Online GCD Calculator is useful to find the GCD of 100, 948, 678, 867 quickly. Get the easiest ways to solve the greatest common divisor of 100, 948, 678, 867 i.e 1 in different methods as follows.
Given Input numbers are 100, 948, 678, 867
In the factoring method, we have to find the divisors of all numbers
Divisors of 100 :
The positive integer divisors of 100 that completely divides 100 are.
1, 2, 4, 5, 10, 20, 25, 50, 100
Divisors of 948 :
The positive integer divisors of 948 that completely divides 948 are.
1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
Divisors of 678 :
The positive integer divisors of 678 that completely divides 678 are.
1, 2, 3, 6, 113, 226, 339, 678
Divisors of 867 :
The positive integer divisors of 867 that completely divides 867 are.
1, 3, 17, 51, 289, 867
GCD of numbers is the greatest common divisor
So, the GCD (100, 948, 678, 867) = 1.
Given numbers are 100, 948, 678, 867
The list of prime factors of all numbers are
Prime factors of 100 are 2 x 2 x 5 x 5
Prime factors of 948 are 2 x 2 x 3 x 79
Prime factors of 678 are 2 x 3 x 113
Prime factors of 867 are 3 x 17 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 100, 948, 678, 867
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(100, 948) = 23700
GCD(100, 948) = ( 100 x 948 ) / 23700
= 100 / 948
= 100
Step2:
LCM(4, 678) = 1356
GCD(4, 678) = ( 4 x 678 ) / 1356
= 4 / 678
= 4
Step3:
LCM(2, 867) = 1734
GCD(2, 867) = ( 2 x 867 ) / 1734
= 2 / 867
= 2
So, Greatest Common Divisor of 100, 948, 678, 867 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 100, 948, 678, 867
The greatest common divisor of numbers 100, 948, 678, 867 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 948, 678, 867 is 1.
1. What is the GCD of 100, 948, 678, 867?
GCD of given numbers 100, 948, 678, 867 is 1
2. How to calculate the greatest common divisor of 100, 948, 678, 867?
We can find the highest common divisor of 100, 948, 678, 867 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 100, 948, 678, 867 i.e 1.
3. How can I use the GCD of 100, 948, 678, 867Calculator?
Out the numbers 100, 948, 678, 867 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.