Online GCD Calculator is useful to find the GCD of 735, 651, 110, 112 quickly. Get the easiest ways to solve the greatest common divisor of 735, 651, 110, 112 i.e 1 in different methods as follows.
Given Input numbers are 735, 651, 110, 112
In the factoring method, we have to find the divisors of all numbers
Divisors of 735 :
The positive integer divisors of 735 that completely divides 735 are.
1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
Divisors of 651 :
The positive integer divisors of 651 that completely divides 651 are.
1, 3, 7, 21, 31, 93, 217, 651
Divisors of 110 :
The positive integer divisors of 110 that completely divides 110 are.
1, 2, 5, 10, 11, 22, 55, 110
Divisors of 112 :
The positive integer divisors of 112 that completely divides 112 are.
1, 2, 4, 7, 8, 14, 16, 28, 56, 112
GCD of numbers is the greatest common divisor
So, the GCD (735, 651, 110, 112) = 1.
Given numbers are 735, 651, 110, 112
The list of prime factors of all numbers are
Prime factors of 735 are 3 x 5 x 7 x 7
Prime factors of 651 are 3 x 7 x 31
Prime factors of 110 are 2 x 5 x 11
Prime factors of 112 are 2 x 2 x 2 x 2 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 735, 651, 110, 112
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(735, 651) = 22785
GCD(735, 651) = ( 735 x 651 ) / 22785
= 735 / 651
= 735
Step2:
LCM(21, 110) = 2310
GCD(21, 110) = ( 21 x 110 ) / 2310
= 21 / 110
= 21
Step3:
LCM(1, 112) = 112
GCD(1, 112) = ( 1 x 112 ) / 112
= 1 / 112
= 1
So, Greatest Common Divisor of 735, 651, 110, 112 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 735, 651, 110, 112
The greatest common divisor of numbers 735, 651, 110, 112 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 735, 651, 110, 112 is 1.
1. What is the GCD of 735, 651, 110, 112?
GCD of given numbers 735, 651, 110, 112 is 1
2. How to calculate the greatest common divisor of 735, 651, 110, 112?
We can find the highest common divisor of 735, 651, 110, 112 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 735, 651, 110, 112 i.e 1.
3. How can I use the GCD of 735, 651, 110, 112Calculator?
Out the numbers 735, 651, 110, 112 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.