Online GCD Calculator is useful to find the GCD of 502, 448, 977, 112 quickly. Get the easiest ways to solve the greatest common divisor of 502, 448, 977, 112 i.e 1 in different methods as follows.
Given Input numbers are 502, 448, 977, 112
In the factoring method, we have to find the divisors of all numbers
Divisors of 502 :
The positive integer divisors of 502 that completely divides 502 are.
1, 2, 251, 502
Divisors of 448 :
The positive integer divisors of 448 that completely divides 448 are.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
Divisors of 977 :
The positive integer divisors of 977 that completely divides 977 are.
1, 977
Divisors of 112 :
The positive integer divisors of 112 that completely divides 112 are.
1, 2, 4, 7, 8, 14, 16, 28, 56, 112
GCD of numbers is the greatest common divisor
So, the GCD (502, 448, 977, 112) = 1.
Given numbers are 502, 448, 977, 112
The list of prime factors of all numbers are
Prime factors of 502 are 2 x 251
Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7
Prime factors of 977 are 977
Prime factors of 112 are 2 x 2 x 2 x 2 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 502, 448, 977, 112
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(502, 448) = 112448
GCD(502, 448) = ( 502 x 448 ) / 112448
= 502 / 448
= 502
Step2:
LCM(2, 977) = 1954
GCD(2, 977) = ( 2 x 977 ) / 1954
= 2 / 977
= 2
Step3:
LCM(1, 112) = 112
GCD(1, 112) = ( 1 x 112 ) / 112
= 1 / 112
= 1
So, Greatest Common Divisor of 502, 448, 977, 112 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 502, 448, 977, 112
The greatest common divisor of numbers 502, 448, 977, 112 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 502, 448, 977, 112 is 1.
1. What is the GCD of 502, 448, 977, 112?
GCD of given numbers 502, 448, 977, 112 is 1
2. How to calculate the greatest common divisor of 502, 448, 977, 112?
We can find the highest common divisor of 502, 448, 977, 112 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 502, 448, 977, 112 i.e 1.
3. How can I use the GCD of 502, 448, 977, 112Calculator?
Out the numbers 502, 448, 977, 112 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.