Online GCD Calculator is useful to find the GCD of 651, 791, 749 quickly. Get the easiest ways to solve the greatest common divisor of 651, 791, 749 i.e 7 in different methods as follows.
Given Input numbers are 651, 791, 749
In the factoring method, we have to find the divisors of all numbers
Divisors of 651 :
The positive integer divisors of 651 that completely divides 651 are.
1, 3, 7, 21, 31, 93, 217, 651
Divisors of 791 :
The positive integer divisors of 791 that completely divides 791 are.
1, 7, 113, 791
Divisors of 749 :
The positive integer divisors of 749 that completely divides 749 are.
1, 7, 107, 749
GCD of numbers is the greatest common divisor
So, the GCD (651, 791, 749) = 7.
Given numbers are 651, 791, 749
The list of prime factors of all numbers are
Prime factors of 651 are 3 x 7 x 31
Prime factors of 791 are 7 x 113
Prime factors of 749 are 7 x 107
The highest common occurrence is 71
Therefore, GCD of 651, 791, 749 is 7.
Given numbers are 651, 791, 749
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(651, 791) = 73563
GCD(651, 791) = ( 651 x 791 ) / 73563
= 651 / 791
= 651
Step2:
LCM(7, 749) = 749
GCD(7, 749) = ( 7 x 749 ) / 749
= 7 / 749
= 7
So, Greatest Common Divisor of 651, 791, 749 is 7
Here are some samples of GCD of Numbers calculations.
Given numbers are 651, 791, 749
The greatest common divisor of numbers 651, 791, 749 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 651, 791, 749 is 7.
1. What is the GCD of 651, 791, 749?
GCD of given numbers 651, 791, 749 is 7
2. How to calculate the greatest common divisor of 651, 791, 749?
We can find the highest common divisor of 651, 791, 749 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 651, 791, 749 i.e 7.
3. How can I use the GCD of 651, 791, 749Calculator?
Out the numbers 651, 791, 749 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.