Online GCD Calculator is useful to find the GCD of 100, 238, 694, 860 quickly. Get the easiest ways to solve the greatest common divisor of 100, 238, 694, 860 i.e 2 in different methods as follows.
Given Input numbers are 100, 238, 694, 860
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 238 :
The positive integer divisors of 238 that completely divides 238 are.
1, 2, 7, 14, 17, 34, 119, 238
Divisors of 694 :
The positive integer divisors of 694 that completely divides 694 are.
1, 2, 347, 694
Divisors of 860 :
The positive integer divisors of 860 that completely divides 860 are.
1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
GCD of numbers is the greatest common divisor
So, the GCD (100, 238, 694, 860) = 2.
Given numbers are 100, 238, 694, 860
The list of prime factors of all numbers are
Prime factors of 100 are 2 x 2 x 5 x 5
Prime factors of 238 are 2 x 7 x 17
Prime factors of 694 are 2 x 347
Prime factors of 860 are 2 x 2 x 5 x 43
The highest common occurrence is 21
Therefore, GCD of 100, 238, 694, 860 is 2.
Given numbers are 100, 238, 694, 860
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(100, 238) = 11900
GCD(100, 238) = ( 100 x 238 ) / 11900
= 100 / 238
= 100
Step2:
LCM(2, 694) = 694
GCD(2, 694) = ( 2 x 694 ) / 694
= 2 / 694
= 2
Step3:
LCM(2, 860) = 860
GCD(2, 860) = ( 2 x 860 ) / 860
= 2 / 860
= 2
So, Greatest Common Divisor of 100, 238, 694, 860 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 100, 238, 694, 860
The greatest common divisor of numbers 100, 238, 694, 860 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 238, 694, 860 is 2.
1. What is the GCD of 100, 238, 694, 860?
GCD of given numbers 100, 238, 694, 860 is 2
2. How to calculate the greatest common divisor of 100, 238, 694, 860?
We can find the highest common divisor of 100, 238, 694, 860 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, 238, 694, 860 i.e 2.
3. How can I use the GCD of 100, 238, 694, 860Calculator?
Out the numbers 100, 238, 694, 860 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.