Online GCD Calculator is useful to find the GCD of 104, 874, 970, 342 quickly. Get the easiest ways to solve the greatest common divisor of 104, 874, 970, 342 i.e 2 in different methods as follows.
Given Input numbers are 104, 874, 970, 342
In the factoring method, we have to find the divisors of all numbers
Divisors of 104 :
The positive integer divisors of 104 that completely divides 104 are.
1, 2, 4, 8, 13, 26, 52, 104
Divisors of 874 :
The positive integer divisors of 874 that completely divides 874 are.
1, 2, 19, 23, 38, 46, 437, 874
Divisors of 970 :
The positive integer divisors of 970 that completely divides 970 are.
1, 2, 5, 10, 97, 194, 485, 970
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 (104, 874, 970, 342) = 2.
Given numbers are 104, 874, 970, 342
The list of prime factors of all numbers are
Prime factors of 104 are 2 x 2 x 2 x 13
Prime factors of 874 are 2 x 19 x 23
Prime factors of 970 are 2 x 5 x 97
Prime factors of 342 are 2 x 3 x 3 x 19
The highest common occurrence is 21
Therefore, GCD of 104, 874, 970, 342 is 2.
Given numbers are 104, 874, 970, 342
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(104, 874) = 45448
GCD(104, 874) = ( 104 x 874 ) / 45448
= 104 / 874
= 104
Step2:
LCM(2, 970) = 970
GCD(2, 970) = ( 2 x 970 ) / 970
= 2 / 970
= 2
Step3:
LCM(2, 342) = 342
GCD(2, 342) = ( 2 x 342 ) / 342
= 2 / 342
= 2
So, Greatest Common Divisor of 104, 874, 970, 342 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 104, 874, 970, 342
The greatest common divisor of numbers 104, 874, 970, 342 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 104, 874, 970, 342 is 2.
1. What is the GCD of 104, 874, 970, 342?
GCD of given numbers 104, 874, 970, 342 is 2
2. How to calculate the greatest common divisor of 104, 874, 970, 342?
We can find the highest common divisor of 104, 874, 970, 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 104, 874, 970, 342 i.e 2.
3. How can I use the GCD of 104, 874, 970, 342Calculator?
Out the numbers 104, 874, 970, 342 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.