Online GCD Calculator is useful to find the GCD of 782, 210, 142, 480 quickly. Get the easiest ways to solve the greatest common divisor of 782, 210, 142, 480 i.e 2 in different methods as follows.
Given Input numbers are 782, 210, 142, 480
In the factoring method, we have to find the divisors of all numbers
Divisors of 782 :
The positive integer divisors of 782 that completely divides 782 are.
1, 2, 17, 23, 34, 46, 391, 782
Divisors of 210 :
The positive integer divisors of 210 that completely divides 210 are.
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
Divisors of 142 :
The positive integer divisors of 142 that completely divides 142 are.
1, 2, 71, 142
Divisors of 480 :
The positive integer divisors of 480 that completely divides 480 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
GCD of numbers is the greatest common divisor
So, the GCD (782, 210, 142, 480) = 2.
Given numbers are 782, 210, 142, 480
The list of prime factors of all numbers are
Prime factors of 782 are 2 x 17 x 23
Prime factors of 210 are 2 x 3 x 5 x 7
Prime factors of 142 are 2 x 71
Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5
The highest common occurrence is 21
Therefore, GCD of 782, 210, 142, 480 is 2.
Given numbers are 782, 210, 142, 480
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(782, 210) = 82110
GCD(782, 210) = ( 782 x 210 ) / 82110
= 782 / 210
= 782
Step2:
LCM(2, 142) = 142
GCD(2, 142) = ( 2 x 142 ) / 142
= 2 / 142
= 2
Step3:
LCM(2, 480) = 480
GCD(2, 480) = ( 2 x 480 ) / 480
= 2 / 480
= 2
So, Greatest Common Divisor of 782, 210, 142, 480 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 782, 210, 142, 480
The greatest common divisor of numbers 782, 210, 142, 480 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 782, 210, 142, 480 is 2.
1. What is the GCD of 782, 210, 142, 480?
GCD of given numbers 782, 210, 142, 480 is 2
2. How to calculate the greatest common divisor of 782, 210, 142, 480?
We can find the highest common divisor of 782, 210, 142, 480 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 782, 210, 142, 480 i.e 2.
3. How can I use the GCD of 782, 210, 142, 480Calculator?
Out the numbers 782, 210, 142, 480 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.