Online GCD Calculator is useful to find the GCD of 142, 128, 822, 100 quickly. Get the easiest ways to solve the greatest common divisor of 142, 128, 822, 100 i.e 2 in different methods as follows.
Given Input numbers are 142, 128, 822, 100
In the factoring method, we have to find the divisors of all numbers
Divisors of 142 :
The positive integer divisors of 142 that completely divides 142 are.
1, 2, 71, 142
Divisors of 128 :
The positive integer divisors of 128 that completely divides 128 are.
1, 2, 4, 8, 16, 32, 64, 128
Divisors of 822 :
The positive integer divisors of 822 that completely divides 822 are.
1, 2, 3, 6, 137, 274, 411, 822
Divisors of 100 :
The positive integer divisors of 100 that completely divides 100 are.
1, 2, 4, 5, 10, 20, 25, 50, 100
GCD of numbers is the greatest common divisor
So, the GCD (142, 128, 822, 100) = 2.
Given numbers are 142, 128, 822, 100
The list of prime factors of all numbers are
Prime factors of 142 are 2 x 71
Prime factors of 128 are 2 x 2 x 2 x 2 x 2 x 2 x 2
Prime factors of 822 are 2 x 3 x 137
Prime factors of 100 are 2 x 2 x 5 x 5
The highest common occurrence is 21
Therefore, GCD of 142, 128, 822, 100 is 2.
Given numbers are 142, 128, 822, 100
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(142, 128) = 9088
GCD(142, 128) = ( 142 x 128 ) / 9088
= 142 / 128
= 142
Step2:
LCM(2, 822) = 822
GCD(2, 822) = ( 2 x 822 ) / 822
= 2 / 822
= 2
Step3:
LCM(2, 100) = 100
GCD(2, 100) = ( 2 x 100 ) / 100
= 2 / 100
= 2
So, Greatest Common Divisor of 142, 128, 822, 100 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 142, 128, 822, 100
The greatest common divisor of numbers 142, 128, 822, 100 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 142, 128, 822, 100 is 2.
1. What is the GCD of 142, 128, 822, 100?
GCD of given numbers 142, 128, 822, 100 is 2
2. How to calculate the greatest common divisor of 142, 128, 822, 100?
We can find the highest common divisor of 142, 128, 822, 100 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 142, 128, 822, 100 i.e 2.
3. How can I use the GCD of 142, 128, 822, 100Calculator?
Out the numbers 142, 128, 822, 100 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.