Online GCD Calculator is useful to find the GCD of 931, 707, 784, 189 quickly. Get the easiest ways to solve the greatest common divisor of 931, 707, 784, 189 i.e 7 in different methods as follows.
Given Input numbers are 931, 707, 784, 189
In the factoring method, we have to find the divisors of all numbers
Divisors of 931 :
The positive integer divisors of 931 that completely divides 931 are.
1, 7, 19, 49, 133, 931
Divisors of 707 :
The positive integer divisors of 707 that completely divides 707 are.
1, 7, 101, 707
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 189 :
The positive integer divisors of 189 that completely divides 189 are.
1, 3, 7, 9, 21, 27, 63, 189
GCD of numbers is the greatest common divisor
So, the GCD (931, 707, 784, 189) = 7.
Given numbers are 931, 707, 784, 189
The list of prime factors of all numbers are
Prime factors of 931 are 7 x 7 x 19
Prime factors of 707 are 7 x 101
Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7
Prime factors of 189 are 3 x 3 x 3 x 7
The highest common occurrence is 71
Therefore, GCD of 931, 707, 784, 189 is 7.
Given numbers are 931, 707, 784, 189
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(931, 707) = 94031
GCD(931, 707) = ( 931 x 707 ) / 94031
= 931 / 707
= 931
Step2:
LCM(7, 784) = 784
GCD(7, 784) = ( 7 x 784 ) / 784
= 7 / 784
= 7
Step3:
LCM(7, 189) = 189
GCD(7, 189) = ( 7 x 189 ) / 189
= 7 / 189
= 7
So, Greatest Common Divisor of 931, 707, 784, 189 is 7
Here are some samples of GCD of Numbers calculations.
Given numbers are 931, 707, 784, 189
The greatest common divisor of numbers 931, 707, 784, 189 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 931, 707, 784, 189 is 7.
1. What is the GCD of 931, 707, 784, 189?
GCD of given numbers 931, 707, 784, 189 is 7
2. How to calculate the greatest common divisor of 931, 707, 784, 189?
We can find the highest common divisor of 931, 707, 784, 189 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 931, 707, 784, 189 i.e 7.
3. How can I use the GCD of 931, 707, 784, 189Calculator?
Out the numbers 931, 707, 784, 189 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.