Online GCD Calculator is useful to find the GCD of 742, 374, 834, 176 quickly. Get the easiest ways to solve the greatest common divisor of 742, 374, 834, 176 i.e 2 in different methods as follows.
Given Input numbers are 742, 374, 834, 176
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 374 :
The positive integer divisors of 374 that completely divides 374 are.
1, 2, 11, 17, 22, 34, 187, 374
Divisors of 834 :
The positive integer divisors of 834 that completely divides 834 are.
1, 2, 3, 6, 139, 278, 417, 834
Divisors of 176 :
The positive integer divisors of 176 that completely divides 176 are.
1, 2, 4, 8, 11, 16, 22, 44, 88, 176
GCD of numbers is the greatest common divisor
So, the GCD (742, 374, 834, 176) = 2.
Given numbers are 742, 374, 834, 176
The list of prime factors of all numbers are
Prime factors of 742 are 2 x 7 x 53
Prime factors of 374 are 2 x 11 x 17
Prime factors of 834 are 2 x 3 x 139
Prime factors of 176 are 2 x 2 x 2 x 2 x 11
The highest common occurrence is 21
Therefore, GCD of 742, 374, 834, 176 is 2.
Given numbers are 742, 374, 834, 176
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(742, 374) = 138754
GCD(742, 374) = ( 742 x 374 ) / 138754
= 742 / 374
= 742
Step2:
LCM(2, 834) = 834
GCD(2, 834) = ( 2 x 834 ) / 834
= 2 / 834
= 2
Step3:
LCM(2, 176) = 176
GCD(2, 176) = ( 2 x 176 ) / 176
= 2 / 176
= 2
So, Greatest Common Divisor of 742, 374, 834, 176 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 742, 374, 834, 176
The greatest common divisor of numbers 742, 374, 834, 176 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 374, 834, 176 is 2.
1. What is the GCD of 742, 374, 834, 176?
GCD of given numbers 742, 374, 834, 176 is 2
2. How to calculate the greatest common divisor of 742, 374, 834, 176?
We can find the highest common divisor of 742, 374, 834, 176 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, 374, 834, 176 i.e 2.
3. How can I use the GCD of 742, 374, 834, 176Calculator?
Out the numbers 742, 374, 834, 176 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.