Online GCD Calculator is useful to find the GCD of 334, 674, 221, 109 quickly. Get the easiest ways to solve the greatest common divisor of 334, 674, 221, 109 i.e 1 in different methods as follows.
Given Input numbers are 334, 674, 221, 109
In the factoring method, we have to find the divisors of all numbers
Divisors of 334 :
The positive integer divisors of 334 that completely divides 334 are.
1, 2, 167, 334
Divisors of 674 :
The positive integer divisors of 674 that completely divides 674 are.
1, 2, 337, 674
Divisors of 221 :
The positive integer divisors of 221 that completely divides 221 are.
1, 13, 17, 221
Divisors of 109 :
The positive integer divisors of 109 that completely divides 109 are.
1, 109
GCD of numbers is the greatest common divisor
So, the GCD (334, 674, 221, 109) = 1.
Given numbers are 334, 674, 221, 109
The list of prime factors of all numbers are
Prime factors of 334 are 2 x 167
Prime factors of 674 are 2 x 337
Prime factors of 221 are 13 x 17
Prime factors of 109 are 109
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 334, 674, 221, 109
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(334, 674) = 112558
GCD(334, 674) = ( 334 x 674 ) / 112558
= 334 / 674
= 334
Step2:
LCM(2, 221) = 442
GCD(2, 221) = ( 2 x 221 ) / 442
= 2 / 221
= 2
Step3:
LCM(1, 109) = 109
GCD(1, 109) = ( 1 x 109 ) / 109
= 1 / 109
= 1
So, Greatest Common Divisor of 334, 674, 221, 109 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 334, 674, 221, 109
The greatest common divisor of numbers 334, 674, 221, 109 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 334, 674, 221, 109 is 1.
1. What is the GCD of 334, 674, 221, 109?
GCD of given numbers 334, 674, 221, 109 is 1
2. How to calculate the greatest common divisor of 334, 674, 221, 109?
We can find the highest common divisor of 334, 674, 221, 109 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 334, 674, 221, 109 i.e 1.
3. How can I use the GCD of 334, 674, 221, 109Calculator?
Out the numbers 334, 674, 221, 109 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.