GCD of 420, 998, 724, 753 Calculator

Given Input numbers are 420, 998, 724, 753

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

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 998 :

The positive integer divisors of 998 that completely divides 998 are.

1, 2, 499, 998

Divisors of 724 :

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

1, 2, 4, 181, 362, 724

Divisors of 753 :

The positive integer divisors of 753 that completely divides 753 are.

1, 3, 251, 753

GCD of numbers is the greatest common divisor

So, the GCD (420, 998, 724, 753) = 1.

Given numbers are 420, 998, 724, 753

The list of prime factors of all numbers are

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

Prime factors of 998 are 2 x 499

Prime factors of 724 are 2 x 2 x 181

Prime factors of 753 are 3 x 251

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

Given numbers are 420, 998, 724, 753

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

Apply this formula for all numbers.

Step1:

LCM(420, 998) = 209580

GCD(420, 998) = ( 420 x 998 ) / 209580

= 420 / 998

= 420

Step2:

LCM(2, 724) = 724

GCD(2, 724) = ( 2 x 724 ) / 724

= 2 / 724

= 2

Step3:

LCM(2, 753) = 1506

GCD(2, 753) = ( 2 x 753 ) / 1506

= 2 / 753

= 2

So, Greatest Common Divisor of 420, 998, 724, 753 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 911, 670, 366, 105
• GCD of 311, 604, 240, 417
• GCD of 947, 266, 299, 207
• GCD of 604, 854, 206, 799
• GCD of 991, 533, 193, 179

Given numbers are 420, 998, 724, 753
The greatest common divisor of numbers 420, 998, 724, 753 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 998, 724, 753 is 1.

1. What is the GCD of 420, 998, 724, 753?

GCD of given numbers 420, 998, 724, 753 is 1

2. How to calculate the greatest common divisor of 420, 998, 724, 753?

We can find the highest common divisor of 420, 998, 724, 753 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 420, 998, 724, 753 i.e 1.

3. How can I use the GCD of 420, 998, 724, 753Calculator?

Out the numbers 420, 998, 724, 753 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.