Online GCD Calculator is useful to find the GCD of 110, 748, 737, 861 quickly. Get the easiest ways to solve the greatest common divisor of 110, 748, 737, 861 i.e 1 in different methods as follows.
Given Input numbers are 110, 748, 737, 861
In the factoring method, we have to find the divisors of all numbers
Divisors of 110 :
The positive integer divisors of 110 that completely divides 110 are.
1, 2, 5, 10, 11, 22, 55, 110
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 737 :
The positive integer divisors of 737 that completely divides 737 are.
1, 11, 67, 737
Divisors of 861 :
The positive integer divisors of 861 that completely divides 861 are.
1, 3, 7, 21, 41, 123, 287, 861
GCD of numbers is the greatest common divisor
So, the GCD (110, 748, 737, 861) = 1.
Given numbers are 110, 748, 737, 861
The list of prime factors of all numbers are
Prime factors of 110 are 2 x 5 x 11
Prime factors of 748 are 2 x 2 x 11 x 17
Prime factors of 737 are 11 x 67
Prime factors of 861 are 3 x 7 x 41
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 110, 748, 737, 861
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(110, 748) = 3740
GCD(110, 748) = ( 110 x 748 ) / 3740
= 110 / 748
= 110
Step2:
LCM(22, 737) = 1474
GCD(22, 737) = ( 22 x 737 ) / 1474
= 22 / 737
= 22
Step3:
LCM(11, 861) = 9471
GCD(11, 861) = ( 11 x 861 ) / 9471
= 11 / 861
= 11
So, Greatest Common Divisor of 110, 748, 737, 861 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 110, 748, 737, 861
The greatest common divisor of numbers 110, 748, 737, 861 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 110, 748, 737, 861 is 1.
1. What is the GCD of 110, 748, 737, 861?
GCD of given numbers 110, 748, 737, 861 is 1
2. How to calculate the greatest common divisor of 110, 748, 737, 861?
We can find the highest common divisor of 110, 748, 737, 861 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 110, 748, 737, 861 i.e 1.
3. How can I use the GCD of 110, 748, 737, 861Calculator?
Out the numbers 110, 748, 737, 861 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.