Online GCD Calculator is useful to find the GCD of 734, 120, 564, 338 quickly. Get the easiest ways to solve the greatest common divisor of 734, 120, 564, 338 i.e 2 in different methods as follows.
Given Input numbers are 734, 120, 564, 338
In the factoring method, we have to find the divisors of all numbers
Divisors of 734 :
The positive integer divisors of 734 that completely divides 734 are.
1, 2, 367, 734
Divisors of 120 :
The positive integer divisors of 120 that completely divides 120 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
Divisors of 564 :
The positive integer divisors of 564 that completely divides 564 are.
1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
Divisors of 338 :
The positive integer divisors of 338 that completely divides 338 are.
1, 2, 13, 26, 169, 338
GCD of numbers is the greatest common divisor
So, the GCD (734, 120, 564, 338) = 2.
Given numbers are 734, 120, 564, 338
The list of prime factors of all numbers are
Prime factors of 734 are 2 x 367
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
Prime factors of 564 are 2 x 2 x 3 x 47
Prime factors of 338 are 2 x 13 x 13
The highest common occurrence is 21
Therefore, GCD of 734, 120, 564, 338 is 2.
Given numbers are 734, 120, 564, 338
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(734, 120) = 44040
GCD(734, 120) = ( 734 x 120 ) / 44040
= 734 / 120
= 734
Step2:
LCM(2, 564) = 564
GCD(2, 564) = ( 2 x 564 ) / 564
= 2 / 564
= 2
Step3:
LCM(2, 338) = 338
GCD(2, 338) = ( 2 x 338 ) / 338
= 2 / 338
= 2
So, Greatest Common Divisor of 734, 120, 564, 338 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 734, 120, 564, 338
The greatest common divisor of numbers 734, 120, 564, 338 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 734, 120, 564, 338 is 2.
1. What is the GCD of 734, 120, 564, 338?
GCD of given numbers 734, 120, 564, 338 is 2
2. How to calculate the greatest common divisor of 734, 120, 564, 338?
We can find the highest common divisor of 734, 120, 564, 338 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 734, 120, 564, 338 i.e 2.
3. How can I use the GCD of 734, 120, 564, 338Calculator?
Out the numbers 734, 120, 564, 338 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.