Online GCD Calculator is useful to find the GCD of 100, 972, 210, 124 quickly. Get the easiest ways to solve the greatest common divisor of 100, 972, 210, 124 i.e 2 in different methods as follows.
Given Input numbers are 100, 972, 210, 124
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 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 210 :
The positive integer divisors of 210 that completely divides 210 are.
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
Divisors of 124 :
The positive integer divisors of 124 that completely divides 124 are.
1, 2, 4, 31, 62, 124
GCD of numbers is the greatest common divisor
So, the GCD (100, 972, 210, 124) = 2.
Given numbers are 100, 972, 210, 124
The list of prime factors of all numbers are
Prime factors of 100 are 2 x 2 x 5 x 5
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
Prime factors of 210 are 2 x 3 x 5 x 7
Prime factors of 124 are 2 x 2 x 31
The highest common occurrence is 21
Therefore, GCD of 100, 972, 210, 124 is 2.
Given numbers are 100, 972, 210, 124
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(100, 972) = 24300
GCD(100, 972) = ( 100 x 972 ) / 24300
= 100 / 972
= 100
Step2:
LCM(4, 210) = 420
GCD(4, 210) = ( 4 x 210 ) / 420
= 4 / 210
= 4
Step3:
LCM(2, 124) = 124
GCD(2, 124) = ( 2 x 124 ) / 124
= 2 / 124
= 2
So, Greatest Common Divisor of 100, 972, 210, 124 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 100, 972, 210, 124
The greatest common divisor of numbers 100, 972, 210, 124 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 972, 210, 124 is 2.
1. What is the GCD of 100, 972, 210, 124?
GCD of given numbers 100, 972, 210, 124 is 2
2. How to calculate the greatest common divisor of 100, 972, 210, 124?
We can find the highest common divisor of 100, 972, 210, 124 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, 972, 210, 124 i.e 2.
3. How can I use the GCD of 100, 972, 210, 124Calculator?
Out the numbers 100, 972, 210, 124 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.