GCD of 54, 67, 74, 10 Calculator

Given Input numbers are 54, 67, 74, 10

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

Divisors of 54 :

The positive integer divisors of 54 that completely divides 54 are.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 67 :

The positive integer divisors of 67 that completely divides 67 are.

1, 67

Divisors of 74 :

The positive integer divisors of 74 that completely divides 74 are.

1, 2, 37, 74

Divisors of 10 :

The positive integer divisors of 10 that completely divides 10 are.

1, 2, 5, 10

GCD of numbers is the greatest common divisor

So, the GCD (54, 67, 74, 10) = 1.

Given numbers are 54, 67, 74, 10

The list of prime factors of all numbers are

Prime factors of 54 are 2 x 3 x 3 x 3

Prime factors of 67 are 67

Prime factors of 74 are 2 x 37

Prime factors of 10 are 2 x 5

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

Given numbers are 54, 67, 74, 10

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

Apply this formula for all numbers.

Step1:

LCM(54, 67) = 3618

GCD(54, 67) = ( 54 x 67 ) / 3618

= 54 / 67

= 54

Step2:

LCM(1, 74) = 74

GCD(1, 74) = ( 1 x 74 ) / 74

= 1 / 74

= 1

Step3:

LCM(1, 10) = 10

GCD(1, 10) = ( 1 x 10 ) / 10

= 1 / 10

= 1

So, Greatest Common Divisor of 54, 67, 74, 10 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 50, 65, 37, 58
• GCD of 82, 35, 95, 89
• GCD of 57, 33, 64, 29
• GCD of 43, 75, 54, 99
• GCD of 11, 13, 40, 77

Given numbers are 54, 67, 74, 10
The greatest common divisor of numbers 54, 67, 74, 10 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 54, 67, 74, 10 is 1.

1. What is the GCD of 54, 67, 74, 10?

GCD of given numbers 54, 67, 74, 10 is 1

2. How to calculate the greatest common divisor of 54, 67, 74, 10?

We can find the highest common divisor of 54, 67, 74, 10 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 54, 67, 74, 10 i.e 1.

3. How can I use the GCD of 54, 67, 74, 10Calculator?

Out the numbers 54, 67, 74, 10 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.