GCD of 490, 455, 660, 214 Calculator

Given Input numbers are 490, 455, 660, 214

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 455 :

The positive integer divisors of 455 that completely divides 455 are.

1, 5, 7, 13, 35, 65, 91, 455

Divisors of 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

GCD of numbers is the greatest common divisor

So, the GCD (490, 455, 660, 214) = 1.

Given numbers are 490, 455, 660, 214

The list of prime factors of all numbers are

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

Prime factors of 455 are 5 x 7 x 13

Prime factors of 660 are 2 x 2 x 3 x 5 x 11

Prime factors of 214 are 2 x 107

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

Given numbers are 490, 455, 660, 214

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

Apply this formula for all numbers.

Step1:

LCM(490, 455) = 6370

GCD(490, 455) = ( 490 x 455 ) / 6370

= 490 / 455

= 490

Step2:

LCM(35, 660) = 4620

GCD(35, 660) = ( 35 x 660 ) / 4620

= 35 / 660

= 35

Step3:

LCM(5, 214) = 1070

GCD(5, 214) = ( 5 x 214 ) / 1070

= 5 / 214

= 5

So, Greatest Common Divisor of 490, 455, 660, 214 is 1

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• GCD of 881, 827, 892, 979
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Given numbers are 490, 455, 660, 214
The greatest common divisor of numbers 490, 455, 660, 214 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 490, 455, 660, 214 is 1.

1. What is the GCD of 490, 455, 660, 214?

GCD of given numbers 490, 455, 660, 214 is 1

2. How to calculate the greatest common divisor of 490, 455, 660, 214?

We can find the highest common divisor of 490, 455, 660, 214 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, 455, 660, 214 i.e 1.

3. How can I use the GCD of 490, 455, 660, 214Calculator?

Out the numbers 490, 455, 660, 214 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.