Online GCD Calculator is useful to find the GCD of 100, 349, 918, 334 quickly. Get the easiest ways to solve the greatest common divisor of 100, 349, 918, 334 i.e 1 in different methods as follows.
Given Input numbers are 100, 349, 918, 334
In the factoring method, we have to find the divisors of all numbers
Divisors of 100 :
The positive integer divisors of 100 that completely divides 100 are.
1, 2, 4, 5, 10, 20, 25, 50, 100
Divisors of 349 :
The positive integer divisors of 349 that completely divides 349 are.
1, 349
Divisors of 918 :
The positive integer divisors of 918 that completely divides 918 are.
1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
Divisors of 334 :
The positive integer divisors of 334 that completely divides 334 are.
1, 2, 167, 334
GCD of numbers is the greatest common divisor
So, the GCD (100, 349, 918, 334) = 1.
Given numbers are 100, 349, 918, 334
The list of prime factors of all numbers are
Prime factors of 100 are 2 x 2 x 5 x 5
Prime factors of 349 are 349
Prime factors of 918 are 2 x 3 x 3 x 3 x 17
Prime factors of 334 are 2 x 167
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 100, 349, 918, 334
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(100, 349) = 34900
GCD(100, 349) = ( 100 x 349 ) / 34900
= 100 / 349
= 100
Step2:
LCM(1, 918) = 918
GCD(1, 918) = ( 1 x 918 ) / 918
= 1 / 918
= 1
Step3:
LCM(1, 334) = 334
GCD(1, 334) = ( 1 x 334 ) / 334
= 1 / 334
= 1
So, Greatest Common Divisor of 100, 349, 918, 334 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 100, 349, 918, 334
The greatest common divisor of numbers 100, 349, 918, 334 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 349, 918, 334 is 1.
1. What is the GCD of 100, 349, 918, 334?
GCD of given numbers 100, 349, 918, 334 is 1
2. How to calculate the greatest common divisor of 100, 349, 918, 334?
We can find the highest common divisor of 100, 349, 918, 334 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 100, 349, 918, 334 i.e 1.
3. How can I use the GCD of 100, 349, 918, 334Calculator?
Out the numbers 100, 349, 918, 334 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.