Online GCD Calculator is useful to find the GCD of 560, 259, 700, 357 quickly. Get the easiest ways to solve the greatest common divisor of 560, 259, 700, 357 i.e 7 in different methods as follows.
Given Input numbers are 560, 259, 700, 357
In the factoring method, we have to find the divisors of all numbers
Divisors of 560 :
The positive integer divisors of 560 that completely divides 560 are.
1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
Divisors of 259 :
The positive integer divisors of 259 that completely divides 259 are.
1, 7, 37, 259
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 357 :
The positive integer divisors of 357 that completely divides 357 are.
1, 3, 7, 17, 21, 51, 119, 357
GCD of numbers is the greatest common divisor
So, the GCD (560, 259, 700, 357) = 7.
Given numbers are 560, 259, 700, 357
The list of prime factors of all numbers are
Prime factors of 560 are 2 x 2 x 2 x 2 x 5 x 7
Prime factors of 259 are 7 x 37
Prime factors of 700 are 2 x 2 x 5 x 5 x 7
Prime factors of 357 are 3 x 7 x 17
The highest common occurrence is 71
Therefore, GCD of 560, 259, 700, 357 is 7.
Given numbers are 560, 259, 700, 357
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(560, 259) = 20720
GCD(560, 259) = ( 560 x 259 ) / 20720
= 560 / 259
= 560
Step2:
LCM(7, 700) = 700
GCD(7, 700) = ( 7 x 700 ) / 700
= 7 / 700
= 7
Step3:
LCM(7, 357) = 357
GCD(7, 357) = ( 7 x 357 ) / 357
= 7 / 357
= 7
So, Greatest Common Divisor of 560, 259, 700, 357 is 7
Here are some samples of GCD of Numbers calculations.
Given numbers are 560, 259, 700, 357
The greatest common divisor of numbers 560, 259, 700, 357 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 560, 259, 700, 357 is 7.
1. What is the GCD of 560, 259, 700, 357?
GCD of given numbers 560, 259, 700, 357 is 7
2. How to calculate the greatest common divisor of 560, 259, 700, 357?
We can find the highest common divisor of 560, 259, 700, 357 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 560, 259, 700, 357 i.e 7.
3. How can I use the GCD of 560, 259, 700, 357Calculator?
Out the numbers 560, 259, 700, 357 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.