GCD of 120, 454, 305, 548 Calculator

Given Input numbers are 120, 454, 305, 548

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

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 454 :

The positive integer divisors of 454 that completely divides 454 are.

1, 2, 227, 454

Divisors of 305 :

The positive integer divisors of 305 that completely divides 305 are.

1, 5, 61, 305

Divisors of 548 :

The positive integer divisors of 548 that completely divides 548 are.

1, 2, 4, 137, 274, 548

GCD of numbers is the greatest common divisor

So, the GCD (120, 454, 305, 548) = 1.

Given numbers are 120, 454, 305, 548

The list of prime factors of all numbers are

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 454 are 2 x 227

Prime factors of 305 are 5 x 61

Prime factors of 548 are 2 x 2 x 137

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

Given numbers are 120, 454, 305, 548

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

Apply this formula for all numbers.

Step1:

LCM(120, 454) = 27240

GCD(120, 454) = ( 120 x 454 ) / 27240

= 120 / 454

= 120

Step2:

LCM(2, 305) = 610

GCD(2, 305) = ( 2 x 305 ) / 610

= 2 / 305

= 2

Step3:

LCM(1, 548) = 548

GCD(1, 548) = ( 1 x 548 ) / 548

= 1 / 548

= 1

So, Greatest Common Divisor of 120, 454, 305, 548 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 917, 625, 859, 344
• GCD of 221, 708, 645, 526
• GCD of 705, 273, 237, 326
• GCD of 511, 754, 955, 962
• GCD of 871, 843, 430, 488

Given numbers are 120, 454, 305, 548
The greatest common divisor of numbers 120, 454, 305, 548 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 454, 305, 548 is 1.

1. What is the GCD of 120, 454, 305, 548?

GCD of given numbers 120, 454, 305, 548 is 1

2. How to calculate the greatest common divisor of 120, 454, 305, 548?

We can find the highest common divisor of 120, 454, 305, 548 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 120, 454, 305, 548 i.e 1.

3. How can I use the GCD of 120, 454, 305, 548Calculator?

Out the numbers 120, 454, 305, 548 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.