Online GCD Calculator is useful to find the GCD of 742, 136, 356, 868 quickly. Get the easiest ways to solve the greatest common divisor of 742, 136, 356, 868 i.e 2 in different methods as follows.
Given Input numbers are 742, 136, 356, 868
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 136 :
The positive integer divisors of 136 that completely divides 136 are.
1, 2, 4, 8, 17, 34, 68, 136
Divisors of 356 :
The positive integer divisors of 356 that completely divides 356 are.
1, 2, 4, 89, 178, 356
Divisors of 868 :
The positive integer divisors of 868 that completely divides 868 are.
1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
GCD of numbers is the greatest common divisor
So, the GCD (742, 136, 356, 868) = 2.
Given numbers are 742, 136, 356, 868
The list of prime factors of all numbers are
Prime factors of 742 are 2 x 7 x 53
Prime factors of 136 are 2 x 2 x 2 x 17
Prime factors of 356 are 2 x 2 x 89
Prime factors of 868 are 2 x 2 x 7 x 31
The highest common occurrence is 21
Therefore, GCD of 742, 136, 356, 868 is 2.
Given numbers are 742, 136, 356, 868
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(742, 136) = 50456
GCD(742, 136) = ( 742 x 136 ) / 50456
= 742 / 136
= 742
Step2:
LCM(2, 356) = 356
GCD(2, 356) = ( 2 x 356 ) / 356
= 2 / 356
= 2
Step3:
LCM(2, 868) = 868
GCD(2, 868) = ( 2 x 868 ) / 868
= 2 / 868
= 2
So, Greatest Common Divisor of 742, 136, 356, 868 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 742, 136, 356, 868
The greatest common divisor of numbers 742, 136, 356, 868 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 136, 356, 868 is 2.
1. What is the GCD of 742, 136, 356, 868?
GCD of given numbers 742, 136, 356, 868 is 2
2. How to calculate the greatest common divisor of 742, 136, 356, 868?
We can find the highest common divisor of 742, 136, 356, 868 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, 136, 356, 868 i.e 2.
3. How can I use the GCD of 742, 136, 356, 868Calculator?
Out the numbers 742, 136, 356, 868 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.