Online GCD Calculator is useful to find the GCD of 120, 635, 756, 743 quickly. Get the easiest ways to solve the greatest common divisor of 120, 635, 756, 743 i.e 1 in different methods as follows.
Given Input numbers are 120, 635, 756, 743
In the factoring method, we have to find the divisors of all numbers
Divisors of 120 :
The positive integer divisors of 120 that completely divides 120 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
Divisors of 635 :
The positive integer divisors of 635 that completely divides 635 are.
1, 5, 127, 635
Divisors of 756 :
The positive integer divisors of 756 that completely divides 756 are.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
Divisors of 743 :
The positive integer divisors of 743 that completely divides 743 are.
1, 743
GCD of numbers is the greatest common divisor
So, the GCD (120, 635, 756, 743) = 1.
Given numbers are 120, 635, 756, 743
The list of prime factors of all numbers are
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
Prime factors of 635 are 5 x 127
Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7
Prime factors of 743 are 743
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 120, 635, 756, 743
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(120, 635) = 15240
GCD(120, 635) = ( 120 x 635 ) / 15240
= 120 / 635
= 120
Step2:
LCM(5, 756) = 3780
GCD(5, 756) = ( 5 x 756 ) / 3780
= 5 / 756
= 5
Step3:
LCM(1, 743) = 743
GCD(1, 743) = ( 1 x 743 ) / 743
= 1 / 743
= 1
So, Greatest Common Divisor of 120, 635, 756, 743 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 120, 635, 756, 743
The greatest common divisor of numbers 120, 635, 756, 743 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 635, 756, 743 is 1.
1. What is the GCD of 120, 635, 756, 743?
GCD of given numbers 120, 635, 756, 743 is 1
2. How to calculate the greatest common divisor of 120, 635, 756, 743?
We can find the highest common divisor of 120, 635, 756, 743 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 120, 635, 756, 743 i.e 1.
3. How can I use the GCD of 120, 635, 756, 743Calculator?
Out the numbers 120, 635, 756, 743 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.