Online GCD Calculator is useful to find the GCD of 870, 351, 140, 243 quickly. Get the easiest ways to solve the greatest common divisor of 870, 351, 140, 243 i.e 1 in different methods as follows.
Given Input numbers are 870, 351, 140, 243
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 351 :
The positive integer divisors of 351 that completely divides 351 are.
1, 3, 9, 13, 27, 39, 117, 351
Divisors of 140 :
The positive integer divisors of 140 that completely divides 140 are.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
Divisors of 243 :
The positive integer divisors of 243 that completely divides 243 are.
1, 3, 9, 27, 81, 243
GCD of numbers is the greatest common divisor
So, the GCD (870, 351, 140, 243) = 1.
Given numbers are 870, 351, 140, 243
The list of prime factors of all numbers are
Prime factors of 870 are 2 x 3 x 5 x 29
Prime factors of 351 are 3 x 3 x 3 x 13
Prime factors of 140 are 2 x 2 x 5 x 7
Prime factors of 243 are 3 x 3 x 3 x 3 x 3
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 870, 351, 140, 243
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(870, 351) = 101790
GCD(870, 351) = ( 870 x 351 ) / 101790
= 870 / 351
= 870
Step2:
LCM(3, 140) = 420
GCD(3, 140) = ( 3 x 140 ) / 420
= 3 / 140
= 3
Step3:
LCM(1, 243) = 243
GCD(1, 243) = ( 1 x 243 ) / 243
= 1 / 243
= 1
So, Greatest Common Divisor of 870, 351, 140, 243 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 870, 351, 140, 243
The greatest common divisor of numbers 870, 351, 140, 243 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 870, 351, 140, 243 is 1.
1. What is the GCD of 870, 351, 140, 243?
GCD of given numbers 870, 351, 140, 243 is 1
2. How to calculate the greatest common divisor of 870, 351, 140, 243?
We can find the highest common divisor of 870, 351, 140, 243 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, 351, 140, 243 i.e 1.
3. How can I use the GCD of 870, 351, 140, 243Calculator?
Out the numbers 870, 351, 140, 243 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.