Online GCD Calculator is useful to find the GCD of 560, 780, 830, 962 quickly. Get the easiest ways to solve the greatest common divisor of 560, 780, 830, 962 i.e 2 in different methods as follows.
Given Input numbers are 560, 780, 830, 962
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 780 :
The positive integer divisors of 780 that completely divides 780 are.
1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
Divisors of 830 :
The positive integer divisors of 830 that completely divides 830 are.
1, 2, 5, 10, 83, 166, 415, 830
Divisors of 962 :
The positive integer divisors of 962 that completely divides 962 are.
1, 2, 13, 26, 37, 74, 481, 962
GCD of numbers is the greatest common divisor
So, the GCD (560, 780, 830, 962) = 2.
Given numbers are 560, 780, 830, 962
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 780 are 2 x 2 x 3 x 5 x 13
Prime factors of 830 are 2 x 5 x 83
Prime factors of 962 are 2 x 13 x 37
The highest common occurrence is 21
Therefore, GCD of 560, 780, 830, 962 is 2.
Given numbers are 560, 780, 830, 962
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(560, 780) = 21840
GCD(560, 780) = ( 560 x 780 ) / 21840
= 560 / 780
= 560
Step2:
LCM(20, 830) = 1660
GCD(20, 830) = ( 20 x 830 ) / 1660
= 20 / 830
= 20
Step3:
LCM(10, 962) = 4810
GCD(10, 962) = ( 10 x 962 ) / 4810
= 10 / 962
= 10
So, Greatest Common Divisor of 560, 780, 830, 962 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 560, 780, 830, 962
The greatest common divisor of numbers 560, 780, 830, 962 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 560, 780, 830, 962 is 2.
1. What is the GCD of 560, 780, 830, 962?
GCD of given numbers 560, 780, 830, 962 is 2
2. How to calculate the greatest common divisor of 560, 780, 830, 962?
We can find the highest common divisor of 560, 780, 830, 962 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, 780, 830, 962 i.e 2.
3. How can I use the GCD of 560, 780, 830, 962Calculator?
Out the numbers 560, 780, 830, 962 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.