Online GCD Calculator is useful to find the GCD of 862, 748, 917, 678 quickly. Get the easiest ways to solve the greatest common divisor of 862, 748, 917, 678 i.e 1 in different methods as follows.
Given Input numbers are 862, 748, 917, 678
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 748 :
The positive integer divisors of 748 that completely divides 748 are.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
Divisors of 917 :
The positive integer divisors of 917 that completely divides 917 are.
1, 7, 131, 917
Divisors of 678 :
The positive integer divisors of 678 that completely divides 678 are.
1, 2, 3, 6, 113, 226, 339, 678
GCD of numbers is the greatest common divisor
So, the GCD (862, 748, 917, 678) = 1.
Given numbers are 862, 748, 917, 678
The list of prime factors of all numbers are
Prime factors of 862 are 2 x 431
Prime factors of 748 are 2 x 2 x 11 x 17
Prime factors of 917 are 7 x 131
Prime factors of 678 are 2 x 3 x 113
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 862, 748, 917, 678
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(862, 748) = 322388
GCD(862, 748) = ( 862 x 748 ) / 322388
= 862 / 748
= 862
Step2:
LCM(2, 917) = 1834
GCD(2, 917) = ( 2 x 917 ) / 1834
= 2 / 917
= 2
Step3:
LCM(1, 678) = 678
GCD(1, 678) = ( 1 x 678 ) / 678
= 1 / 678
= 1
So, Greatest Common Divisor of 862, 748, 917, 678 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 862, 748, 917, 678
The greatest common divisor of numbers 862, 748, 917, 678 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 862, 748, 917, 678 is 1.
1. What is the GCD of 862, 748, 917, 678?
GCD of given numbers 862, 748, 917, 678 is 1
2. How to calculate the greatest common divisor of 862, 748, 917, 678?
We can find the highest common divisor of 862, 748, 917, 678 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, 748, 917, 678 i.e 1.
3. How can I use the GCD of 862, 748, 917, 678Calculator?
Out the numbers 862, 748, 917, 678 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.