Online GCD Calculator is useful to find the GCD of 870, 350, 682, 177 quickly. Get the easiest ways to solve the greatest common divisor of 870, 350, 682, 177 i.e 1 in different methods as follows.
Given Input numbers are 870, 350, 682, 177
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 350 :
The positive integer divisors of 350 that completely divides 350 are.
1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
Divisors of 682 :
The positive integer divisors of 682 that completely divides 682 are.
1, 2, 11, 22, 31, 62, 341, 682
Divisors of 177 :
The positive integer divisors of 177 that completely divides 177 are.
1, 3, 59, 177
GCD of numbers is the greatest common divisor
So, the GCD (870, 350, 682, 177) = 1.
Given numbers are 870, 350, 682, 177
The list of prime factors of all numbers are
Prime factors of 870 are 2 x 3 x 5 x 29
Prime factors of 350 are 2 x 5 x 5 x 7
Prime factors of 682 are 2 x 11 x 31
Prime factors of 177 are 3 x 59
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 870, 350, 682, 177
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(870, 350) = 30450
GCD(870, 350) = ( 870 x 350 ) / 30450
= 870 / 350
= 870
Step2:
LCM(10, 682) = 3410
GCD(10, 682) = ( 10 x 682 ) / 3410
= 10 / 682
= 10
Step3:
LCM(2, 177) = 354
GCD(2, 177) = ( 2 x 177 ) / 354
= 2 / 177
= 2
So, Greatest Common Divisor of 870, 350, 682, 177 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 870, 350, 682, 177
The greatest common divisor of numbers 870, 350, 682, 177 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 870, 350, 682, 177 is 1.
1. What is the GCD of 870, 350, 682, 177?
GCD of given numbers 870, 350, 682, 177 is 1
2. How to calculate the greatest common divisor of 870, 350, 682, 177?
We can find the highest common divisor of 870, 350, 682, 177 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, 350, 682, 177 i.e 1.
3. How can I use the GCD of 870, 350, 682, 177Calculator?
Out the numbers 870, 350, 682, 177 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.