GCD of 189, 242, 946, 724 Calculator

Given Input numbers are 189, 242, 946, 724

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

Divisors of 189 :

The positive integer divisors of 189 that completely divides 189 are.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 242 :

The positive integer divisors of 242 that completely divides 242 are.

1, 2, 11, 22, 121, 242

Divisors of 946 :

The positive integer divisors of 946 that completely divides 946 are.

1, 2, 11, 22, 43, 86, 473, 946

Divisors of 724 :

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

1, 2, 4, 181, 362, 724

GCD of numbers is the greatest common divisor

So, the GCD (189, 242, 946, 724) = 1.

Given numbers are 189, 242, 946, 724

The list of prime factors of all numbers are

Prime factors of 189 are 3 x 3 x 3 x 7

Prime factors of 242 are 2 x 11 x 11

Prime factors of 946 are 2 x 11 x 43

Prime factors of 724 are 2 x 2 x 181

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

Given numbers are 189, 242, 946, 724

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

Apply this formula for all numbers.

Step1:

LCM(189, 242) = 45738

GCD(189, 242) = ( 189 x 242 ) / 45738

= 189 / 242

= 189

Step2:

LCM(1, 946) = 946

GCD(1, 946) = ( 1 x 946 ) / 946

= 1 / 946

= 1

Step3:

LCM(1, 724) = 724

GCD(1, 724) = ( 1 x 724 ) / 724

= 1 / 724

= 1

So, Greatest Common Divisor of 189, 242, 946, 724 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 338, 977, 434, 130
• GCD of 121, 960, 851, 234
• GCD of 170, 635, 910, 426
• GCD of 693, 306, 894, 937
• GCD of 535, 865, 769, 570

Given numbers are 189, 242, 946, 724
The greatest common divisor of numbers 189, 242, 946, 724 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 189, 242, 946, 724 is 1.

1. What is the GCD of 189, 242, 946, 724?

GCD of given numbers 189, 242, 946, 724 is 1

2. How to calculate the greatest common divisor of 189, 242, 946, 724?

We can find the highest common divisor of 189, 242, 946, 724 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 189, 242, 946, 724 i.e 1.

3. How can I use the GCD of 189, 242, 946, 724Calculator?

Out the numbers 189, 242, 946, 724 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.