Online GCD Calculator is useful to find the GCD of 870, 268, 742, 309 quickly. Get the easiest ways to solve the greatest common divisor of 870, 268, 742, 309 i.e 1 in different methods as follows.
Given Input numbers are 870, 268, 742, 309
In the factoring method, we have to find the divisors of all numbers
Divisors of 870 :
The positive integer divisors of 870 that completely divides 870 are.
1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
Divisors of 268 :
The positive integer divisors of 268 that completely divides 268 are.
1, 2, 4, 67, 134, 268
Divisors of 742 :
The positive integer divisors of 742 that completely divides 742 are.
1, 2, 7, 14, 53, 106, 371, 742
Divisors of 309 :
The positive integer divisors of 309 that completely divides 309 are.
1, 3, 103, 309
GCD of numbers is the greatest common divisor
So, the GCD (870, 268, 742, 309) = 1.
Given numbers are 870, 268, 742, 309
The list of prime factors of all numbers are
Prime factors of 870 are 2 x 3 x 5 x 29
Prime factors of 268 are 2 x 2 x 67
Prime factors of 742 are 2 x 7 x 53
Prime factors of 309 are 3 x 103
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 870, 268, 742, 309
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(870, 268) = 116580
GCD(870, 268) = ( 870 x 268 ) / 116580
= 870 / 268
= 870
Step2:
LCM(2, 742) = 742
GCD(2, 742) = ( 2 x 742 ) / 742
= 2 / 742
= 2
Step3:
LCM(2, 309) = 618
GCD(2, 309) = ( 2 x 309 ) / 618
= 2 / 309
= 2
So, Greatest Common Divisor of 870, 268, 742, 309 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 870, 268, 742, 309
The greatest common divisor of numbers 870, 268, 742, 309 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 870, 268, 742, 309 is 1.
1. What is the GCD of 870, 268, 742, 309?
GCD of given numbers 870, 268, 742, 309 is 1
2. How to calculate the greatest common divisor of 870, 268, 742, 309?
We can find the highest common divisor of 870, 268, 742, 309 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 870, 268, 742, 309 i.e 1.
3. How can I use the GCD of 870, 268, 742, 309Calculator?
Out the numbers 870, 268, 742, 309 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.