Online GCD Calculator is useful to find the GCD of 782, 125, 672, 200 quickly. Get the easiest ways to solve the greatest common divisor of 782, 125, 672, 200 i.e 1 in different methods as follows.
Given Input numbers are 782, 125, 672, 200
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 125 :
The positive integer divisors of 125 that completely divides 125 are.
1, 5, 25, 125
Divisors of 672 :
The positive integer divisors of 672 that completely divides 672 are.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
Divisors of 200 :
The positive integer divisors of 200 that completely divides 200 are.
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
GCD of numbers is the greatest common divisor
So, the GCD (782, 125, 672, 200) = 1.
Given numbers are 782, 125, 672, 200
The list of prime factors of all numbers are
Prime factors of 782 are 2 x 17 x 23
Prime factors of 125 are 5 x 5 x 5
Prime factors of 672 are 2 x 2 x 2 x 2 x 2 x 3 x 7
Prime factors of 200 are 2 x 2 x 2 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 782, 125, 672, 200
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(782, 125) = 97750
GCD(782, 125) = ( 782 x 125 ) / 97750
= 782 / 125
= 782
Step2:
LCM(1, 672) = 672
GCD(1, 672) = ( 1 x 672 ) / 672
= 1 / 672
= 1
Step3:
LCM(1, 200) = 200
GCD(1, 200) = ( 1 x 200 ) / 200
= 1 / 200
= 1
So, Greatest Common Divisor of 782, 125, 672, 200 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 782, 125, 672, 200
The greatest common divisor of numbers 782, 125, 672, 200 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 782, 125, 672, 200 is 1.
1. What is the GCD of 782, 125, 672, 200?
GCD of given numbers 782, 125, 672, 200 is 1
2. How to calculate the greatest common divisor of 782, 125, 672, 200?
We can find the highest common divisor of 782, 125, 672, 200 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, 125, 672, 200 i.e 1.
3. How can I use the GCD of 782, 125, 672, 200Calculator?
Out the numbers 782, 125, 672, 200 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.