GCD of 490, 217, 164, 705 Calculator

Given Input numbers are 490, 217, 164, 705

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 217 :

The positive integer divisors of 217 that completely divides 217 are.

1, 7, 31, 217

Divisors of 164 :

The positive integer divisors of 164 that completely divides 164 are.

1, 2, 4, 41, 82, 164

Divisors of 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

GCD of numbers is the greatest common divisor

So, the GCD (490, 217, 164, 705) = 1.

Given numbers are 490, 217, 164, 705

The list of prime factors of all numbers are

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

Prime factors of 217 are 7 x 31

Prime factors of 164 are 2 x 2 x 41

Prime factors of 705 are 3 x 5 x 47

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

Given numbers are 490, 217, 164, 705

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

Apply this formula for all numbers.

Step1:

LCM(490, 217) = 15190

GCD(490, 217) = ( 490 x 217 ) / 15190

= 490 / 217

= 490

Step2:

LCM(7, 164) = 1148

GCD(7, 164) = ( 7 x 164 ) / 1148

= 7 / 164

= 7

Step3:

LCM(1, 705) = 705

GCD(1, 705) = ( 1 x 705 ) / 705

= 1 / 705

= 1

So, Greatest Common Divisor of 490, 217, 164, 705 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 732, 391, 813, 721
• GCD of 170, 631, 348, 449
• GCD of 130, 764, 813, 442
• GCD of 574, 917, 866, 610
• GCD of 406, 880, 760, 992

Given numbers are 490, 217, 164, 705
The greatest common divisor of numbers 490, 217, 164, 705 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 490, 217, 164, 705 is 1.

1. What is the GCD of 490, 217, 164, 705?

GCD of given numbers 490, 217, 164, 705 is 1

2. How to calculate the greatest common divisor of 490, 217, 164, 705?

We can find the highest common divisor of 490, 217, 164, 705 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, 217, 164, 705 i.e 1.

3. How can I use the GCD of 490, 217, 164, 705Calculator?

Out the numbers 490, 217, 164, 705 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.