Online GCD Calculator is useful to find the GCD of 836, 974, 144, 790 quickly. Get the easiest ways to solve the greatest common divisor of 836, 974, 144, 790 i.e 2 in different methods as follows.
Given Input numbers are 836, 974, 144, 790
In the factoring method, we have to find the divisors of all numbers
Divisors of 836 :
The positive integer divisors of 836 that completely divides 836 are.
1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
Divisors of 974 :
The positive integer divisors of 974 that completely divides 974 are.
1, 2, 487, 974
Divisors of 144 :
The positive integer divisors of 144 that completely divides 144 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
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 (836, 974, 144, 790) = 2.
Given numbers are 836, 974, 144, 790
The list of prime factors of all numbers are
Prime factors of 836 are 2 x 2 x 11 x 19
Prime factors of 974 are 2 x 487
Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 790 are 2 x 5 x 79
The highest common occurrence is 21
Therefore, GCD of 836, 974, 144, 790 is 2.
Given numbers are 836, 974, 144, 790
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(836, 974) = 407132
GCD(836, 974) = ( 836 x 974 ) / 407132
= 836 / 974
= 836
Step2:
LCM(2, 144) = 144
GCD(2, 144) = ( 2 x 144 ) / 144
= 2 / 144
= 2
Step3:
LCM(2, 790) = 790
GCD(2, 790) = ( 2 x 790 ) / 790
= 2 / 790
= 2
So, Greatest Common Divisor of 836, 974, 144, 790 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 836, 974, 144, 790
The greatest common divisor of numbers 836, 974, 144, 790 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 836, 974, 144, 790 is 2.
1. What is the GCD of 836, 974, 144, 790?
GCD of given numbers 836, 974, 144, 790 is 2
2. How to calculate the greatest common divisor of 836, 974, 144, 790?
We can find the highest common divisor of 836, 974, 144, 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 836, 974, 144, 790 i.e 2.
3. How can I use the GCD of 836, 974, 144, 790Calculator?
Out the numbers 836, 974, 144, 790 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.