Online GCD Calculator is useful to find the GCD of 725, 700, 508, 196 quickly. Get the easiest ways to solve the greatest common divisor of 725, 700, 508, 196 i.e 1 in different methods as follows.
Given Input numbers are 725, 700, 508, 196
In the factoring method, we have to find the divisors of all numbers
Divisors of 725 :
The positive integer divisors of 725 that completely divides 725 are.
1, 5, 25, 29, 145, 725
Divisors of 700 :
The positive integer divisors of 700 that completely divides 700 are.
1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
Divisors of 508 :
The positive integer divisors of 508 that completely divides 508 are.
1, 2, 4, 127, 254, 508
Divisors of 196 :
The positive integer divisors of 196 that completely divides 196 are.
1, 2, 4, 7, 14, 28, 49, 98, 196
GCD of numbers is the greatest common divisor
So, the GCD (725, 700, 508, 196) = 1.
Given numbers are 725, 700, 508, 196
The list of prime factors of all numbers are
Prime factors of 725 are 5 x 5 x 29
Prime factors of 700 are 2 x 2 x 5 x 5 x 7
Prime factors of 508 are 2 x 2 x 127
Prime factors of 196 are 2 x 2 x 7 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 725, 700, 508, 196
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(725, 700) = 20300
GCD(725, 700) = ( 725 x 700 ) / 20300
= 725 / 700
= 725
Step2:
LCM(25, 508) = 12700
GCD(25, 508) = ( 25 x 508 ) / 12700
= 25 / 508
= 25
Step3:
LCM(1, 196) = 196
GCD(1, 196) = ( 1 x 196 ) / 196
= 1 / 196
= 1
So, Greatest Common Divisor of 725, 700, 508, 196 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 725, 700, 508, 196
The greatest common divisor of numbers 725, 700, 508, 196 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 725, 700, 508, 196 is 1.
1. What is the GCD of 725, 700, 508, 196?
GCD of given numbers 725, 700, 508, 196 is 1
2. How to calculate the greatest common divisor of 725, 700, 508, 196?
We can find the highest common divisor of 725, 700, 508, 196 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 725, 700, 508, 196 i.e 1.
3. How can I use the GCD of 725, 700, 508, 196Calculator?
Out the numbers 725, 700, 508, 196 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.