Online GCD Calculator is useful to find the GCD of 686, 535, 749, 264 quickly. Get the easiest ways to solve the greatest common divisor of 686, 535, 749, 264 i.e 1 in different methods as follows.
Given Input numbers are 686, 535, 749, 264
In the factoring method, we have to find the divisors of all numbers
Divisors of 686 :
The positive integer divisors of 686 that completely divides 686 are.
1, 2, 7, 14, 49, 98, 343, 686
Divisors of 535 :
The positive integer divisors of 535 that completely divides 535 are.
1, 5, 107, 535
Divisors of 749 :
The positive integer divisors of 749 that completely divides 749 are.
1, 7, 107, 749
Divisors of 264 :
The positive integer divisors of 264 that completely divides 264 are.
1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
GCD of numbers is the greatest common divisor
So, the GCD (686, 535, 749, 264) = 1.
Given numbers are 686, 535, 749, 264
The list of prime factors of all numbers are
Prime factors of 686 are 2 x 7 x 7 x 7
Prime factors of 535 are 5 x 107
Prime factors of 749 are 7 x 107
Prime factors of 264 are 2 x 2 x 2 x 3 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 686, 535, 749, 264
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(686, 535) = 367010
GCD(686, 535) = ( 686 x 535 ) / 367010
= 686 / 535
= 686
Step2:
LCM(1, 749) = 749
GCD(1, 749) = ( 1 x 749 ) / 749
= 1 / 749
= 1
Step3:
LCM(1, 264) = 264
GCD(1, 264) = ( 1 x 264 ) / 264
= 1 / 264
= 1
So, Greatest Common Divisor of 686, 535, 749, 264 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 686, 535, 749, 264
The greatest common divisor of numbers 686, 535, 749, 264 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 686, 535, 749, 264 is 1.
1. What is the GCD of 686, 535, 749, 264?
GCD of given numbers 686, 535, 749, 264 is 1
2. How to calculate the greatest common divisor of 686, 535, 749, 264?
We can find the highest common divisor of 686, 535, 749, 264 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 686, 535, 749, 264 i.e 1.
3. How can I use the GCD of 686, 535, 749, 264Calculator?
Out the numbers 686, 535, 749, 264 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.