Online GCD Calculator is useful to find the GCD of 986, 852, 140, 380 quickly. Get the easiest ways to solve the greatest common divisor of 986, 852, 140, 380 i.e 2 in different methods as follows.
Given Input numbers are 986, 852, 140, 380
In the factoring method, we have to find the divisors of all numbers
Divisors of 986 :
The positive integer divisors of 986 that completely divides 986 are.
1, 2, 17, 29, 34, 58, 493, 986
Divisors of 852 :
The positive integer divisors of 852 that completely divides 852 are.
1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
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 380 :
The positive integer divisors of 380 that completely divides 380 are.
1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
GCD of numbers is the greatest common divisor
So, the GCD (986, 852, 140, 380) = 2.
Given numbers are 986, 852, 140, 380
The list of prime factors of all numbers are
Prime factors of 986 are 2 x 17 x 29
Prime factors of 852 are 2 x 2 x 3 x 71
Prime factors of 140 are 2 x 2 x 5 x 7
Prime factors of 380 are 2 x 2 x 5 x 19
The highest common occurrence is 21
Therefore, GCD of 986, 852, 140, 380 is 2.
Given numbers are 986, 852, 140, 380
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(986, 852) = 420036
GCD(986, 852) = ( 986 x 852 ) / 420036
= 986 / 852
= 986
Step2:
LCM(2, 140) = 140
GCD(2, 140) = ( 2 x 140 ) / 140
= 2 / 140
= 2
Step3:
LCM(2, 380) = 380
GCD(2, 380) = ( 2 x 380 ) / 380
= 2 / 380
= 2
So, Greatest Common Divisor of 986, 852, 140, 380 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 986, 852, 140, 380
The greatest common divisor of numbers 986, 852, 140, 380 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 986, 852, 140, 380 is 2.
1. What is the GCD of 986, 852, 140, 380?
GCD of given numbers 986, 852, 140, 380 is 2
2. How to calculate the greatest common divisor of 986, 852, 140, 380?
We can find the highest common divisor of 986, 852, 140, 380 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 986, 852, 140, 380 i.e 2.
3. How can I use the GCD of 986, 852, 140, 380Calculator?
Out the numbers 986, 852, 140, 380 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.