Online GCD Calculator is useful to find the GCD of 280, 840, 791 quickly. Get the easiest ways to solve the greatest common divisor of 280, 840, 791 i.e 7 in different methods as follows.
Given Input numbers are 280, 840, 791
In the factoring method, we have to find the divisors of all numbers
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 840 :
The positive integer divisors of 840 that completely divides 840 are.
1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
Divisors of 791 :
The positive integer divisors of 791 that completely divides 791 are.
1, 7, 113, 791
GCD of numbers is the greatest common divisor
So, the GCD (280, 840, 791) = 7.
Given numbers are 280, 840, 791
The list of prime factors of all numbers are
Prime factors of 280 are 2 x 2 x 2 x 5 x 7
Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7
Prime factors of 791 are 7 x 113
The highest common occurrence is 71
Therefore, GCD of 280, 840, 791 is 7.
Given numbers are 280, 840, 791
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(280, 840) = 840
GCD(280, 840) = ( 280 x 840 ) / 840
= 280 / 840
= 280
Step2:
LCM(280, 791) = 31640
GCD(280, 791) = ( 280 x 791 ) / 31640
= 280 / 791
= 280
So, Greatest Common Divisor of 280, 840, 791 is 7
Here are some samples of GCD of Numbers calculations.
Given numbers are 280, 840, 791
The greatest common divisor of numbers 280, 840, 791 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 280, 840, 791 is 7.
1. What is the GCD of 280, 840, 791?
GCD of given numbers 280, 840, 791 is 7
2. How to calculate the greatest common divisor of 280, 840, 791?
We can find the highest common divisor of 280, 840, 791 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 280, 840, 791 i.e 7.
3. How can I use the GCD of 280, 840, 791Calculator?
Out the numbers 280, 840, 791 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.