Online GCD Calculator is useful to find the GCD of 567, 770, 560 quickly. Get the easiest ways to solve the greatest common divisor of 567, 770, 560 i.e 7 in different methods as follows.
Given Input numbers are 567, 770, 560
In the factoring method, we have to find the divisors of all numbers
Divisors of 567 :
The positive integer divisors of 567 that completely divides 567 are.
1, 3, 7, 9, 21, 27, 63, 81, 189, 567
Divisors of 770 :
The positive integer divisors of 770 that completely divides 770 are.
1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
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
GCD of numbers is the greatest common divisor
So, the GCD (567, 770, 560) = 7.
Given numbers are 567, 770, 560
The list of prime factors of all numbers are
Prime factors of 567 are 3 x 3 x 3 x 3 x 7
Prime factors of 770 are 2 x 5 x 7 x 11
Prime factors of 560 are 2 x 2 x 2 x 2 x 5 x 7
The highest common occurrence is 71
Therefore, GCD of 567, 770, 560 is 7.
Given numbers are 567, 770, 560
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(567, 770) = 62370
GCD(567, 770) = ( 567 x 770 ) / 62370
= 567 / 770
= 567
Step2:
LCM(7, 560) = 560
GCD(7, 560) = ( 7 x 560 ) / 560
= 7 / 560
= 7
So, Greatest Common Divisor of 567, 770, 560 is 7
Here are some samples of GCD of Numbers calculations.
Given numbers are 567, 770, 560
The greatest common divisor of numbers 567, 770, 560 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 567, 770, 560 is 7.
1. What is the GCD of 567, 770, 560?
GCD of given numbers 567, 770, 560 is 7
2. How to calculate the greatest common divisor of 567, 770, 560?
We can find the highest common divisor of 567, 770, 560 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 567, 770, 560 i.e 7.
3. How can I use the GCD of 567, 770, 560Calculator?
Out the numbers 567, 770, 560 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.