Online GCD Calculator is useful to find the GCD of 242, 696, 142 quickly. Get the easiest ways to solve the greatest common divisor of 242, 696, 142 i.e 2 in different methods as follows.
Given Input numbers are 242, 696, 142
In the factoring method, we have to find the divisors of all numbers
Divisors of 242 :
The positive integer divisors of 242 that completely divides 242 are.
1, 2, 11, 22, 121, 242
Divisors of 696 :
The positive integer divisors of 696 that completely divides 696 are.
1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
Divisors of 142 :
The positive integer divisors of 142 that completely divides 142 are.
1, 2, 71, 142
GCD of numbers is the greatest common divisor
So, the GCD (242, 696, 142) = 2.
Given numbers are 242, 696, 142
The list of prime factors of all numbers are
Prime factors of 242 are 2 x 11 x 11
Prime factors of 696 are 2 x 2 x 2 x 3 x 29
Prime factors of 142 are 2 x 71
The highest common occurrence is 21
Therefore, GCD of 242, 696, 142 is 2.
Given numbers are 242, 696, 142
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(242, 696) = 84216
GCD(242, 696) = ( 242 x 696 ) / 84216
= 242 / 696
= 242
Step2:
LCM(2, 142) = 142
GCD(2, 142) = ( 2 x 142 ) / 142
= 2 / 142
= 2
So, Greatest Common Divisor of 242, 696, 142 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 242, 696, 142
The greatest common divisor of numbers 242, 696, 142 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 242, 696, 142 is 2.
1. What is the GCD of 242, 696, 142?
GCD of given numbers 242, 696, 142 is 2
2. How to calculate the greatest common divisor of 242, 696, 142?
We can find the highest common divisor of 242, 696, 142 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 242, 696, 142 i.e 2.
3. How can I use the GCD of 242, 696, 142Calculator?
Out the numbers 242, 696, 142 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.