Online GCD Calculator is useful to find the GCD of 658, 648, 334, 340 quickly. Get the easiest ways to solve the greatest common divisor of 658, 648, 334, 340 i.e 2 in different methods as follows.
Given Input numbers are 658, 648, 334, 340
In the factoring method, we have to find the divisors of all numbers
Divisors of 658 :
The positive integer divisors of 658 that completely divides 658 are.
1, 2, 7, 14, 47, 94, 329, 658
Divisors of 648 :
The positive integer divisors of 648 that completely divides 648 are.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
Divisors of 334 :
The positive integer divisors of 334 that completely divides 334 are.
1, 2, 167, 334
Divisors of 340 :
The positive integer divisors of 340 that completely divides 340 are.
1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
GCD of numbers is the greatest common divisor
So, the GCD (658, 648, 334, 340) = 2.
Given numbers are 658, 648, 334, 340
The list of prime factors of all numbers are
Prime factors of 658 are 2 x 7 x 47
Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3
Prime factors of 334 are 2 x 167
Prime factors of 340 are 2 x 2 x 5 x 17
The highest common occurrence is 21
Therefore, GCD of 658, 648, 334, 340 is 2.
Given numbers are 658, 648, 334, 340
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(658, 648) = 213192
GCD(658, 648) = ( 658 x 648 ) / 213192
= 658 / 648
= 658
Step2:
LCM(2, 334) = 334
GCD(2, 334) = ( 2 x 334 ) / 334
= 2 / 334
= 2
Step3:
LCM(2, 340) = 340
GCD(2, 340) = ( 2 x 340 ) / 340
= 2 / 340
= 2
So, Greatest Common Divisor of 658, 648, 334, 340 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 658, 648, 334, 340
The greatest common divisor of numbers 658, 648, 334, 340 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 658, 648, 334, 340 is 2.
1. What is the GCD of 658, 648, 334, 340?
GCD of given numbers 658, 648, 334, 340 is 2
2. How to calculate the greatest common divisor of 658, 648, 334, 340?
We can find the highest common divisor of 658, 648, 334, 340 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 658, 648, 334, 340 i.e 2.
3. How can I use the GCD of 658, 648, 334, 340Calculator?
Out the numbers 658, 648, 334, 340 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.