Online GCD Calculator is useful to find the GCD of 700, 714, 159, 752 quickly. Get the easiest ways to solve the greatest common divisor of 700, 714, 159, 752 i.e 1 in different methods as follows.
Given Input numbers are 700, 714, 159, 752
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 714 :
The positive integer divisors of 714 that completely divides 714 are.
1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
Divisors of 159 :
The positive integer divisors of 159 that completely divides 159 are.
1, 3, 53, 159
Divisors of 752 :
The positive integer divisors of 752 that completely divides 752 are.
1, 2, 4, 8, 16, 47, 94, 188, 376, 752
GCD of numbers is the greatest common divisor
So, the GCD (700, 714, 159, 752) = 1.
Given numbers are 700, 714, 159, 752
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 714 are 2 x 3 x 7 x 17
Prime factors of 159 are 3 x 53
Prime factors of 752 are 2 x 2 x 2 x 2 x 47
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 700, 714, 159, 752
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(700, 714) = 35700
GCD(700, 714) = ( 700 x 714 ) / 35700
= 700 / 714
= 700
Step2:
LCM(14, 159) = 2226
GCD(14, 159) = ( 14 x 159 ) / 2226
= 14 / 159
= 14
Step3:
LCM(1, 752) = 752
GCD(1, 752) = ( 1 x 752 ) / 752
= 1 / 752
= 1
So, Greatest Common Divisor of 700, 714, 159, 752 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 700, 714, 159, 752
The greatest common divisor of numbers 700, 714, 159, 752 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 700, 714, 159, 752 is 1.
1. What is the GCD of 700, 714, 159, 752?
GCD of given numbers 700, 714, 159, 752 is 1
2. How to calculate the greatest common divisor of 700, 714, 159, 752?
We can find the highest common divisor of 700, 714, 159, 752 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, 714, 159, 752 i.e 1.
3. How can I use the GCD of 700, 714, 159, 752Calculator?
Out the numbers 700, 714, 159, 752 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.