Online GCD Calculator is useful to find the GCD of 420, 786, 478, 160 quickly. Get the easiest ways to solve the greatest common divisor of 420, 786, 478, 160 i.e 2 in different methods as follows.
Given Input numbers are 420, 786, 478, 160
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 786 :
The positive integer divisors of 786 that completely divides 786 are.
1, 2, 3, 6, 131, 262, 393, 786
Divisors of 478 :
The positive integer divisors of 478 that completely divides 478 are.
1, 2, 239, 478
Divisors of 160 :
The positive integer divisors of 160 that completely divides 160 are.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
GCD of numbers is the greatest common divisor
So, the GCD (420, 786, 478, 160) = 2.
Given numbers are 420, 786, 478, 160
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 786 are 2 x 3 x 131
Prime factors of 478 are 2 x 239
Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5
The highest common occurrence is 21
Therefore, GCD of 420, 786, 478, 160 is 2.
Given numbers are 420, 786, 478, 160
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(420, 786) = 55020
GCD(420, 786) = ( 420 x 786 ) / 55020
= 420 / 786
= 420
Step2:
LCM(6, 478) = 1434
GCD(6, 478) = ( 6 x 478 ) / 1434
= 6 / 478
= 6
Step3:
LCM(2, 160) = 160
GCD(2, 160) = ( 2 x 160 ) / 160
= 2 / 160
= 2
So, Greatest Common Divisor of 420, 786, 478, 160 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 420, 786, 478, 160
The greatest common divisor of numbers 420, 786, 478, 160 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 786, 478, 160 is 2.
1. What is the GCD of 420, 786, 478, 160?
GCD of given numbers 420, 786, 478, 160 is 2
2. How to calculate the greatest common divisor of 420, 786, 478, 160?
We can find the highest common divisor of 420, 786, 478, 160 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, 786, 478, 160 i.e 2.
3. How can I use the GCD of 420, 786, 478, 160Calculator?
Out the numbers 420, 786, 478, 160 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.