Online GCD Calculator is useful to find the GCD of 100, 910, 196, 224 quickly. Get the easiest ways to solve the greatest common divisor of 100, 910, 196, 224 i.e 2 in different methods as follows.
Given Input numbers are 100, 910, 196, 224
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 910 :
The positive integer divisors of 910 that completely divides 910 are.
1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
Divisors of 196 :
The positive integer divisors of 196 that completely divides 196 are.
1, 2, 4, 7, 14, 28, 49, 98, 196
Divisors of 224 :
The positive integer divisors of 224 that completely divides 224 are.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
GCD of numbers is the greatest common divisor
So, the GCD (100, 910, 196, 224) = 2.
Given numbers are 100, 910, 196, 224
The list of prime factors of all numbers are
Prime factors of 100 are 2 x 2 x 5 x 5
Prime factors of 910 are 2 x 5 x 7 x 13
Prime factors of 196 are 2 x 2 x 7 x 7
Prime factors of 224 are 2 x 2 x 2 x 2 x 2 x 7
The highest common occurrence is 21
Therefore, GCD of 100, 910, 196, 224 is 2.
Given numbers are 100, 910, 196, 224
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(100, 910) = 9100
GCD(100, 910) = ( 100 x 910 ) / 9100
= 100 / 910
= 100
Step2:
LCM(10, 196) = 980
GCD(10, 196) = ( 10 x 196 ) / 980
= 10 / 196
= 10
Step3:
LCM(2, 224) = 224
GCD(2, 224) = ( 2 x 224 ) / 224
= 2 / 224
= 2
So, Greatest Common Divisor of 100, 910, 196, 224 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 100, 910, 196, 224
The greatest common divisor of numbers 100, 910, 196, 224 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 910, 196, 224 is 2.
1. What is the GCD of 100, 910, 196, 224?
GCD of given numbers 100, 910, 196, 224 is 2
2. How to calculate the greatest common divisor of 100, 910, 196, 224?
We can find the highest common divisor of 100, 910, 196, 224 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, 910, 196, 224 i.e 2.
3. How can I use the GCD of 100, 910, 196, 224Calculator?
Out the numbers 100, 910, 196, 224 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.