Online GCD Calculator is useful to find the GCD of 842, 946, 572, 120 quickly. Get the easiest ways to solve the greatest common divisor of 842, 946, 572, 120 i.e 2 in different methods as follows.
Given Input numbers are 842, 946, 572, 120
In the factoring method, we have to find the divisors of all numbers
Divisors of 842 :
The positive integer divisors of 842 that completely divides 842 are.
1, 2, 421, 842
Divisors of 946 :
The positive integer divisors of 946 that completely divides 946 are.
1, 2, 11, 22, 43, 86, 473, 946
Divisors of 572 :
The positive integer divisors of 572 that completely divides 572 are.
1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
Divisors of 120 :
The positive integer divisors of 120 that completely divides 120 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
GCD of numbers is the greatest common divisor
So, the GCD (842, 946, 572, 120) = 2.
Given numbers are 842, 946, 572, 120
The list of prime factors of all numbers are
Prime factors of 842 are 2 x 421
Prime factors of 946 are 2 x 11 x 43
Prime factors of 572 are 2 x 2 x 11 x 13
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
The highest common occurrence is 21
Therefore, GCD of 842, 946, 572, 120 is 2.
Given numbers are 842, 946, 572, 120
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(842, 946) = 398266
GCD(842, 946) = ( 842 x 946 ) / 398266
= 842 / 946
= 842
Step2:
LCM(2, 572) = 572
GCD(2, 572) = ( 2 x 572 ) / 572
= 2 / 572
= 2
Step3:
LCM(2, 120) = 120
GCD(2, 120) = ( 2 x 120 ) / 120
= 2 / 120
= 2
So, Greatest Common Divisor of 842, 946, 572, 120 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 842, 946, 572, 120
The greatest common divisor of numbers 842, 946, 572, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 842, 946, 572, 120 is 2.
1. What is the GCD of 842, 946, 572, 120?
GCD of given numbers 842, 946, 572, 120 is 2
2. How to calculate the greatest common divisor of 842, 946, 572, 120?
We can find the highest common divisor of 842, 946, 572, 120 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 842, 946, 572, 120 i.e 2.
3. How can I use the GCD of 842, 946, 572, 120Calculator?
Out the numbers 842, 946, 572, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.