Online GCD Calculator is useful to find the GCD of 195, 377, 520, 702 quickly. Get the easiest ways to solve the greatest common divisor of 195, 377, 520, 702 i.e 13 in different methods as follows.
Given Input numbers are 195, 377, 520, 702
In the factoring method, we have to find the divisors of all numbers
Divisors of 195 :
The positive integer divisors of 195 that completely divides 195 are.
1, 3, 5, 13, 15, 39, 65, 195
Divisors of 377 :
The positive integer divisors of 377 that completely divides 377 are.
1, 13, 29, 377
Divisors of 520 :
The positive integer divisors of 520 that completely divides 520 are.
1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
Divisors of 702 :
The positive integer divisors of 702 that completely divides 702 are.
1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
GCD of numbers is the greatest common divisor
So, the GCD (195, 377, 520, 702) = 13.
Given numbers are 195, 377, 520, 702
The list of prime factors of all numbers are
Prime factors of 195 are 3 x 5 x 13
Prime factors of 377 are 13 x 29
Prime factors of 520 are 2 x 2 x 2 x 5 x 13
Prime factors of 702 are 2 x 3 x 3 x 3 x 13
The highest common occurrence is 131
Therefore, GCD of 195, 377, 520, 702 is 13.
Given numbers are 195, 377, 520, 702
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(195, 377) = 5655
GCD(195, 377) = ( 195 x 377 ) / 5655
= 195 / 377
= 195
Step2:
LCM(13, 520) = 520
GCD(13, 520) = ( 13 x 520 ) / 520
= 13 / 520
= 13
Step3:
LCM(13, 702) = 702
GCD(13, 702) = ( 13 x 702 ) / 702
= 13 / 702
= 13
So, Greatest Common Divisor of 195, 377, 520, 702 is 13
Here are some samples of GCD of Numbers calculations.
Given numbers are 195, 377, 520, 702
The greatest common divisor of numbers 195, 377, 520, 702 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 195, 377, 520, 702 is 13.
1. What is the GCD of 195, 377, 520, 702?
GCD of given numbers 195, 377, 520, 702 is 13
2. How to calculate the greatest common divisor of 195, 377, 520, 702?
We can find the highest common divisor of 195, 377, 520, 702 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 195, 377, 520, 702 i.e 13.
3. How can I use the GCD of 195, 377, 520, 702Calculator?
Out the numbers 195, 377, 520, 702 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.