GCD of 221, 471, 676, 342 Calculator

Given Input numbers are 221, 471, 676, 342

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

Divisors of 221 :

The positive integer divisors of 221 that completely divides 221 are.

1, 13, 17, 221

Divisors of 471 :

The positive integer divisors of 471 that completely divides 471 are.

1, 3, 157, 471

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

GCD of numbers is the greatest common divisor

So, the GCD (221, 471, 676, 342) = 1.

Given numbers are 221, 471, 676, 342

The list of prime factors of all numbers are

Prime factors of 221 are 13 x 17

Prime factors of 471 are 3 x 157

Prime factors of 676 are 2 x 2 x 13 x 13

Prime factors of 342 are 2 x 3 x 3 x 19

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

Given numbers are 221, 471, 676, 342

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

Apply this formula for all numbers.

Step1:

LCM(221, 471) = 104091

GCD(221, 471) = ( 221 x 471 ) / 104091

= 221 / 471

= 221

Step2:

LCM(1, 676) = 676

GCD(1, 676) = ( 1 x 676 ) / 676

= 1 / 676

= 1

Step3:

LCM(1, 342) = 342

GCD(1, 342) = ( 1 x 342 ) / 342

= 1 / 342

= 1

So, Greatest Common Divisor of 221, 471, 676, 342 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 345, 276, 748, 841
• GCD of 324, 746, 714, 812
• GCD of 735, 757, 446, 571
• GCD of 507, 971, 583, 709
• GCD of 680, 460, 882, 212

Given numbers are 221, 471, 676, 342
The greatest common divisor of numbers 221, 471, 676, 342 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 221, 471, 676, 342 is 1.

1. What is the GCD of 221, 471, 676, 342?

GCD of given numbers 221, 471, 676, 342 is 1

2. How to calculate the greatest common divisor of 221, 471, 676, 342?

We can find the highest common divisor of 221, 471, 676, 342 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 221, 471, 676, 342 i.e 1.

3. How can I use the GCD of 221, 471, 676, 342Calculator?

Out the numbers 221, 471, 676, 342 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.