Online GCD Calculator is useful to find the GCD of 914, 280, 792, 842 quickly. Get the easiest ways to solve the greatest common divisor of 914, 280, 792, 842 i.e 2 in different methods as follows.
Given Input numbers are 914, 280, 792, 842
In the factoring method, we have to find the divisors of all numbers
Divisors of 914 :
The positive integer divisors of 914 that completely divides 914 are.
1, 2, 457, 914
Divisors of 280 :
The positive integer divisors of 280 that completely divides 280 are.
1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
Divisors of 792 :
The positive integer divisors of 792 that completely divides 792 are.
1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
Divisors of 842 :
The positive integer divisors of 842 that completely divides 842 are.
1, 2, 421, 842
GCD of numbers is the greatest common divisor
So, the GCD (914, 280, 792, 842) = 2.
Given numbers are 914, 280, 792, 842
The list of prime factors of all numbers are
Prime factors of 914 are 2 x 457
Prime factors of 280 are 2 x 2 x 2 x 5 x 7
Prime factors of 792 are 2 x 2 x 2 x 3 x 3 x 11
Prime factors of 842 are 2 x 421
The highest common occurrence is 21
Therefore, GCD of 914, 280, 792, 842 is 2.
Given numbers are 914, 280, 792, 842
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(914, 280) = 127960
GCD(914, 280) = ( 914 x 280 ) / 127960
= 914 / 280
= 914
Step2:
LCM(2, 792) = 792
GCD(2, 792) = ( 2 x 792 ) / 792
= 2 / 792
= 2
Step3:
LCM(2, 842) = 842
GCD(2, 842) = ( 2 x 842 ) / 842
= 2 / 842
= 2
So, Greatest Common Divisor of 914, 280, 792, 842 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 914, 280, 792, 842
The greatest common divisor of numbers 914, 280, 792, 842 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 914, 280, 792, 842 is 2.
1. What is the GCD of 914, 280, 792, 842?
GCD of given numbers 914, 280, 792, 842 is 2
2. How to calculate the greatest common divisor of 914, 280, 792, 842?
We can find the highest common divisor of 914, 280, 792, 842 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 914, 280, 792, 842 i.e 2.
3. How can I use the GCD of 914, 280, 792, 842Calculator?
Out the numbers 914, 280, 792, 842 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.