Online GCD Calculator is useful to find the GCD of 748, 777, 715, 132 quickly. Get the easiest ways to solve the greatest common divisor of 748, 777, 715, 132 i.e 1 in different methods as follows.
Given Input numbers are 748, 777, 715, 132
In the factoring method, we have to find the divisors of all numbers
Divisors of 748 :
The positive integer divisors of 748 that completely divides 748 are.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
Divisors of 777 :
The positive integer divisors of 777 that completely divides 777 are.
1, 3, 7, 21, 37, 111, 259, 777
Divisors of 715 :
The positive integer divisors of 715 that completely divides 715 are.
1, 5, 11, 13, 55, 65, 143, 715
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 (748, 777, 715, 132) = 1.
Given numbers are 748, 777, 715, 132
The list of prime factors of all numbers are
Prime factors of 748 are 2 x 2 x 11 x 17
Prime factors of 777 are 3 x 7 x 37
Prime factors of 715 are 5 x 11 x 13
Prime factors of 132 are 2 x 2 x 3 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 748, 777, 715, 132
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(748, 777) = 581196
GCD(748, 777) = ( 748 x 777 ) / 581196
= 748 / 777
= 748
Step2:
LCM(1, 715) = 715
GCD(1, 715) = ( 1 x 715 ) / 715
= 1 / 715
= 1
Step3:
LCM(1, 132) = 132
GCD(1, 132) = ( 1 x 132 ) / 132
= 1 / 132
= 1
So, Greatest Common Divisor of 748, 777, 715, 132 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 748, 777, 715, 132
The greatest common divisor of numbers 748, 777, 715, 132 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 777, 715, 132 is 1.
1. What is the GCD of 748, 777, 715, 132?
GCD of given numbers 748, 777, 715, 132 is 1
2. How to calculate the greatest common divisor of 748, 777, 715, 132?
We can find the highest common divisor of 748, 777, 715, 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 748, 777, 715, 132 i.e 1.
3. How can I use the GCD of 748, 777, 715, 132Calculator?
Out the numbers 748, 777, 715, 132 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.