GCD of 120, 338, 731, 525 Calculator

Given Input numbers are 120, 338, 731, 525

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 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

Divisors of 731 :

The positive integer divisors of 731 that completely divides 731 are.

1, 17, 43, 731

Divisors of 525 :

The positive integer divisors of 525 that completely divides 525 are.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

GCD of numbers is the greatest common divisor

So, the GCD (120, 338, 731, 525) = 1.

Given numbers are 120, 338, 731, 525

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 338 are 2 x 13 x 13

Prime factors of 731 are 17 x 43

Prime factors of 525 are 3 x 5 x 5 x 7

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

Given numbers are 120, 338, 731, 525

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

Apply this formula for all numbers.

Step1:

LCM(120, 338) = 20280

GCD(120, 338) = ( 120 x 338 ) / 20280

= 120 / 338

= 120

Step2:

LCM(2, 731) = 1462

GCD(2, 731) = ( 2 x 731 ) / 1462

= 2 / 731

= 2

Step3:

LCM(1, 525) = 525

GCD(1, 525) = ( 1 x 525 ) / 525

= 1 / 525

= 1

So, Greatest Common Divisor of 120, 338, 731, 525 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 795, 192, 600, 427
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• GCD of 460, 312, 263, 864
• GCD of 578, 321, 444, 924
• GCD of 357, 660, 113, 577

Given numbers are 120, 338, 731, 525
The greatest common divisor of numbers 120, 338, 731, 525 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 338, 731, 525 is 1.

1. What is the GCD of 120, 338, 731, 525?

GCD of given numbers 120, 338, 731, 525 is 1

2. How to calculate the greatest common divisor of 120, 338, 731, 525?

We can find the highest common divisor of 120, 338, 731, 525 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, 338, 731, 525 i.e 1.

3. How can I use the GCD of 120, 338, 731, 525Calculator?

Out the numbers 120, 338, 731, 525 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.