Online GCD Calculator is useful to find the GCD of 977, 225, 824, 784 quickly. Get the easiest ways to solve the greatest common divisor of 977, 225, 824, 784 i.e 1 in different methods as follows.
Given Input numbers are 977, 225, 824, 784
In the factoring method, we have to find the divisors of all numbers
Divisors of 977 :
The positive integer divisors of 977 that completely divides 977 are.
1, 977
Divisors of 225 :
The positive integer divisors of 225 that completely divides 225 are.
1, 3, 5, 9, 15, 25, 45, 75, 225
Divisors of 824 :
The positive integer divisors of 824 that completely divides 824 are.
1, 2, 4, 8, 103, 206, 412, 824
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
GCD of numbers is the greatest common divisor
So, the GCD (977, 225, 824, 784) = 1.
Given numbers are 977, 225, 824, 784
The list of prime factors of all numbers are
Prime factors of 977 are 977
Prime factors of 225 are 3 x 3 x 5 x 5
Prime factors of 824 are 2 x 2 x 2 x 103
Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 977, 225, 824, 784
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(977, 225) = 219825
GCD(977, 225) = ( 977 x 225 ) / 219825
= 977 / 225
= 977
Step2:
LCM(1, 824) = 824
GCD(1, 824) = ( 1 x 824 ) / 824
= 1 / 824
= 1
Step3:
LCM(1, 784) = 784
GCD(1, 784) = ( 1 x 784 ) / 784
= 1 / 784
= 1
So, Greatest Common Divisor of 977, 225, 824, 784 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 977, 225, 824, 784
The greatest common divisor of numbers 977, 225, 824, 784 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 977, 225, 824, 784 is 1.
1. What is the GCD of 977, 225, 824, 784?
GCD of given numbers 977, 225, 824, 784 is 1
2. How to calculate the greatest common divisor of 977, 225, 824, 784?
We can find the highest common divisor of 977, 225, 824, 784 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 977, 225, 824, 784 i.e 1.
3. How can I use the GCD of 977, 225, 824, 784Calculator?
Out the numbers 977, 225, 824, 784 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.