Online GCD Calculator is useful to find the GCD of 111, 748, 707, 764 quickly. Get the easiest ways to solve the greatest common divisor of 111, 748, 707, 764 i.e 1 in different methods as follows.
Given Input numbers are 111, 748, 707, 764
In the factoring method, we have to find the divisors of all numbers
Divisors of 111 :
The positive integer divisors of 111 that completely divides 111 are.
1, 3, 37, 111
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 707 :
The positive integer divisors of 707 that completely divides 707 are.
1, 7, 101, 707
Divisors of 764 :
The positive integer divisors of 764 that completely divides 764 are.
1, 2, 4, 191, 382, 764
GCD of numbers is the greatest common divisor
So, the GCD (111, 748, 707, 764) = 1.
Given numbers are 111, 748, 707, 764
The list of prime factors of all numbers are
Prime factors of 111 are 3 x 37
Prime factors of 748 are 2 x 2 x 11 x 17
Prime factors of 707 are 7 x 101
Prime factors of 764 are 2 x 2 x 191
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 111, 748, 707, 764
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(111, 748) = 83028
GCD(111, 748) = ( 111 x 748 ) / 83028
= 111 / 748
= 111
Step2:
LCM(1, 707) = 707
GCD(1, 707) = ( 1 x 707 ) / 707
= 1 / 707
= 1
Step3:
LCM(1, 764) = 764
GCD(1, 764) = ( 1 x 764 ) / 764
= 1 / 764
= 1
So, Greatest Common Divisor of 111, 748, 707, 764 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 111, 748, 707, 764
The greatest common divisor of numbers 111, 748, 707, 764 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 111, 748, 707, 764 is 1.
1. What is the GCD of 111, 748, 707, 764?
GCD of given numbers 111, 748, 707, 764 is 1
2. How to calculate the greatest common divisor of 111, 748, 707, 764?
We can find the highest common divisor of 111, 748, 707, 764 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 111, 748, 707, 764 i.e 1.
3. How can I use the GCD of 111, 748, 707, 764Calculator?
Out the numbers 111, 748, 707, 764 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.