Online GCD Calculator is useful to find the GCD of 148, 334, 734, 132 quickly. Get the easiest ways to solve the greatest common divisor of 148, 334, 734, 132 i.e 2 in different methods as follows.
Given Input numbers are 148, 334, 734, 132
In the factoring method, we have to find the divisors of all numbers
Divisors of 148 :
The positive integer divisors of 148 that completely divides 148 are.
1, 2, 4, 37, 74, 148
Divisors of 334 :
The positive integer divisors of 334 that completely divides 334 are.
1, 2, 167, 334
Divisors of 734 :
The positive integer divisors of 734 that completely divides 734 are.
1, 2, 367, 734
Divisors of 132 :
The positive integer divisors of 132 that completely divides 132 are.
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
GCD of numbers is the greatest common divisor
So, the GCD (148, 334, 734, 132) = 2.
Given numbers are 148, 334, 734, 132
The list of prime factors of all numbers are
Prime factors of 148 are 2 x 2 x 37
Prime factors of 334 are 2 x 167
Prime factors of 734 are 2 x 367
Prime factors of 132 are 2 x 2 x 3 x 11
The highest common occurrence is 21
Therefore, GCD of 148, 334, 734, 132 is 2.
Given numbers are 148, 334, 734, 132
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(148, 334) = 24716
GCD(148, 334) = ( 148 x 334 ) / 24716
= 148 / 334
= 148
Step2:
LCM(2, 734) = 734
GCD(2, 734) = ( 2 x 734 ) / 734
= 2 / 734
= 2
Step3:
LCM(2, 132) = 132
GCD(2, 132) = ( 2 x 132 ) / 132
= 2 / 132
= 2
So, Greatest Common Divisor of 148, 334, 734, 132 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 148, 334, 734, 132
The greatest common divisor of numbers 148, 334, 734, 132 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 148, 334, 734, 132 is 2.
1. What is the GCD of 148, 334, 734, 132?
GCD of given numbers 148, 334, 734, 132 is 2
2. How to calculate the greatest common divisor of 148, 334, 734, 132?
We can find the highest common divisor of 148, 334, 734, 132 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 148, 334, 734, 132 i.e 2.
3. How can I use the GCD of 148, 334, 734, 132Calculator?
Out the numbers 148, 334, 734, 132 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.