GCD of 345, 954, 743, 220 Calculator

Given Input numbers are 345, 954, 743, 220

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

Divisors of 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 954 :

The positive integer divisors of 954 that completely divides 954 are.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

Divisors of 743 :

The positive integer divisors of 743 that completely divides 743 are.

1, 743

Divisors of 220 :

The positive integer divisors of 220 that completely divides 220 are.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

GCD of numbers is the greatest common divisor

So, the GCD (345, 954, 743, 220) = 1.

Given numbers are 345, 954, 743, 220

The list of prime factors of all numbers are

Prime factors of 345 are 3 x 5 x 23

Prime factors of 954 are 2 x 3 x 3 x 53

Prime factors of 743 are 743

Prime factors of 220 are 2 x 2 x 5 x 11

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

Given numbers are 345, 954, 743, 220

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

Apply this formula for all numbers.

Step1:

LCM(345, 954) = 109710

GCD(345, 954) = ( 345 x 954 ) / 109710

= 345 / 954

= 345

Step2:

LCM(3, 743) = 2229

GCD(3, 743) = ( 3 x 743 ) / 2229

= 3 / 743

= 3

Step3:

LCM(1, 220) = 220

GCD(1, 220) = ( 1 x 220 ) / 220

= 1 / 220

= 1

So, Greatest Common Divisor of 345, 954, 743, 220 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 189, 241, 475, 535
• GCD of 398, 721, 348, 223
• GCD of 596, 973, 231, 708
• GCD of 801, 332, 567, 289
• GCD of 284, 626, 131, 986

Given numbers are 345, 954, 743, 220
The greatest common divisor of numbers 345, 954, 743, 220 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 345, 954, 743, 220 is 1.

1. What is the GCD of 345, 954, 743, 220?

GCD of given numbers 345, 954, 743, 220 is 1

2. How to calculate the greatest common divisor of 345, 954, 743, 220?

We can find the highest common divisor of 345, 954, 743, 220 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 345, 954, 743, 220 i.e 1.

3. How can I use the GCD of 345, 954, 743, 220Calculator?

Out the numbers 345, 954, 743, 220 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.