GCD of 345, 212, 461, 196 Calculator

Given Input numbers are 345, 212, 461, 196

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 212 :

The positive integer divisors of 212 that completely divides 212 are.

1, 2, 4, 53, 106, 212

Divisors of 461 :

The positive integer divisors of 461 that completely divides 461 are.

1, 461

Divisors of 196 :

The positive integer divisors of 196 that completely divides 196 are.

1, 2, 4, 7, 14, 28, 49, 98, 196

GCD of numbers is the greatest common divisor

So, the GCD (345, 212, 461, 196) = 1.

Given numbers are 345, 212, 461, 196

The list of prime factors of all numbers are

Prime factors of 345 are 3 x 5 x 23

Prime factors of 212 are 2 x 2 x 53

Prime factors of 461 are 461

Prime factors of 196 are 2 x 2 x 7 x 7

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

Given numbers are 345, 212, 461, 196

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

Apply this formula for all numbers.

Step1:

LCM(345, 212) = 73140

GCD(345, 212) = ( 345 x 212 ) / 73140

= 345 / 212

= 345

Step2:

LCM(1, 461) = 461

GCD(1, 461) = ( 1 x 461 ) / 461

= 1 / 461

= 1

Step3:

LCM(1, 196) = 196

GCD(1, 196) = ( 1 x 196 ) / 196

= 1 / 196

= 1

So, Greatest Common Divisor of 345, 212, 461, 196 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 628, 411, 177, 842
• GCD of 154, 191, 146, 892
• GCD of 346, 764, 258, 753
• GCD of 391, 144, 594, 236
• GCD of 661, 508, 352, 672

Given numbers are 345, 212, 461, 196
The greatest common divisor of numbers 345, 212, 461, 196 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 345, 212, 461, 196 is 1.

1. What is the GCD of 345, 212, 461, 196?

GCD of given numbers 345, 212, 461, 196 is 1

2. How to calculate the greatest common divisor of 345, 212, 461, 196?

We can find the highest common divisor of 345, 212, 461, 196 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, 212, 461, 196 i.e 1.

3. How can I use the GCD of 345, 212, 461, 196Calculator?

Out the numbers 345, 212, 461, 196 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.