Online GCD Calculator is useful to find the GCD of 160, 420, 786, 790 quickly. Get the easiest ways to solve the greatest common divisor of 160, 420, 786, 790 i.e 2 in different methods as follows.
Given Input numbers are 160, 420, 786, 790
In the factoring method, we have to find the divisors of all numbers
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
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 790 :
The positive integer divisors of 790 that completely divides 790 are.
1, 2, 5, 10, 79, 158, 395, 790
GCD of numbers is the greatest common divisor
So, the GCD (160, 420, 786, 790) = 2.
Given numbers are 160, 420, 786, 790
The list of prime factors of all numbers are
Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5
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 790 are 2 x 5 x 79
The highest common occurrence is 21
Therefore, GCD of 160, 420, 786, 790 is 2.
Given numbers are 160, 420, 786, 790
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(160, 420) = 3360
GCD(160, 420) = ( 160 x 420 ) / 3360
= 160 / 420
= 160
Step2:
LCM(20, 786) = 7860
GCD(20, 786) = ( 20 x 786 ) / 7860
= 20 / 786
= 20
Step3:
LCM(2, 790) = 790
GCD(2, 790) = ( 2 x 790 ) / 790
= 2 / 790
= 2
So, Greatest Common Divisor of 160, 420, 786, 790 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 160, 420, 786, 790
The greatest common divisor of numbers 160, 420, 786, 790 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 160, 420, 786, 790 is 2.
1. What is the GCD of 160, 420, 786, 790?
GCD of given numbers 160, 420, 786, 790 is 2
2. How to calculate the greatest common divisor of 160, 420, 786, 790?
We can find the highest common divisor of 160, 420, 786, 790 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 160, 420, 786, 790 i.e 2.
3. How can I use the GCD of 160, 420, 786, 790Calculator?
Out the numbers 160, 420, 786, 790 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.