Online GCD Calculator is useful to find the GCD of 140, 320, 829, 782 quickly. Get the easiest ways to solve the greatest common divisor of 140, 320, 829, 782 i.e 1 in different methods as follows.
Given Input numbers are 140, 320, 829, 782
In the factoring method, we have to find the divisors of all numbers
Divisors of 140 :
The positive integer divisors of 140 that completely divides 140 are.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
Divisors of 320 :
The positive integer divisors of 320 that completely divides 320 are.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
Divisors of 829 :
The positive integer divisors of 829 that completely divides 829 are.
1, 829
Divisors of 782 :
The positive integer divisors of 782 that completely divides 782 are.
1, 2, 17, 23, 34, 46, 391, 782
GCD of numbers is the greatest common divisor
So, the GCD (140, 320, 829, 782) = 1.
Given numbers are 140, 320, 829, 782
The list of prime factors of all numbers are
Prime factors of 140 are 2 x 2 x 5 x 7
Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5
Prime factors of 829 are 829
Prime factors of 782 are 2 x 17 x 23
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 140, 320, 829, 782
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(140, 320) = 2240
GCD(140, 320) = ( 140 x 320 ) / 2240
= 140 / 320
= 140
Step2:
LCM(20, 829) = 16580
GCD(20, 829) = ( 20 x 829 ) / 16580
= 20 / 829
= 20
Step3:
LCM(1, 782) = 782
GCD(1, 782) = ( 1 x 782 ) / 782
= 1 / 782
= 1
So, Greatest Common Divisor of 140, 320, 829, 782 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 140, 320, 829, 782
The greatest common divisor of numbers 140, 320, 829, 782 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 140, 320, 829, 782 is 1.
1. What is the GCD of 140, 320, 829, 782?
GCD of given numbers 140, 320, 829, 782 is 1
2. How to calculate the greatest common divisor of 140, 320, 829, 782?
We can find the highest common divisor of 140, 320, 829, 782 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 140, 320, 829, 782 i.e 1.
3. How can I use the GCD of 140, 320, 829, 782Calculator?
Out the numbers 140, 320, 829, 782 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.