Online GCD Calculator is useful to find the GCD of 646, 742, 140, 658 quickly. Get the easiest ways to solve the greatest common divisor of 646, 742, 140, 658 i.e 2 in different methods as follows.
Given Input numbers are 646, 742, 140, 658
In the factoring method, we have to find the divisors of all numbers
Divisors of 646 :
The positive integer divisors of 646 that completely divides 646 are.
1, 2, 17, 19, 34, 38, 323, 646
Divisors of 742 :
The positive integer divisors of 742 that completely divides 742 are.
1, 2, 7, 14, 53, 106, 371, 742
Divisors of 140 :
The positive integer divisors of 140 that completely divides 140 are.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
Divisors of 658 :
The positive integer divisors of 658 that completely divides 658 are.
1, 2, 7, 14, 47, 94, 329, 658
GCD of numbers is the greatest common divisor
So, the GCD (646, 742, 140, 658) = 2.
Given numbers are 646, 742, 140, 658
The list of prime factors of all numbers are
Prime factors of 646 are 2 x 17 x 19
Prime factors of 742 are 2 x 7 x 53
Prime factors of 140 are 2 x 2 x 5 x 7
Prime factors of 658 are 2 x 7 x 47
The highest common occurrence is 21
Therefore, GCD of 646, 742, 140, 658 is 2.
Given numbers are 646, 742, 140, 658
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(646, 742) = 239666
GCD(646, 742) = ( 646 x 742 ) / 239666
= 646 / 742
= 646
Step2:
LCM(2, 140) = 140
GCD(2, 140) = ( 2 x 140 ) / 140
= 2 / 140
= 2
Step3:
LCM(2, 658) = 658
GCD(2, 658) = ( 2 x 658 ) / 658
= 2 / 658
= 2
So, Greatest Common Divisor of 646, 742, 140, 658 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 646, 742, 140, 658
The greatest common divisor of numbers 646, 742, 140, 658 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 646, 742, 140, 658 is 2.
1. What is the GCD of 646, 742, 140, 658?
GCD of given numbers 646, 742, 140, 658 is 2
2. How to calculate the greatest common divisor of 646, 742, 140, 658?
We can find the highest common divisor of 646, 742, 140, 658 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 646, 742, 140, 658 i.e 2.
3. How can I use the GCD of 646, 742, 140, 658Calculator?
Out the numbers 646, 742, 140, 658 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.