Online GCD Calculator is useful to find the GCD of 704, 620, 946, 442 quickly. Get the easiest ways to solve the greatest common divisor of 704, 620, 946, 442 i.e 2 in different methods as follows.
Given Input numbers are 704, 620, 946, 442
In the factoring method, we have to find the divisors of all numbers
Divisors of 704 :
The positive integer divisors of 704 that completely divides 704 are.
1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
Divisors of 620 :
The positive integer divisors of 620 that completely divides 620 are.
1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
Divisors of 946 :
The positive integer divisors of 946 that completely divides 946 are.
1, 2, 11, 22, 43, 86, 473, 946
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 (704, 620, 946, 442) = 2.
Given numbers are 704, 620, 946, 442
The list of prime factors of all numbers are
Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11
Prime factors of 620 are 2 x 2 x 5 x 31
Prime factors of 946 are 2 x 11 x 43
Prime factors of 442 are 2 x 13 x 17
The highest common occurrence is 21
Therefore, GCD of 704, 620, 946, 442 is 2.
Given numbers are 704, 620, 946, 442
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(704, 620) = 109120
GCD(704, 620) = ( 704 x 620 ) / 109120
= 704 / 620
= 704
Step2:
LCM(4, 946) = 1892
GCD(4, 946) = ( 4 x 946 ) / 1892
= 4 / 946
= 4
Step3:
LCM(2, 442) = 442
GCD(2, 442) = ( 2 x 442 ) / 442
= 2 / 442
= 2
So, Greatest Common Divisor of 704, 620, 946, 442 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 704, 620, 946, 442
The greatest common divisor of numbers 704, 620, 946, 442 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 704, 620, 946, 442 is 2.
1. What is the GCD of 704, 620, 946, 442?
GCD of given numbers 704, 620, 946, 442 is 2
2. How to calculate the greatest common divisor of 704, 620, 946, 442?
We can find the highest common divisor of 704, 620, 946, 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 704, 620, 946, 442 i.e 2.
3. How can I use the GCD of 704, 620, 946, 442Calculator?
Out the numbers 704, 620, 946, 442 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.