Online GCD Calculator is useful to find the GCD of 658, 245, 133, 532 quickly. Get the easiest ways to solve the greatest common divisor of 658, 245, 133, 532 i.e 7 in different methods as follows.
Given Input numbers are 658, 245, 133, 532
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 245 :
The positive integer divisors of 245 that completely divides 245 are.
1, 5, 7, 35, 49, 245
Divisors of 133 :
The positive integer divisors of 133 that completely divides 133 are.
1, 7, 19, 133
Divisors of 532 :
The positive integer divisors of 532 that completely divides 532 are.
1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
GCD of numbers is the greatest common divisor
So, the GCD (658, 245, 133, 532) = 7.
Given numbers are 658, 245, 133, 532
The list of prime factors of all numbers are
Prime factors of 658 are 2 x 7 x 47
Prime factors of 245 are 5 x 7 x 7
Prime factors of 133 are 7 x 19
Prime factors of 532 are 2 x 2 x 7 x 19
The highest common occurrence is 71
Therefore, GCD of 658, 245, 133, 532 is 7.
Given numbers are 658, 245, 133, 532
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(658, 245) = 23030
GCD(658, 245) = ( 658 x 245 ) / 23030
= 658 / 245
= 658
Step2:
LCM(7, 133) = 133
GCD(7, 133) = ( 7 x 133 ) / 133
= 7 / 133
= 7
Step3:
LCM(7, 532) = 532
GCD(7, 532) = ( 7 x 532 ) / 532
= 7 / 532
= 7
So, Greatest Common Divisor of 658, 245, 133, 532 is 7
Here are some samples of GCD of Numbers calculations.
Given numbers are 658, 245, 133, 532
The greatest common divisor of numbers 658, 245, 133, 532 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 658, 245, 133, 532 is 7.
1. What is the GCD of 658, 245, 133, 532?
GCD of given numbers 658, 245, 133, 532 is 7
2. How to calculate the greatest common divisor of 658, 245, 133, 532?
We can find the highest common divisor of 658, 245, 133, 532 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, 245, 133, 532 i.e 7.
3. How can I use the GCD of 658, 245, 133, 532Calculator?
Out the numbers 658, 245, 133, 532 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.