Online GCD Calculator is useful to find the GCD of 356, 442, 140, 992 quickly. Get the easiest ways to solve the greatest common divisor of 356, 442, 140, 992 i.e 2 in different methods as follows.
Given Input numbers are 356, 442, 140, 992
In the factoring method, we have to find the divisors of all numbers
Divisors of 356 :
The positive integer divisors of 356 that completely divides 356 are.
1, 2, 4, 89, 178, 356
Divisors of 442 :
The positive integer divisors of 442 that completely divides 442 are.
1, 2, 13, 17, 26, 34, 221, 442
Divisors of 140 :
The positive integer divisors of 140 that completely divides 140 are.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
Divisors of 992 :
The positive integer divisors of 992 that completely divides 992 are.
1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
GCD of numbers is the greatest common divisor
So, the GCD (356, 442, 140, 992) = 2.
Given numbers are 356, 442, 140, 992
The list of prime factors of all numbers are
Prime factors of 356 are 2 x 2 x 89
Prime factors of 442 are 2 x 13 x 17
Prime factors of 140 are 2 x 2 x 5 x 7
Prime factors of 992 are 2 x 2 x 2 x 2 x 2 x 31
The highest common occurrence is 21
Therefore, GCD of 356, 442, 140, 992 is 2.
Given numbers are 356, 442, 140, 992
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(356, 442) = 78676
GCD(356, 442) = ( 356 x 442 ) / 78676
= 356 / 442
= 356
Step2:
LCM(2, 140) = 140
GCD(2, 140) = ( 2 x 140 ) / 140
= 2 / 140
= 2
Step3:
LCM(2, 992) = 992
GCD(2, 992) = ( 2 x 992 ) / 992
= 2 / 992
= 2
So, Greatest Common Divisor of 356, 442, 140, 992 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 356, 442, 140, 992
The greatest common divisor of numbers 356, 442, 140, 992 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 356, 442, 140, 992 is 2.
1. What is the GCD of 356, 442, 140, 992?
GCD of given numbers 356, 442, 140, 992 is 2
2. How to calculate the greatest common divisor of 356, 442, 140, 992?
We can find the highest common divisor of 356, 442, 140, 992 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 356, 442, 140, 992 i.e 2.
3. How can I use the GCD of 356, 442, 140, 992Calculator?
Out the numbers 356, 442, 140, 992 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.