Online GCD Calculator is useful to find the GCD of 420, 134, 386, 952 quickly. Get the easiest ways to solve the greatest common divisor of 420, 134, 386, 952 i.e 2 in different methods as follows.
Given Input numbers are 420, 134, 386, 952
In the factoring method, we have to find the divisors of all numbers
Divisors of 420 :
The positive integer divisors of 420 that completely divides 420 are.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
Divisors of 134 :
The positive integer divisors of 134 that completely divides 134 are.
1, 2, 67, 134
Divisors of 386 :
The positive integer divisors of 386 that completely divides 386 are.
1, 2, 193, 386
Divisors of 952 :
The positive integer divisors of 952 that completely divides 952 are.
1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
GCD of numbers is the greatest common divisor
So, the GCD (420, 134, 386, 952) = 2.
Given numbers are 420, 134, 386, 952
The list of prime factors of all numbers are
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 134 are 2 x 67
Prime factors of 386 are 2 x 193
Prime factors of 952 are 2 x 2 x 2 x 7 x 17
The highest common occurrence is 21
Therefore, GCD of 420, 134, 386, 952 is 2.
Given numbers are 420, 134, 386, 952
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(420, 134) = 28140
GCD(420, 134) = ( 420 x 134 ) / 28140
= 420 / 134
= 420
Step2:
LCM(2, 386) = 386
GCD(2, 386) = ( 2 x 386 ) / 386
= 2 / 386
= 2
Step3:
LCM(2, 952) = 952
GCD(2, 952) = ( 2 x 952 ) / 952
= 2 / 952
= 2
So, Greatest Common Divisor of 420, 134, 386, 952 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 420, 134, 386, 952
The greatest common divisor of numbers 420, 134, 386, 952 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 134, 386, 952 is 2.
1. What is the GCD of 420, 134, 386, 952?
GCD of given numbers 420, 134, 386, 952 is 2
2. How to calculate the greatest common divisor of 420, 134, 386, 952?
We can find the highest common divisor of 420, 134, 386, 952 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 420, 134, 386, 952 i.e 2.
3. How can I use the GCD of 420, 134, 386, 952Calculator?
Out the numbers 420, 134, 386, 952 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.