GCD of 724, 942, 420, 471 Calculator

Given Input numbers are 724, 942, 420, 471

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

Divisors of 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

Divisors of 942 :

The positive integer divisors of 942 that completely divides 942 are.

1, 2, 3, 6, 157, 314, 471, 942

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 471 :

The positive integer divisors of 471 that completely divides 471 are.

1, 3, 157, 471

GCD of numbers is the greatest common divisor

So, the GCD (724, 942, 420, 471) = 1.

Given numbers are 724, 942, 420, 471

The list of prime factors of all numbers are

Prime factors of 724 are 2 x 2 x 181

Prime factors of 942 are 2 x 3 x 157

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 471 are 3 x 157

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

Given numbers are 724, 942, 420, 471

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

Apply this formula for all numbers.

Step1:

LCM(724, 942) = 341004

GCD(724, 942) = ( 724 x 942 ) / 341004

= 724 / 942

= 724

Step2:

LCM(2, 420) = 420

GCD(2, 420) = ( 2 x 420 ) / 420

= 2 / 420

= 2

Step3:

LCM(2, 471) = 942

GCD(2, 471) = ( 2 x 471 ) / 942

= 2 / 471

= 2

So, Greatest Common Divisor of 724, 942, 420, 471 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 251, 149, 400, 300
• GCD of 624, 453, 467, 972
• GCD of 588, 597, 212, 515
• GCD of 753, 394, 495, 164
• GCD of 562, 434, 842, 685

Given numbers are 724, 942, 420, 471
The greatest common divisor of numbers 724, 942, 420, 471 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 724, 942, 420, 471 is 1.

1. What is the GCD of 724, 942, 420, 471?

GCD of given numbers 724, 942, 420, 471 is 1

2. How to calculate the greatest common divisor of 724, 942, 420, 471?

We can find the highest common divisor of 724, 942, 420, 471 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 724, 942, 420, 471 i.e 1.

3. How can I use the GCD of 724, 942, 420, 471Calculator?

Out the numbers 724, 942, 420, 471 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.