Online GCD Calculator is useful to find the GCD of 750, 278, 609, 272 quickly. Get the easiest ways to solve the greatest common divisor of 750, 278, 609, 272 i.e 1 in different methods as follows.
Given Input numbers are 750, 278, 609, 272
In the factoring method, we have to find the divisors of all numbers
Divisors of 750 :
The positive integer divisors of 750 that completely divides 750 are.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
Divisors of 278 :
The positive integer divisors of 278 that completely divides 278 are.
1, 2, 139, 278
Divisors of 609 :
The positive integer divisors of 609 that completely divides 609 are.
1, 3, 7, 21, 29, 87, 203, 609
Divisors of 272 :
The positive integer divisors of 272 that completely divides 272 are.
1, 2, 4, 8, 16, 17, 34, 68, 136, 272
GCD of numbers is the greatest common divisor
So, the GCD (750, 278, 609, 272) = 1.
Given numbers are 750, 278, 609, 272
The list of prime factors of all numbers are
Prime factors of 750 are 2 x 3 x 5 x 5 x 5
Prime factors of 278 are 2 x 139
Prime factors of 609 are 3 x 7 x 29
Prime factors of 272 are 2 x 2 x 2 x 2 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 750, 278, 609, 272
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(750, 278) = 104250
GCD(750, 278) = ( 750 x 278 ) / 104250
= 750 / 278
= 750
Step2:
LCM(2, 609) = 1218
GCD(2, 609) = ( 2 x 609 ) / 1218
= 2 / 609
= 2
Step3:
LCM(1, 272) = 272
GCD(1, 272) = ( 1 x 272 ) / 272
= 1 / 272
= 1
So, Greatest Common Divisor of 750, 278, 609, 272 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 750, 278, 609, 272
The greatest common divisor of numbers 750, 278, 609, 272 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 750, 278, 609, 272 is 1.
1. What is the GCD of 750, 278, 609, 272?
GCD of given numbers 750, 278, 609, 272 is 1
2. How to calculate the greatest common divisor of 750, 278, 609, 272?
We can find the highest common divisor of 750, 278, 609, 272 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 750, 278, 609, 272 i.e 1.
3. How can I use the GCD of 750, 278, 609, 272Calculator?
Out the numbers 750, 278, 609, 272 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.