Online GCD Calculator is useful to find the GCD of 442, 694, 292, 284 quickly. Get the easiest ways to solve the greatest common divisor of 442, 694, 292, 284 i.e 2 in different methods as follows.
Given Input numbers are 442, 694, 292, 284
In the factoring method, we have to find the divisors of all numbers
Divisors of 442 :
The positive integer divisors of 442 that completely divides 442 are.
1, 2, 13, 17, 26, 34, 221, 442
Divisors of 694 :
The positive integer divisors of 694 that completely divides 694 are.
1, 2, 347, 694
Divisors of 292 :
The positive integer divisors of 292 that completely divides 292 are.
1, 2, 4, 73, 146, 292
Divisors of 284 :
The positive integer divisors of 284 that completely divides 284 are.
1, 2, 4, 71, 142, 284
GCD of numbers is the greatest common divisor
So, the GCD (442, 694, 292, 284) = 2.
Given numbers are 442, 694, 292, 284
The list of prime factors of all numbers are
Prime factors of 442 are 2 x 13 x 17
Prime factors of 694 are 2 x 347
Prime factors of 292 are 2 x 2 x 73
Prime factors of 284 are 2 x 2 x 71
The highest common occurrence is 21
Therefore, GCD of 442, 694, 292, 284 is 2.
Given numbers are 442, 694, 292, 284
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(442, 694) = 153374
GCD(442, 694) = ( 442 x 694 ) / 153374
= 442 / 694
= 442
Step2:
LCM(2, 292) = 292
GCD(2, 292) = ( 2 x 292 ) / 292
= 2 / 292
= 2
Step3:
LCM(2, 284) = 284
GCD(2, 284) = ( 2 x 284 ) / 284
= 2 / 284
= 2
So, Greatest Common Divisor of 442, 694, 292, 284 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 442, 694, 292, 284
The greatest common divisor of numbers 442, 694, 292, 284 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 442, 694, 292, 284 is 2.
1. What is the GCD of 442, 694, 292, 284?
GCD of given numbers 442, 694, 292, 284 is 2
2. How to calculate the greatest common divisor of 442, 694, 292, 284?
We can find the highest common divisor of 442, 694, 292, 284 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 442, 694, 292, 284 i.e 2.
3. How can I use the GCD of 442, 694, 292, 284Calculator?
Out the numbers 442, 694, 292, 284 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.