GCD of 490, 896, 753, 336 Calculator

Given Input numbers are 490, 896, 753, 336

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

Divisors of 490 :

The positive integer divisors of 490 that completely divides 490 are.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Divisors of 896 :

The positive integer divisors of 896 that completely divides 896 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Divisors of 753 :

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

1, 3, 251, 753

Divisors of 336 :

The positive integer divisors of 336 that completely divides 336 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

GCD of numbers is the greatest common divisor

So, the GCD (490, 896, 753, 336) = 1.

Given numbers are 490, 896, 753, 336

The list of prime factors of all numbers are

Prime factors of 490 are 2 x 5 x 7 x 7

Prime factors of 896 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 753 are 3 x 251

Prime factors of 336 are 2 x 2 x 2 x 2 x 3 x 7

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

Given numbers are 490, 896, 753, 336

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

Apply this formula for all numbers.

Step1:

LCM(490, 896) = 31360

GCD(490, 896) = ( 490 x 896 ) / 31360

= 490 / 896

= 490

Step2:

LCM(14, 753) = 10542

GCD(14, 753) = ( 14 x 753 ) / 10542

= 14 / 753

= 14

Step3:

LCM(1, 336) = 336

GCD(1, 336) = ( 1 x 336 ) / 336

= 1 / 336

= 1

So, Greatest Common Divisor of 490, 896, 753, 336 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 420, 891, 233, 410
• GCD of 820, 634, 961, 560
• GCD of 208, 451, 446, 971
• GCD of 127, 252, 280, 547
• GCD of 378, 156, 356, 837

Given numbers are 490, 896, 753, 336
The greatest common divisor of numbers 490, 896, 753, 336 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 490, 896, 753, 336 is 1.

1. What is the GCD of 490, 896, 753, 336?

GCD of given numbers 490, 896, 753, 336 is 1

2. How to calculate the greatest common divisor of 490, 896, 753, 336?

We can find the highest common divisor of 490, 896, 753, 336 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 490, 896, 753, 336 i.e 1.

3. How can I use the GCD of 490, 896, 753, 336Calculator?

Out the numbers 490, 896, 753, 336 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.