GCD of 496, 996, 49, 421 Calculator

Given Input numbers are 496, 996, 49, 421

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

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 996 :

The positive integer divisors of 996 that completely divides 996 are.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 49 :

The positive integer divisors of 49 that completely divides 49 are.

1, 7, 49

Divisors of 421 :

The positive integer divisors of 421 that completely divides 421 are.

1, 421

GCD of numbers is the greatest common divisor

So, the GCD (496, 996, 49, 421) = 1.

Given numbers are 496, 996, 49, 421

The list of prime factors of all numbers are

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

Prime factors of 996 are 2 x 2 x 3 x 83

Prime factors of 49 are 7 x 7

Prime factors of 421 are 421

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

Given numbers are 496, 996, 49, 421

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

Apply this formula for all numbers.

Step1:

LCM(496, 996) = 123504

GCD(496, 996) = ( 496 x 996 ) / 123504

= 496 / 996

= 496

Step2:

LCM(4, 49) = 196

GCD(4, 49) = ( 4 x 49 ) / 196

= 4 / 49

= 4

Step3:

LCM(1, 421) = 421

GCD(1, 421) = ( 1 x 421 ) / 421

= 1 / 421

= 1

So, Greatest Common Divisor of 496, 996, 49, 421 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 363, 767, 20, 696
• GCD of 461, 360, 73, 436
• GCD of 518, 198, 33, 309
• GCD of 202, 893, 87, 669
• GCD of 187, 162, 69, 117

Given numbers are 496, 996, 49, 421
The greatest common divisor of numbers 496, 996, 49, 421 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 496, 996, 49, 421 is 1.

1. What is the GCD of 496, 996, 49, 421?

GCD of given numbers 496, 996, 49, 421 is 1

2. How to calculate the greatest common divisor of 496, 996, 49, 421?

We can find the highest common divisor of 496, 996, 49, 421 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 496, 996, 49, 421 i.e 1.

3. How can I use the GCD of 496, 996, 49, 421Calculator?

Out the numbers 496, 996, 49, 421 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.