Online GCD Calculator is useful to find the GCD of 275, 693, 126, 360 quickly. Get the easiest ways to solve the greatest common divisor of 275, 693, 126, 360 i.e 1 in different methods as follows.
Given Input numbers are 275, 693, 126, 360
In the factoring method, we have to find the divisors of all numbers
Divisors of 275 :
The positive integer divisors of 275 that completely divides 275 are.
1, 5, 11, 25, 55, 275
Divisors of 693 :
The positive integer divisors of 693 that completely divides 693 are.
1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
Divisors of 126 :
The positive integer divisors of 126 that completely divides 126 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
Divisors of 360 :
The positive integer divisors of 360 that completely divides 360 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
GCD of numbers is the greatest common divisor
So, the GCD (275, 693, 126, 360) = 1.
Given numbers are 275, 693, 126, 360
The list of prime factors of all numbers are
Prime factors of 275 are 5 x 5 x 11
Prime factors of 693 are 3 x 3 x 7 x 11
Prime factors of 126 are 2 x 3 x 3 x 7
Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 275, 693, 126, 360
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(275, 693) = 17325
GCD(275, 693) = ( 275 x 693 ) / 17325
= 275 / 693
= 275
Step2:
LCM(11, 126) = 1386
GCD(11, 126) = ( 11 x 126 ) / 1386
= 11 / 126
= 11
Step3:
LCM(1, 360) = 360
GCD(1, 360) = ( 1 x 360 ) / 360
= 1 / 360
= 1
So, Greatest Common Divisor of 275, 693, 126, 360 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 275, 693, 126, 360
The greatest common divisor of numbers 275, 693, 126, 360 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 275, 693, 126, 360 is 1.
1. What is the GCD of 275, 693, 126, 360?
GCD of given numbers 275, 693, 126, 360 is 1
2. How to calculate the greatest common divisor of 275, 693, 126, 360?
We can find the highest common divisor of 275, 693, 126, 360 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 275, 693, 126, 360 i.e 1.
3. How can I use the GCD of 275, 693, 126, 360Calculator?
Out the numbers 275, 693, 126, 360 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.