Online GCD Calculator is useful to find the GCD of 150, 548, 790, 946 quickly. Get the easiest ways to solve the greatest common divisor of 150, 548, 790, 946 i.e 2 in different methods as follows.
Given Input numbers are 150, 548, 790, 946
In the factoring method, we have to find the divisors of all numbers
Divisors of 150 :
The positive integer divisors of 150 that completely divides 150 are.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
Divisors of 548 :
The positive integer divisors of 548 that completely divides 548 are.
1, 2, 4, 137, 274, 548
Divisors of 790 :
The positive integer divisors of 790 that completely divides 790 are.
1, 2, 5, 10, 79, 158, 395, 790
Divisors of 946 :
The positive integer divisors of 946 that completely divides 946 are.
1, 2, 11, 22, 43, 86, 473, 946
GCD of numbers is the greatest common divisor
So, the GCD (150, 548, 790, 946) = 2.
Given numbers are 150, 548, 790, 946
The list of prime factors of all numbers are
Prime factors of 150 are 2 x 3 x 5 x 5
Prime factors of 548 are 2 x 2 x 137
Prime factors of 790 are 2 x 5 x 79
Prime factors of 946 are 2 x 11 x 43
The highest common occurrence is 21
Therefore, GCD of 150, 548, 790, 946 is 2.
Given numbers are 150, 548, 790, 946
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(150, 548) = 41100
GCD(150, 548) = ( 150 x 548 ) / 41100
= 150 / 548
= 150
Step2:
LCM(2, 790) = 790
GCD(2, 790) = ( 2 x 790 ) / 790
= 2 / 790
= 2
Step3:
LCM(2, 946) = 946
GCD(2, 946) = ( 2 x 946 ) / 946
= 2 / 946
= 2
So, Greatest Common Divisor of 150, 548, 790, 946 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 150, 548, 790, 946
The greatest common divisor of numbers 150, 548, 790, 946 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 150, 548, 790, 946 is 2.
1. What is the GCD of 150, 548, 790, 946?
GCD of given numbers 150, 548, 790, 946 is 2
2. How to calculate the greatest common divisor of 150, 548, 790, 946?
We can find the highest common divisor of 150, 548, 790, 946 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 150, 548, 790, 946 i.e 2.
3. How can I use the GCD of 150, 548, 790, 946Calculator?
Out the numbers 150, 548, 790, 946 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.