Online GCD Calculator is useful to find the GCD of 286, 398, 972, 716 quickly. Get the easiest ways to solve the greatest common divisor of 286, 398, 972, 716 i.e 2 in different methods as follows.
Given Input numbers are 286, 398, 972, 716
In the factoring method, we have to find the divisors of all numbers
Divisors of 286 :
The positive integer divisors of 286 that completely divides 286 are.
1, 2, 11, 13, 22, 26, 143, 286
Divisors of 398 :
The positive integer divisors of 398 that completely divides 398 are.
1, 2, 199, 398
Divisors of 972 :
The positive integer divisors of 972 that completely divides 972 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
Divisors of 716 :
The positive integer divisors of 716 that completely divides 716 are.
1, 2, 4, 179, 358, 716
GCD of numbers is the greatest common divisor
So, the GCD (286, 398, 972, 716) = 2.
Given numbers are 286, 398, 972, 716
The list of prime factors of all numbers are
Prime factors of 286 are 2 x 11 x 13
Prime factors of 398 are 2 x 199
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
Prime factors of 716 are 2 x 2 x 179
The highest common occurrence is 21
Therefore, GCD of 286, 398, 972, 716 is 2.
Given numbers are 286, 398, 972, 716
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(286, 398) = 56914
GCD(286, 398) = ( 286 x 398 ) / 56914
= 286 / 398
= 286
Step2:
LCM(2, 972) = 972
GCD(2, 972) = ( 2 x 972 ) / 972
= 2 / 972
= 2
Step3:
LCM(2, 716) = 716
GCD(2, 716) = ( 2 x 716 ) / 716
= 2 / 716
= 2
So, Greatest Common Divisor of 286, 398, 972, 716 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 286, 398, 972, 716
The greatest common divisor of numbers 286, 398, 972, 716 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 286, 398, 972, 716 is 2.
1. What is the GCD of 286, 398, 972, 716?
GCD of given numbers 286, 398, 972, 716 is 2
2. How to calculate the greatest common divisor of 286, 398, 972, 716?
We can find the highest common divisor of 286, 398, 972, 716 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 286, 398, 972, 716 i.e 2.
3. How can I use the GCD of 286, 398, 972, 716Calculator?
Out the numbers 286, 398, 972, 716 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.