Online GCD Calculator is useful to find the GCD of 840, 634, 726, 772 quickly. Get the easiest ways to solve the greatest common divisor of 840, 634, 726, 772 i.e 2 in different methods as follows.
Given Input numbers are 840, 634, 726, 772
In the factoring method, we have to find the divisors of all numbers
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 634 :
The positive integer divisors of 634 that completely divides 634 are.
1, 2, 317, 634
Divisors of 726 :
The positive integer divisors of 726 that completely divides 726 are.
1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
Divisors of 772 :
The positive integer divisors of 772 that completely divides 772 are.
1, 2, 4, 193, 386, 772
GCD of numbers is the greatest common divisor
So, the GCD (840, 634, 726, 772) = 2.
Given numbers are 840, 634, 726, 772
The list of prime factors of all numbers are
Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7
Prime factors of 634 are 2 x 317
Prime factors of 726 are 2 x 3 x 11 x 11
Prime factors of 772 are 2 x 2 x 193
The highest common occurrence is 21
Therefore, GCD of 840, 634, 726, 772 is 2.
Given numbers are 840, 634, 726, 772
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(840, 634) = 266280
GCD(840, 634) = ( 840 x 634 ) / 266280
= 840 / 634
= 840
Step2:
LCM(2, 726) = 726
GCD(2, 726) = ( 2 x 726 ) / 726
= 2 / 726
= 2
Step3:
LCM(2, 772) = 772
GCD(2, 772) = ( 2 x 772 ) / 772
= 2 / 772
= 2
So, Greatest Common Divisor of 840, 634, 726, 772 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 840, 634, 726, 772
The greatest common divisor of numbers 840, 634, 726, 772 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 840, 634, 726, 772 is 2.
1. What is the GCD of 840, 634, 726, 772?
GCD of given numbers 840, 634, 726, 772 is 2
2. How to calculate the greatest common divisor of 840, 634, 726, 772?
We can find the highest common divisor of 840, 634, 726, 772 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 840, 634, 726, 772 i.e 2.
3. How can I use the GCD of 840, 634, 726, 772Calculator?
Out the numbers 840, 634, 726, 772 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.