Online GCD Calculator is useful to find the GCD of 376, 846, 102, 180 quickly. Get the easiest ways to solve the greatest common divisor of 376, 846, 102, 180 i.e 2 in different methods as follows.
Given Input numbers are 376, 846, 102, 180
In the factoring method, we have to find the divisors of all numbers
Divisors of 376 :
The positive integer divisors of 376 that completely divides 376 are.
1, 2, 4, 8, 47, 94, 188, 376
Divisors of 846 :
The positive integer divisors of 846 that completely divides 846 are.
1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
Divisors of 102 :
The positive integer divisors of 102 that completely divides 102 are.
1, 2, 3, 6, 17, 34, 51, 102
Divisors of 180 :
The positive integer divisors of 180 that completely divides 180 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
GCD of numbers is the greatest common divisor
So, the GCD (376, 846, 102, 180) = 2.
Given numbers are 376, 846, 102, 180
The list of prime factors of all numbers are
Prime factors of 376 are 2 x 2 x 2 x 47
Prime factors of 846 are 2 x 3 x 3 x 47
Prime factors of 102 are 2 x 3 x 17
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
The highest common occurrence is 21
Therefore, GCD of 376, 846, 102, 180 is 2.
Given numbers are 376, 846, 102, 180
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(376, 846) = 3384
GCD(376, 846) = ( 376 x 846 ) / 3384
= 376 / 846
= 376
Step2:
LCM(94, 102) = 4794
GCD(94, 102) = ( 94 x 102 ) / 4794
= 94 / 102
= 94
Step3:
LCM(2, 180) = 180
GCD(2, 180) = ( 2 x 180 ) / 180
= 2 / 180
= 2
So, Greatest Common Divisor of 376, 846, 102, 180 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 376, 846, 102, 180
The greatest common divisor of numbers 376, 846, 102, 180 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 376, 846, 102, 180 is 2.
1. What is the GCD of 376, 846, 102, 180?
GCD of given numbers 376, 846, 102, 180 is 2
2. How to calculate the greatest common divisor of 376, 846, 102, 180?
We can find the highest common divisor of 376, 846, 102, 180 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 376, 846, 102, 180 i.e 2.
3. How can I use the GCD of 376, 846, 102, 180Calculator?
Out the numbers 376, 846, 102, 180 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.