Online GCD Calculator is useful to find the GCD of 842, 420, 706, 967 quickly. Get the easiest ways to solve the greatest common divisor of 842, 420, 706, 967 i.e 1 in different methods as follows.
Given Input numbers are 842, 420, 706, 967
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 420 :
The positive integer divisors of 420 that completely divides 420 are.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
Divisors of 706 :
The positive integer divisors of 706 that completely divides 706 are.
1, 2, 353, 706
Divisors of 967 :
The positive integer divisors of 967 that completely divides 967 are.
1, 967
GCD of numbers is the greatest common divisor
So, the GCD (842, 420, 706, 967) = 1.
Given numbers are 842, 420, 706, 967
The list of prime factors of all numbers are
Prime factors of 842 are 2 x 421
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 706 are 2 x 353
Prime factors of 967 are 967
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 842, 420, 706, 967
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(842, 420) = 176820
GCD(842, 420) = ( 842 x 420 ) / 176820
= 842 / 420
= 842
Step2:
LCM(2, 706) = 706
GCD(2, 706) = ( 2 x 706 ) / 706
= 2 / 706
= 2
Step3:
LCM(2, 967) = 1934
GCD(2, 967) = ( 2 x 967 ) / 1934
= 2 / 967
= 2
So, Greatest Common Divisor of 842, 420, 706, 967 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 842, 420, 706, 967
The greatest common divisor of numbers 842, 420, 706, 967 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 842, 420, 706, 967 is 1.
1. What is the GCD of 842, 420, 706, 967?
GCD of given numbers 842, 420, 706, 967 is 1
2. How to calculate the greatest common divisor of 842, 420, 706, 967?
We can find the highest common divisor of 842, 420, 706, 967 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, 420, 706, 967 i.e 1.
3. How can I use the GCD of 842, 420, 706, 967Calculator?
Out the numbers 842, 420, 706, 967 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.