Online GCD Calculator is useful to find the GCD of 148, 746, 270, 156 quickly. Get the easiest ways to solve the greatest common divisor of 148, 746, 270, 156 i.e 2 in different methods as follows.
Given Input numbers are 148, 746, 270, 156
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 746 :
The positive integer divisors of 746 that completely divides 746 are.
1, 2, 373, 746
Divisors of 270 :
The positive integer divisors of 270 that completely divides 270 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
Divisors of 156 :
The positive integer divisors of 156 that completely divides 156 are.
1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
GCD of numbers is the greatest common divisor
So, the GCD (148, 746, 270, 156) = 2.
Given numbers are 148, 746, 270, 156
The list of prime factors of all numbers are
Prime factors of 148 are 2 x 2 x 37
Prime factors of 746 are 2 x 373
Prime factors of 270 are 2 x 3 x 3 x 3 x 5
Prime factors of 156 are 2 x 2 x 3 x 13
The highest common occurrence is 21
Therefore, GCD of 148, 746, 270, 156 is 2.
Given numbers are 148, 746, 270, 156
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(148, 746) = 55204
GCD(148, 746) = ( 148 x 746 ) / 55204
= 148 / 746
= 148
Step2:
LCM(2, 270) = 270
GCD(2, 270) = ( 2 x 270 ) / 270
= 2 / 270
= 2
Step3:
LCM(2, 156) = 156
GCD(2, 156) = ( 2 x 156 ) / 156
= 2 / 156
= 2
So, Greatest Common Divisor of 148, 746, 270, 156 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 148, 746, 270, 156
The greatest common divisor of numbers 148, 746, 270, 156 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 148, 746, 270, 156 is 2.
1. What is the GCD of 148, 746, 270, 156?
GCD of given numbers 148, 746, 270, 156 is 2
2. How to calculate the greatest common divisor of 148, 746, 270, 156?
We can find the highest common divisor of 148, 746, 270, 156 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, 746, 270, 156 i.e 2.
3. How can I use the GCD of 148, 746, 270, 156Calculator?
Out the numbers 148, 746, 270, 156 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.