Online GCD Calculator is useful to find the GCD of 700, 318, 725, 268 quickly. Get the easiest ways to solve the greatest common divisor of 700, 318, 725, 268 i.e 1 in different methods as follows.
Given Input numbers are 700, 318, 725, 268
In the factoring method, we have to find the divisors of all numbers
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 318 :
The positive integer divisors of 318 that completely divides 318 are.
1, 2, 3, 6, 53, 106, 159, 318
Divisors of 725 :
The positive integer divisors of 725 that completely divides 725 are.
1, 5, 25, 29, 145, 725
Divisors of 268 :
The positive integer divisors of 268 that completely divides 268 are.
1, 2, 4, 67, 134, 268
GCD of numbers is the greatest common divisor
So, the GCD (700, 318, 725, 268) = 1.
Given numbers are 700, 318, 725, 268
The list of prime factors of all numbers are
Prime factors of 700 are 2 x 2 x 5 x 5 x 7
Prime factors of 318 are 2 x 3 x 53
Prime factors of 725 are 5 x 5 x 29
Prime factors of 268 are 2 x 2 x 67
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 700, 318, 725, 268
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(700, 318) = 111300
GCD(700, 318) = ( 700 x 318 ) / 111300
= 700 / 318
= 700
Step2:
LCM(2, 725) = 1450
GCD(2, 725) = ( 2 x 725 ) / 1450
= 2 / 725
= 2
Step3:
LCM(1, 268) = 268
GCD(1, 268) = ( 1 x 268 ) / 268
= 1 / 268
= 1
So, Greatest Common Divisor of 700, 318, 725, 268 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 700, 318, 725, 268
The greatest common divisor of numbers 700, 318, 725, 268 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 700, 318, 725, 268 is 1.
1. What is the GCD of 700, 318, 725, 268?
GCD of given numbers 700, 318, 725, 268 is 1
2. How to calculate the greatest common divisor of 700, 318, 725, 268?
We can find the highest common divisor of 700, 318, 725, 268 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 700, 318, 725, 268 i.e 1.
3. How can I use the GCD of 700, 318, 725, 268Calculator?
Out the numbers 700, 318, 725, 268 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.