 28 are.

1, 2, 4, 7, 14, 28

Divisors of 77 :

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

1, 7, 11, 77

GCD of numbers is the greatest common divisor

So, the GCD (29, 14, 28, 77) = 1.

Given numbers are 29, 14, 28, 77

The list of prime factors of all numbers are

Prime factors of 29 are 29

Prime factors of 14 are 2 x 7

Prime factors of 28 are 2 x 2 x 7

Prime factors of 77 are 7 x 11

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

Given numbers are 29, 14, 28, 77

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

Apply this formula for all numbers.

Step1:

LCM(29, 14) = 406

GCD(29, 14) = ( 29 x 14 ) / 406

= 29 / 14

= 29

Step2:

LCM(1, 28) = 28

GCD(1, 28) = ( 1 x 28 ) / 28

= 1 / 28

= 1

Step3:

LCM(1, 77) = 77

GCD(1, 77) = ( 1 x 77 ) / 77

= 1 / 77

= 1

So, Greatest Common Divisor of 29, 14, 28, 77 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 90, 94, 74, 41
• GCD of 55, 75, 95, 64
• GCD of 76, 48, 31, 17
• GCD of 28, 63, 55, 81
• GCD of 37, 84, 30, 51

Given numbers are 29, 14, 28, 77
The greatest common divisor of numbers 29, 14, 28, 77 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 29, 14, 28, 77 is 1.

1. What is the GCD of 29, 14, 28, 77?

GCD of given numbers 29, 14, 28, 77 is 1

2. How to calculate the greatest common divisor of 29, 14, 28, 77?

We can find the highest common divisor of 29, 14, 28, 77 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 29, 14, 28, 77 i.e 1.

3. How can I use the GCD of 29, 14, 28, 77Calculator?

Out the numbers 29, 14, 28, 77 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.