Online GCD Calculator is useful to find the GCD of 672, 424, 698, 442 quickly. Get the easiest ways to solve the greatest common divisor of 672, 424, 698, 442 i.e 2 in different methods as follows.
Given Input numbers are 672, 424, 698, 442
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 424 :
The positive integer divisors of 424 that completely divides 424 are.
1, 2, 4, 8, 53, 106, 212, 424
Divisors of 698 :
The positive integer divisors of 698 that completely divides 698 are.
1, 2, 349, 698
Divisors of 442 :
The positive integer divisors of 442 that completely divides 442 are.
1, 2, 13, 17, 26, 34, 221, 442
GCD of numbers is the greatest common divisor
So, the GCD (672, 424, 698, 442) = 2.
Given numbers are 672, 424, 698, 442
The list of prime factors of all numbers are
Prime factors of 672 are 2 x 2 x 2 x 2 x 2 x 3 x 7
Prime factors of 424 are 2 x 2 x 2 x 53
Prime factors of 698 are 2 x 349
Prime factors of 442 are 2 x 13 x 17
The highest common occurrence is 21
Therefore, GCD of 672, 424, 698, 442 is 2.
Given numbers are 672, 424, 698, 442
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(672, 424) = 35616
GCD(672, 424) = ( 672 x 424 ) / 35616
= 672 / 424
= 672
Step2:
LCM(8, 698) = 2792
GCD(8, 698) = ( 8 x 698 ) / 2792
= 8 / 698
= 8
Step3:
LCM(2, 442) = 442
GCD(2, 442) = ( 2 x 442 ) / 442
= 2 / 442
= 2
So, Greatest Common Divisor of 672, 424, 698, 442 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 672, 424, 698, 442
The greatest common divisor of numbers 672, 424, 698, 442 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 672, 424, 698, 442 is 2.
1. What is the GCD of 672, 424, 698, 442?
GCD of given numbers 672, 424, 698, 442 is 2
2. How to calculate the greatest common divisor of 672, 424, 698, 442?
We can find the highest common divisor of 672, 424, 698, 442 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 672, 424, 698, 442 i.e 2.
3. How can I use the GCD of 672, 424, 698, 442Calculator?
Out the numbers 672, 424, 698, 442 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.