GCD of 843, 496, 749, 420 Calculator

Given Input numbers are 843, 496, 749, 420

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

Divisors of 843 :

The positive integer divisors of 843 that completely divides 843 are.

1, 3, 281, 843

Divisors of 496 :

The positive integer divisors of 496 that completely divides 496 are.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 749 :

The positive integer divisors of 749 that completely divides 749 are.

1, 7, 107, 749

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

GCD of numbers is the greatest common divisor

So, the GCD (843, 496, 749, 420) = 1.

Given numbers are 843, 496, 749, 420

The list of prime factors of all numbers are

Prime factors of 843 are 3 x 281

Prime factors of 496 are 2 x 2 x 2 x 2 x 31

Prime factors of 749 are 7 x 107

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

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

Given numbers are 843, 496, 749, 420

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

Apply this formula for all numbers.

Step1:

LCM(843, 496) = 418128

GCD(843, 496) = ( 843 x 496 ) / 418128

= 843 / 496

= 843

Step2:

LCM(1, 749) = 749

GCD(1, 749) = ( 1 x 749 ) / 749

= 1 / 749

= 1

Step3:

LCM(1, 420) = 420

GCD(1, 420) = ( 1 x 420 ) / 420

= 1 / 420

= 1

So, Greatest Common Divisor of 843, 496, 749, 420 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 597, 224, 535, 392
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Given numbers are 843, 496, 749, 420
The greatest common divisor of numbers 843, 496, 749, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 843, 496, 749, 420 is 1.

1. What is the GCD of 843, 496, 749, 420?

GCD of given numbers 843, 496, 749, 420 is 1

2. How to calculate the greatest common divisor of 843, 496, 749, 420?

We can find the highest common divisor of 843, 496, 749, 420 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 843, 496, 749, 420 i.e 1.

3. How can I use the GCD of 843, 496, 749, 420Calculator?

Out the numbers 843, 496, 749, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.