Online GCD Calculator is useful to find the GCD of 742, 164, 266, 420 quickly. Get the easiest ways to solve the greatest common divisor of 742, 164, 266, 420 i.e 2 in different methods as follows.
Given Input numbers are 742, 164, 266, 420
In the factoring method, we have to find the divisors of all numbers
Divisors of 742 :
The positive integer divisors of 742 that completely divides 742 are.
1, 2, 7, 14, 53, 106, 371, 742
Divisors of 164 :
The positive integer divisors of 164 that completely divides 164 are.
1, 2, 4, 41, 82, 164
Divisors of 266 :
The positive integer divisors of 266 that completely divides 266 are.
1, 2, 7, 14, 19, 38, 133, 266
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
GCD of numbers is the greatest common divisor
So, the GCD (742, 164, 266, 420) = 2.
Given numbers are 742, 164, 266, 420
The list of prime factors of all numbers are
Prime factors of 742 are 2 x 7 x 53
Prime factors of 164 are 2 x 2 x 41
Prime factors of 266 are 2 x 7 x 19
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
The highest common occurrence is 21
Therefore, GCD of 742, 164, 266, 420 is 2.
Given numbers are 742, 164, 266, 420
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(742, 164) = 60844
GCD(742, 164) = ( 742 x 164 ) / 60844
= 742 / 164
= 742
Step2:
LCM(2, 266) = 266
GCD(2, 266) = ( 2 x 266 ) / 266
= 2 / 266
= 2
Step3:
LCM(2, 420) = 420
GCD(2, 420) = ( 2 x 420 ) / 420
= 2 / 420
= 2
So, Greatest Common Divisor of 742, 164, 266, 420 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 742, 164, 266, 420
The greatest common divisor of numbers 742, 164, 266, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 164, 266, 420 is 2.
1. What is the GCD of 742, 164, 266, 420?
GCD of given numbers 742, 164, 266, 420 is 2
2. How to calculate the greatest common divisor of 742, 164, 266, 420?
We can find the highest common divisor of 742, 164, 266, 420 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 742, 164, 266, 420 i.e 2.
3. How can I use the GCD of 742, 164, 266, 420Calculator?
Out the numbers 742, 164, 266, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.