Online GCD Calculator is useful to find the GCD of 784, 775, 707, 538 quickly. Get the easiest ways to solve the greatest common divisor of 784, 775, 707, 538 i.e 1 in different methods as follows.
Given Input numbers are 784, 775, 707, 538
In the factoring method, we have to find the divisors of all numbers
Divisors of 784 :
The positive integer divisors of 784 that completely divides 784 are.
1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
Divisors of 775 :
The positive integer divisors of 775 that completely divides 775 are.
1, 5, 25, 31, 155, 775
Divisors of 707 :
The positive integer divisors of 707 that completely divides 707 are.
1, 7, 101, 707
Divisors of 538 :
The positive integer divisors of 538 that completely divides 538 are.
1, 2, 269, 538
GCD of numbers is the greatest common divisor
So, the GCD (784, 775, 707, 538) = 1.
Given numbers are 784, 775, 707, 538
The list of prime factors of all numbers are
Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7
Prime factors of 775 are 5 x 5 x 31
Prime factors of 707 are 7 x 101
Prime factors of 538 are 2 x 269
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 784, 775, 707, 538
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(784, 775) = 607600
GCD(784, 775) = ( 784 x 775 ) / 607600
= 784 / 775
= 784
Step2:
LCM(1, 707) = 707
GCD(1, 707) = ( 1 x 707 ) / 707
= 1 / 707
= 1
Step3:
LCM(1, 538) = 538
GCD(1, 538) = ( 1 x 538 ) / 538
= 1 / 538
= 1
So, Greatest Common Divisor of 784, 775, 707, 538 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 784, 775, 707, 538
The greatest common divisor of numbers 784, 775, 707, 538 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 784, 775, 707, 538 is 1.
1. What is the GCD of 784, 775, 707, 538?
GCD of given numbers 784, 775, 707, 538 is 1
2. How to calculate the greatest common divisor of 784, 775, 707, 538?
We can find the highest common divisor of 784, 775, 707, 538 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 784, 775, 707, 538 i.e 1.
3. How can I use the GCD of 784, 775, 707, 538Calculator?
Out the numbers 784, 775, 707, 538 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.