Online GCD Calculator is useful to find the GCD of 142, 986, 226, 672 quickly. Get the easiest ways to solve the greatest common divisor of 142, 986, 226, 672 i.e 2 in different methods as follows.
Given Input numbers are 142, 986, 226, 672
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 986 :
The positive integer divisors of 986 that completely divides 986 are.
1, 2, 17, 29, 34, 58, 493, 986
Divisors of 226 :
The positive integer divisors of 226 that completely divides 226 are.
1, 2, 113, 226
Divisors of 672 :
The positive integer divisors of 672 that completely divides 672 are.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
GCD of numbers is the greatest common divisor
So, the GCD (142, 986, 226, 672) = 2.
Given numbers are 142, 986, 226, 672
The list of prime factors of all numbers are
Prime factors of 142 are 2 x 71
Prime factors of 986 are 2 x 17 x 29
Prime factors of 226 are 2 x 113
Prime factors of 672 are 2 x 2 x 2 x 2 x 2 x 3 x 7
The highest common occurrence is 21
Therefore, GCD of 142, 986, 226, 672 is 2.
Given numbers are 142, 986, 226, 672
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(142, 986) = 70006
GCD(142, 986) = ( 142 x 986 ) / 70006
= 142 / 986
= 142
Step2:
LCM(2, 226) = 226
GCD(2, 226) = ( 2 x 226 ) / 226
= 2 / 226
= 2
Step3:
LCM(2, 672) = 672
GCD(2, 672) = ( 2 x 672 ) / 672
= 2 / 672
= 2
So, Greatest Common Divisor of 142, 986, 226, 672 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 142, 986, 226, 672
The greatest common divisor of numbers 142, 986, 226, 672 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 142, 986, 226, 672 is 2.
1. What is the GCD of 142, 986, 226, 672?
GCD of given numbers 142, 986, 226, 672 is 2
2. How to calculate the greatest common divisor of 142, 986, 226, 672?
We can find the highest common divisor of 142, 986, 226, 672 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, 986, 226, 672 i.e 2.
3. How can I use the GCD of 142, 986, 226, 672Calculator?
Out the numbers 142, 986, 226, 672 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.