GCD of 490, 476, 64, 214 Calculator

Given Input numbers are 490, 476, 64, 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 476 :

The positive integer divisors of 476 that completely divides 476 are.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

Divisors of 64 :

The positive integer divisors of 64 that completely divides 64 are.

1, 2, 4, 8, 16, 32, 64

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, 476, 64, 214) = 2.

Given numbers are 490, 476, 64, 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 476 are 2 x 2 x 7 x 17

Prime factors of 64 are 2 x 2 x 2 x 2 x 2 x 2

Prime factors of 214 are 2 x 107

The highest common occurrence is 2¹

Therefore, GCD of 490, 476, 64, 214 is 2.

Given numbers are 490, 476, 64, 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, 476) = 16660

GCD(490, 476) = ( 490 x 476 ) / 16660

= 490 / 476

= 490

Step2:

LCM(14, 64) = 448

GCD(14, 64) = ( 14 x 64 ) / 448

= 14 / 64

= 14

Step3:

LCM(2, 214) = 214

GCD(2, 214) = ( 2 x 214 ) / 214

= 2 / 214

= 2

So, Greatest Common Divisor of 490, 476, 64, 214 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 995, 966, 90, 941
• GCD of 623, 798, 67, 876
• GCD of 972, 418, 12, 811
• GCD of 752, 545, 55, 107
• GCD of 140, 573, 42, 646

Given numbers are 490, 476, 64, 214
The greatest common divisor of numbers 490, 476, 64, 214 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 490, 476, 64, 214 is 2.

1. What is the GCD of 490, 476, 64, 214?

GCD of given numbers 490, 476, 64, 214 is 2

2. How to calculate the greatest common divisor of 490, 476, 64, 214?

We can find the highest common divisor of 490, 476, 64, 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, 476, 64, 214 i.e 2.

3. How can I use the GCD of 490, 476, 64, 214Calculator?

Out the numbers 490, 476, 64, 214 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.