GCD of 464, 840, 242, 213 Calculator

Given Input numbers are 464, 840, 242, 213

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

Divisors of 464 :

The positive integer divisors of 464 that completely divides 464 are.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 840 :

The positive integer divisors of 840 that completely divides 840 are.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 242 :

The positive integer divisors of 242 that completely divides 242 are.

1, 2, 11, 22, 121, 242

Divisors of 213 :

The positive integer divisors of 213 that completely divides 213 are.

1, 3, 71, 213

GCD of numbers is the greatest common divisor

So, the GCD (464, 840, 242, 213) = 1.

Given numbers are 464, 840, 242, 213

The list of prime factors of all numbers are

Prime factors of 464 are 2 x 2 x 2 x 2 x 29

Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7

Prime factors of 242 are 2 x 11 x 11

Prime factors of 213 are 3 x 71

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

Given numbers are 464, 840, 242, 213

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

Apply this formula for all numbers.

Step1:

LCM(464, 840) = 48720

GCD(464, 840) = ( 464 x 840 ) / 48720

= 464 / 840

= 464

Step2:

LCM(8, 242) = 968

GCD(8, 242) = ( 8 x 242 ) / 968

= 8 / 242

= 8

Step3:

LCM(2, 213) = 426

GCD(2, 213) = ( 2 x 213 ) / 426

= 2 / 213

= 2

So, Greatest Common Divisor of 464, 840, 242, 213 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 308, 198, 602, 303
• GCD of 604, 456, 833, 271
• GCD of 131, 556, 977, 277
• GCD of 575, 589, 631, 552
• GCD of 471, 378, 445, 918

Given numbers are 464, 840, 242, 213
The greatest common divisor of numbers 464, 840, 242, 213 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 464, 840, 242, 213 is 1.

1. What is the GCD of 464, 840, 242, 213?

GCD of given numbers 464, 840, 242, 213 is 1

2. How to calculate the greatest common divisor of 464, 840, 242, 213?

We can find the highest common divisor of 464, 840, 242, 213 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 464, 840, 242, 213 i.e 1.

3. How can I use the GCD of 464, 840, 242, 213Calculator?

Out the numbers 464, 840, 242, 213 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.