Online GCD Calculator is useful to find the GCD of 137, 363, 714, 264 quickly. Get the easiest ways to solve the greatest common divisor of 137, 363, 714, 264 i.e 1 in different methods as follows.
Given Input numbers are 137, 363, 714, 264
In the factoring method, we have to find the divisors of all numbers
Divisors of 137 :
The positive integer divisors of 137 that completely divides 137 are.
1, 137
Divisors of 363 :
The positive integer divisors of 363 that completely divides 363 are.
1, 3, 11, 33, 121, 363
Divisors of 714 :
The positive integer divisors of 714 that completely divides 714 are.
1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
Divisors of 264 :
The positive integer divisors of 264 that completely divides 264 are.
1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
GCD of numbers is the greatest common divisor
So, the GCD (137, 363, 714, 264) = 1.
Given numbers are 137, 363, 714, 264
The list of prime factors of all numbers are
Prime factors of 137 are 137
Prime factors of 363 are 3 x 11 x 11
Prime factors of 714 are 2 x 3 x 7 x 17
Prime factors of 264 are 2 x 2 x 2 x 3 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 137, 363, 714, 264
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(137, 363) = 49731
GCD(137, 363) = ( 137 x 363 ) / 49731
= 137 / 363
= 137
Step2:
LCM(1, 714) = 714
GCD(1, 714) = ( 1 x 714 ) / 714
= 1 / 714
= 1
Step3:
LCM(1, 264) = 264
GCD(1, 264) = ( 1 x 264 ) / 264
= 1 / 264
= 1
So, Greatest Common Divisor of 137, 363, 714, 264 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 137, 363, 714, 264
The greatest common divisor of numbers 137, 363, 714, 264 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 137, 363, 714, 264 is 1.
1. What is the GCD of 137, 363, 714, 264?
GCD of given numbers 137, 363, 714, 264 is 1
2. How to calculate the greatest common divisor of 137, 363, 714, 264?
We can find the highest common divisor of 137, 363, 714, 264 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 137, 363, 714, 264 i.e 1.
3. How can I use the GCD of 137, 363, 714, 264Calculator?
Out the numbers 137, 363, 714, 264 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.