Online GCD Calculator is useful to find the GCD of 940, 652, 914, 342 quickly. Get the easiest ways to solve the greatest common divisor of 940, 652, 914, 342 i.e 2 in different methods as follows.
Given Input numbers are 940, 652, 914, 342
In the factoring method, we have to find the divisors of all numbers
Divisors of 940 :
The positive integer divisors of 940 that completely divides 940 are.
1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
Divisors of 652 :
The positive integer divisors of 652 that completely divides 652 are.
1, 2, 4, 163, 326, 652
Divisors of 914 :
The positive integer divisors of 914 that completely divides 914 are.
1, 2, 457, 914
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 (940, 652, 914, 342) = 2.
Given numbers are 940, 652, 914, 342
The list of prime factors of all numbers are
Prime factors of 940 are 2 x 2 x 5 x 47
Prime factors of 652 are 2 x 2 x 163
Prime factors of 914 are 2 x 457
Prime factors of 342 are 2 x 3 x 3 x 19
The highest common occurrence is 21
Therefore, GCD of 940, 652, 914, 342 is 2.
Given numbers are 940, 652, 914, 342
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(940, 652) = 153220
GCD(940, 652) = ( 940 x 652 ) / 153220
= 940 / 652
= 940
Step2:
LCM(4, 914) = 1828
GCD(4, 914) = ( 4 x 914 ) / 1828
= 4 / 914
= 4
Step3:
LCM(2, 342) = 342
GCD(2, 342) = ( 2 x 342 ) / 342
= 2 / 342
= 2
So, Greatest Common Divisor of 940, 652, 914, 342 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 940, 652, 914, 342
The greatest common divisor of numbers 940, 652, 914, 342 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 940, 652, 914, 342 is 2.
1. What is the GCD of 940, 652, 914, 342?
GCD of given numbers 940, 652, 914, 342 is 2
2. How to calculate the greatest common divisor of 940, 652, 914, 342?
We can find the highest common divisor of 940, 652, 914, 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 940, 652, 914, 342 i.e 2.
3. How can I use the GCD of 940, 652, 914, 342Calculator?
Out the numbers 940, 652, 914, 342 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.