GCD of 147, 552, 590, 120 Calculator

Given Input numbers are 147, 552, 590, 120

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

Divisors of 147 :

The positive integer divisors of 147 that completely divides 147 are.

1, 3, 7, 21, 49, 147

Divisors of 552 :

The positive integer divisors of 552 that completely divides 552 are.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

Divisors of 590 :

The positive integer divisors of 590 that completely divides 590 are.

1, 2, 5, 10, 59, 118, 295, 590

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

GCD of numbers is the greatest common divisor

So, the GCD (147, 552, 590, 120) = 1.

Given numbers are 147, 552, 590, 120

The list of prime factors of all numbers are

Prime factors of 147 are 3 x 7 x 7

Prime factors of 552 are 2 x 2 x 2 x 3 x 23

Prime factors of 590 are 2 x 5 x 59

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

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

Given numbers are 147, 552, 590, 120

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

Apply this formula for all numbers.

Step1:

LCM(147, 552) = 27048

GCD(147, 552) = ( 147 x 552 ) / 27048

= 147 / 552

= 147

Step2:

LCM(3, 590) = 1770

GCD(3, 590) = ( 3 x 590 ) / 1770

= 3 / 590

= 3

Step3:

LCM(1, 120) = 120

GCD(1, 120) = ( 1 x 120 ) / 120

= 1 / 120

= 1

So, Greatest Common Divisor of 147, 552, 590, 120 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 187, 313, 558, 337
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• GCD of 686, 500, 284, 722
• GCD of 896, 796, 618, 770
• GCD of 740, 341, 446, 836

Given numbers are 147, 552, 590, 120
The greatest common divisor of numbers 147, 552, 590, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 147, 552, 590, 120 is 1.

1. What is the GCD of 147, 552, 590, 120?

GCD of given numbers 147, 552, 590, 120 is 1

2. How to calculate the greatest common divisor of 147, 552, 590, 120?

We can find the highest common divisor of 147, 552, 590, 120 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 147, 552, 590, 120 i.e 1.

3. How can I use the GCD of 147, 552, 590, 120Calculator?

Out the numbers 147, 552, 590, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.