Online GCD Calculator is useful to find the GCD of 770, 959, 560 quickly. Get the easiest ways to solve the greatest common divisor of 770, 959, 560 i.e 7 in different methods as follows.
Given Input numbers are 770, 959, 560
In the factoring method, we have to find the divisors of all numbers
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 959 :
The positive integer divisors of 959 that completely divides 959 are.
1, 7, 137, 959
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 (770, 959, 560) = 7.
Given numbers are 770, 959, 560
The list of prime factors of all numbers are
Prime factors of 770 are 2 x 5 x 7 x 11
Prime factors of 959 are 7 x 137
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 770, 959, 560 is 7.
Given numbers are 770, 959, 560
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(770, 959) = 105490
GCD(770, 959) = ( 770 x 959 ) / 105490
= 770 / 959
= 770
Step2:
LCM(7, 560) = 560
GCD(7, 560) = ( 7 x 560 ) / 560
= 7 / 560
= 7
So, Greatest Common Divisor of 770, 959, 560 is 7
Here are some samples of GCD of Numbers calculations.
Given numbers are 770, 959, 560
The greatest common divisor of numbers 770, 959, 560 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 770, 959, 560 is 7.
1. What is the GCD of 770, 959, 560?
GCD of given numbers 770, 959, 560 is 7
2. How to calculate the greatest common divisor of 770, 959, 560?
We can find the highest common divisor of 770, 959, 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 770, 959, 560 i.e 7.
3. How can I use the GCD of 770, 959, 560Calculator?
Out the numbers 770, 959, 560 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.