GCD of 840, 393, 725, 171 Calculator

Given Input numbers are 840, 393, 725, 171

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

Divisors of 840 :

The positive integer divisors of 840 that completely divides 840 are.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 393 :

The positive integer divisors of 393 that completely divides 393 are.

1, 3, 131, 393

Divisors of 725 :

The positive integer divisors of 725 that completely divides 725 are.

1, 5, 25, 29, 145, 725

Divisors of 171 :

The positive integer divisors of 171 that completely divides 171 are.

1, 3, 9, 19, 57, 171

GCD of numbers is the greatest common divisor

So, the GCD (840, 393, 725, 171) = 1.

Given numbers are 840, 393, 725, 171

The list of prime factors of all numbers are

Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7

Prime factors of 393 are 3 x 131

Prime factors of 725 are 5 x 5 x 29

Prime factors of 171 are 3 x 3 x 19

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

Given numbers are 840, 393, 725, 171

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

Apply this formula for all numbers.

Step1:

LCM(840, 393) = 110040

GCD(840, 393) = ( 840 x 393 ) / 110040

= 840 / 393

= 840

Step2:

LCM(3, 725) = 2175

GCD(3, 725) = ( 3 x 725 ) / 2175

= 3 / 725

= 3

Step3:

LCM(1, 171) = 171

GCD(1, 171) = ( 1 x 171 ) / 171

= 1 / 171

= 1

So, Greatest Common Divisor of 840, 393, 725, 171 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 638, 241, 336, 341
• GCD of 690, 206, 133, 251
• GCD of 348, 199, 884, 797
• GCD of 453, 666, 765, 368
• GCD of 213, 491, 735, 342

Given numbers are 840, 393, 725, 171
The greatest common divisor of numbers 840, 393, 725, 171 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 840, 393, 725, 171 is 1.

1. What is the GCD of 840, 393, 725, 171?

GCD of given numbers 840, 393, 725, 171 is 1

2. How to calculate the greatest common divisor of 840, 393, 725, 171?

We can find the highest common divisor of 840, 393, 725, 171 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 840, 393, 725, 171 i.e 1.

3. How can I use the GCD of 840, 393, 725, 171Calculator?

Out the numbers 840, 393, 725, 171 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.