Online GCD Calculator is useful to find the GCD of 856, 142, 118, 436 quickly. Get the easiest ways to solve the greatest common divisor of 856, 142, 118, 436 i.e 2 in different methods as follows.
Given Input numbers are 856, 142, 118, 436
In the factoring method, we have to find the divisors of all numbers
Divisors of 856 :
The positive integer divisors of 856 that completely divides 856 are.
1, 2, 4, 8, 107, 214, 428, 856
Divisors of 142 :
The positive integer divisors of 142 that completely divides 142 are.
1, 2, 71, 142
Divisors of 118 :
The positive integer divisors of 118 that completely divides 118 are.
1, 2, 59, 118
Divisors of 436 :
The positive integer divisors of 436 that completely divides 436 are.
1, 2, 4, 109, 218, 436
GCD of numbers is the greatest common divisor
So, the GCD (856, 142, 118, 436) = 2.
Given numbers are 856, 142, 118, 436
The list of prime factors of all numbers are
Prime factors of 856 are 2 x 2 x 2 x 107
Prime factors of 142 are 2 x 71
Prime factors of 118 are 2 x 59
Prime factors of 436 are 2 x 2 x 109
The highest common occurrence is 21
Therefore, GCD of 856, 142, 118, 436 is 2.
Given numbers are 856, 142, 118, 436
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(856, 142) = 60776
GCD(856, 142) = ( 856 x 142 ) / 60776
= 856 / 142
= 856
Step2:
LCM(2, 118) = 118
GCD(2, 118) = ( 2 x 118 ) / 118
= 2 / 118
= 2
Step3:
LCM(2, 436) = 436
GCD(2, 436) = ( 2 x 436 ) / 436
= 2 / 436
= 2
So, Greatest Common Divisor of 856, 142, 118, 436 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 856, 142, 118, 436
The greatest common divisor of numbers 856, 142, 118, 436 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 856, 142, 118, 436 is 2.
1. What is the GCD of 856, 142, 118, 436?
GCD of given numbers 856, 142, 118, 436 is 2
2. How to calculate the greatest common divisor of 856, 142, 118, 436?
We can find the highest common divisor of 856, 142, 118, 436 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 856, 142, 118, 436 i.e 2.
3. How can I use the GCD of 856, 142, 118, 436Calculator?
Out the numbers 856, 142, 118, 436 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.