Online GCD Calculator is useful to find the GCD of 862, 988, 714, 438 quickly. Get the easiest ways to solve the greatest common divisor of 862, 988, 714, 438 i.e 2 in different methods as follows.
Given Input numbers are 862, 988, 714, 438
In the factoring method, we have to find the divisors of all numbers
Divisors of 862 :
The positive integer divisors of 862 that completely divides 862 are.
1, 2, 431, 862
Divisors of 988 :
The positive integer divisors of 988 that completely divides 988 are.
1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
Divisors of 714 :
The positive integer divisors of 714 that completely divides 714 are.
1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
Divisors of 438 :
The positive integer divisors of 438 that completely divides 438 are.
1, 2, 3, 6, 73, 146, 219, 438
GCD of numbers is the greatest common divisor
So, the GCD (862, 988, 714, 438) = 2.
Given numbers are 862, 988, 714, 438
The list of prime factors of all numbers are
Prime factors of 862 are 2 x 431
Prime factors of 988 are 2 x 2 x 13 x 19
Prime factors of 714 are 2 x 3 x 7 x 17
Prime factors of 438 are 2 x 3 x 73
The highest common occurrence is 21
Therefore, GCD of 862, 988, 714, 438 is 2.
Given numbers are 862, 988, 714, 438
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(862, 988) = 425828
GCD(862, 988) = ( 862 x 988 ) / 425828
= 862 / 988
= 862
Step2:
LCM(2, 714) = 714
GCD(2, 714) = ( 2 x 714 ) / 714
= 2 / 714
= 2
Step3:
LCM(2, 438) = 438
GCD(2, 438) = ( 2 x 438 ) / 438
= 2 / 438
= 2
So, Greatest Common Divisor of 862, 988, 714, 438 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 862, 988, 714, 438
The greatest common divisor of numbers 862, 988, 714, 438 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 862, 988, 714, 438 is 2.
1. What is the GCD of 862, 988, 714, 438?
GCD of given numbers 862, 988, 714, 438 is 2
2. How to calculate the greatest common divisor of 862, 988, 714, 438?
We can find the highest common divisor of 862, 988, 714, 438 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 862, 988, 714, 438 i.e 2.
3. How can I use the GCD of 862, 988, 714, 438Calculator?
Out the numbers 862, 988, 714, 438 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.