Online GCD Calculator is useful to find the GCD of 237, 700, 309, 747 quickly. Get the easiest ways to solve the greatest common divisor of 237, 700, 309, 747 i.e 1 in different methods as follows.
Given Input numbers are 237, 700, 309, 747
In the factoring method, we have to find the divisors of all numbers
Divisors of 237 :
The positive integer divisors of 237 that completely divides 237 are.
1, 3, 79, 237
Divisors of 700 :
The positive integer divisors of 700 that completely divides 700 are.
1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
Divisors of 309 :
The positive integer divisors of 309 that completely divides 309 are.
1, 3, 103, 309
Divisors of 747 :
The positive integer divisors of 747 that completely divides 747 are.
1, 3, 9, 83, 249, 747
GCD of numbers is the greatest common divisor
So, the GCD (237, 700, 309, 747) = 1.
Given numbers are 237, 700, 309, 747
The list of prime factors of all numbers are
Prime factors of 237 are 3 x 79
Prime factors of 700 are 2 x 2 x 5 x 5 x 7
Prime factors of 309 are 3 x 103
Prime factors of 747 are 3 x 3 x 83
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 237, 700, 309, 747
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(237, 700) = 165900
GCD(237, 700) = ( 237 x 700 ) / 165900
= 237 / 700
= 237
Step2:
LCM(1, 309) = 309
GCD(1, 309) = ( 1 x 309 ) / 309
= 1 / 309
= 1
Step3:
LCM(1, 747) = 747
GCD(1, 747) = ( 1 x 747 ) / 747
= 1 / 747
= 1
So, Greatest Common Divisor of 237, 700, 309, 747 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 237, 700, 309, 747
The greatest common divisor of numbers 237, 700, 309, 747 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 237, 700, 309, 747 is 1.
1. What is the GCD of 237, 700, 309, 747?
GCD of given numbers 237, 700, 309, 747 is 1
2. How to calculate the greatest common divisor of 237, 700, 309, 747?
We can find the highest common divisor of 237, 700, 309, 747 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 237, 700, 309, 747 i.e 1.
3. How can I use the GCD of 237, 700, 309, 747Calculator?
Out the numbers 237, 700, 309, 747 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.