GCD of 213, 480, 140, 654 Calculator

Given Input numbers are 213, 480, 140, 654

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

Divisors of 213 :

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

1, 3, 71, 213

Divisors of 480 :

The positive integer divisors of 480 that completely divides 480 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 140 :

The positive integer divisors of 140 that completely divides 140 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Divisors of 654 :

The positive integer divisors of 654 that completely divides 654 are.

1, 2, 3, 6, 109, 218, 327, 654

GCD of numbers is the greatest common divisor

So, the GCD (213, 480, 140, 654) = 1.

Given numbers are 213, 480, 140, 654

The list of prime factors of all numbers are

Prime factors of 213 are 3 x 71

Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 140 are 2 x 2 x 5 x 7

Prime factors of 654 are 2 x 3 x 109

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

Given numbers are 213, 480, 140, 654

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

Apply this formula for all numbers.

Step1:

LCM(213, 480) = 34080

GCD(213, 480) = ( 213 x 480 ) / 34080

= 213 / 480

= 213

Step2:

LCM(3, 140) = 420

GCD(3, 140) = ( 3 x 140 ) / 420

= 3 / 140

= 3

Step3:

LCM(1, 654) = 654

GCD(1, 654) = ( 1 x 654 ) / 654

= 1 / 654

= 1

So, Greatest Common Divisor of 213, 480, 140, 654 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 162, 536, 375, 231
• GCD of 338, 340, 775, 591
• GCD of 899, 786, 492, 526
• GCD of 378, 375, 128, 481
• GCD of 833, 736, 235, 308

Given numbers are 213, 480, 140, 654
The greatest common divisor of numbers 213, 480, 140, 654 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 213, 480, 140, 654 is 1.

1. What is the GCD of 213, 480, 140, 654?

GCD of given numbers 213, 480, 140, 654 is 1

2. How to calculate the greatest common divisor of 213, 480, 140, 654?

We can find the highest common divisor of 213, 480, 140, 654 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 213, 480, 140, 654 i.e 1.

3. How can I use the GCD of 213, 480, 140, 654Calculator?

Out the numbers 213, 480, 140, 654 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.