GCD of 124, 343, 720, 198 Calculator

Given Input numbers are 124, 343, 720, 198

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

Divisors of 124 :

The positive integer divisors of 124 that completely divides 124 are.

1, 2, 4, 31, 62, 124

Divisors of 343 :

The positive integer divisors of 343 that completely divides 343 are.

1, 7, 49, 343

Divisors of 720 :

The positive integer divisors of 720 that completely divides 720 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 198 :

The positive integer divisors of 198 that completely divides 198 are.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

GCD of numbers is the greatest common divisor

So, the GCD (124, 343, 720, 198) = 1.

Given numbers are 124, 343, 720, 198

The list of prime factors of all numbers are

Prime factors of 124 are 2 x 2 x 31

Prime factors of 343 are 7 x 7 x 7

Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 198 are 2 x 3 x 3 x 11

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

Given numbers are 124, 343, 720, 198

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

Apply this formula for all numbers.

Step1:

LCM(124, 343) = 42532

GCD(124, 343) = ( 124 x 343 ) / 42532

= 124 / 343

= 124

Step2:

LCM(1, 720) = 720

GCD(1, 720) = ( 1 x 720 ) / 720

= 1 / 720

= 1

Step3:

LCM(1, 198) = 198

GCD(1, 198) = ( 1 x 198 ) / 198

= 1 / 198

= 1

So, Greatest Common Divisor of 124, 343, 720, 198 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 919, 801, 845, 798
• GCD of 959, 330, 295, 673
• GCD of 472, 916, 619, 658
• GCD of 485, 482, 937, 632
• GCD of 183, 670, 293, 102

Given numbers are 124, 343, 720, 198
The greatest common divisor of numbers 124, 343, 720, 198 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 124, 343, 720, 198 is 1.

1. What is the GCD of 124, 343, 720, 198?

GCD of given numbers 124, 343, 720, 198 is 1

2. How to calculate the greatest common divisor of 124, 343, 720, 198?

We can find the highest common divisor of 124, 343, 720, 198 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 124, 343, 720, 198 i.e 1.

3. How can I use the GCD of 124, 343, 720, 198Calculator?

Out the numbers 124, 343, 720, 198 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.