Online GCD Calculator is useful to find the GCD of 772, 744, 148, 946 quickly. Get the easiest ways to solve the greatest common divisor of 772, 744, 148, 946 i.e 2 in different methods as follows.
Given Input numbers are 772, 744, 148, 946
In the factoring method, we have to find the divisors of all numbers
Divisors of 772 :
The positive integer divisors of 772 that completely divides 772 are.
1, 2, 4, 193, 386, 772
Divisors of 744 :
The positive integer divisors of 744 that completely divides 744 are.
1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
Divisors of 148 :
The positive integer divisors of 148 that completely divides 148 are.
1, 2, 4, 37, 74, 148
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 (772, 744, 148, 946) = 2.
Given numbers are 772, 744, 148, 946
The list of prime factors of all numbers are
Prime factors of 772 are 2 x 2 x 193
Prime factors of 744 are 2 x 2 x 2 x 3 x 31
Prime factors of 148 are 2 x 2 x 37
Prime factors of 946 are 2 x 11 x 43
The highest common occurrence is 21
Therefore, GCD of 772, 744, 148, 946 is 2.
Given numbers are 772, 744, 148, 946
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(772, 744) = 143592
GCD(772, 744) = ( 772 x 744 ) / 143592
= 772 / 744
= 772
Step2:
LCM(4, 148) = 148
GCD(4, 148) = ( 4 x 148 ) / 148
= 4 / 148
= 4
Step3:
LCM(4, 946) = 1892
GCD(4, 946) = ( 4 x 946 ) / 1892
= 4 / 946
= 4
So, Greatest Common Divisor of 772, 744, 148, 946 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 772, 744, 148, 946
The greatest common divisor of numbers 772, 744, 148, 946 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 772, 744, 148, 946 is 2.
1. What is the GCD of 772, 744, 148, 946?
GCD of given numbers 772, 744, 148, 946 is 2
2. How to calculate the greatest common divisor of 772, 744, 148, 946?
We can find the highest common divisor of 772, 744, 148, 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 772, 744, 148, 946 i.e 2.
3. How can I use the GCD of 772, 744, 148, 946Calculator?
Out the numbers 772, 744, 148, 946 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.