Online GCD Calculator is useful to find the GCD of 196, 360, 565, 702 quickly. Get the easiest ways to solve the greatest common divisor of 196, 360, 565, 702 i.e 1 in different methods as follows.
Given Input numbers are 196, 360, 565, 702
In the factoring method, we have to find the divisors of all numbers
Divisors of 196 :
The positive integer divisors of 196 that completely divides 196 are.
1, 2, 4, 7, 14, 28, 49, 98, 196
Divisors of 360 :
The positive integer divisors of 360 that completely divides 360 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Divisors of 565 :
The positive integer divisors of 565 that completely divides 565 are.
1, 5, 113, 565
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 (196, 360, 565, 702) = 1.
Given numbers are 196, 360, 565, 702
The list of prime factors of all numbers are
Prime factors of 196 are 2 x 2 x 7 x 7
Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 565 are 5 x 113
Prime factors of 702 are 2 x 3 x 3 x 3 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 196, 360, 565, 702
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(196, 360) = 17640
GCD(196, 360) = ( 196 x 360 ) / 17640
= 196 / 360
= 196
Step2:
LCM(4, 565) = 2260
GCD(4, 565) = ( 4 x 565 ) / 2260
= 4 / 565
= 4
Step3:
LCM(1, 702) = 702
GCD(1, 702) = ( 1 x 702 ) / 702
= 1 / 702
= 1
So, Greatest Common Divisor of 196, 360, 565, 702 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 196, 360, 565, 702
The greatest common divisor of numbers 196, 360, 565, 702 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 196, 360, 565, 702 is 1.
1. What is the GCD of 196, 360, 565, 702?
GCD of given numbers 196, 360, 565, 702 is 1
2. How to calculate the greatest common divisor of 196, 360, 565, 702?
We can find the highest common divisor of 196, 360, 565, 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 196, 360, 565, 702 i.e 1.
3. How can I use the GCD of 196, 360, 565, 702Calculator?
Out the numbers 196, 360, 565, 702 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.