Online GCD Calculator is useful to find the GCD of 674, 358, 836, 536 quickly. Get the easiest ways to solve the greatest common divisor of 674, 358, 836, 536 i.e 2 in different methods as follows.
Given Input numbers are 674, 358, 836, 536
In the factoring method, we have to find the divisors of all numbers
Divisors of 674 :
The positive integer divisors of 674 that completely divides 674 are.
1, 2, 337, 674
Divisors of 358 :
The positive integer divisors of 358 that completely divides 358 are.
1, 2, 179, 358
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 536 :
The positive integer divisors of 536 that completely divides 536 are.
1, 2, 4, 8, 67, 134, 268, 536
GCD of numbers is the greatest common divisor
So, the GCD (674, 358, 836, 536) = 2.
Given numbers are 674, 358, 836, 536
The list of prime factors of all numbers are
Prime factors of 674 are 2 x 337
Prime factors of 358 are 2 x 179
Prime factors of 836 are 2 x 2 x 11 x 19
Prime factors of 536 are 2 x 2 x 2 x 67
The highest common occurrence is 21
Therefore, GCD of 674, 358, 836, 536 is 2.
Given numbers are 674, 358, 836, 536
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(674, 358) = 120646
GCD(674, 358) = ( 674 x 358 ) / 120646
= 674 / 358
= 674
Step2:
LCM(2, 836) = 836
GCD(2, 836) = ( 2 x 836 ) / 836
= 2 / 836
= 2
Step3:
LCM(2, 536) = 536
GCD(2, 536) = ( 2 x 536 ) / 536
= 2 / 536
= 2
So, Greatest Common Divisor of 674, 358, 836, 536 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 674, 358, 836, 536
The greatest common divisor of numbers 674, 358, 836, 536 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 674, 358, 836, 536 is 2.
1. What is the GCD of 674, 358, 836, 536?
GCD of given numbers 674, 358, 836, 536 is 2
2. How to calculate the greatest common divisor of 674, 358, 836, 536?
We can find the highest common divisor of 674, 358, 836, 536 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 674, 358, 836, 536 i.e 2.
3. How can I use the GCD of 674, 358, 836, 536Calculator?
Out the numbers 674, 358, 836, 536 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.