Online GCD Calculator is useful to find the GCD of 448, 358, 297, 107 quickly. Get the easiest ways to solve the greatest common divisor of 448, 358, 297, 107 i.e 1 in different methods as follows.
Given Input numbers are 448, 358, 297, 107
In the factoring method, we have to find the divisors of all numbers
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 358 :
The positive integer divisors of 358 that completely divides 358 are.
1, 2, 179, 358
Divisors of 297 :
The positive integer divisors of 297 that completely divides 297 are.
1, 3, 9, 11, 27, 33, 99, 297
Divisors of 107 :
The positive integer divisors of 107 that completely divides 107 are.
1, 107
GCD of numbers is the greatest common divisor
So, the GCD (448, 358, 297, 107) = 1.
Given numbers are 448, 358, 297, 107
The list of prime factors of all numbers are
Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7
Prime factors of 358 are 2 x 179
Prime factors of 297 are 3 x 3 x 3 x 11
Prime factors of 107 are 107
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 448, 358, 297, 107
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(448, 358) = 80192
GCD(448, 358) = ( 448 x 358 ) / 80192
= 448 / 358
= 448
Step2:
LCM(2, 297) = 594
GCD(2, 297) = ( 2 x 297 ) / 594
= 2 / 297
= 2
Step3:
LCM(1, 107) = 107
GCD(1, 107) = ( 1 x 107 ) / 107
= 1 / 107
= 1
So, Greatest Common Divisor of 448, 358, 297, 107 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 448, 358, 297, 107
The greatest common divisor of numbers 448, 358, 297, 107 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 448, 358, 297, 107 is 1.
1. What is the GCD of 448, 358, 297, 107?
GCD of given numbers 448, 358, 297, 107 is 1
2. How to calculate the greatest common divisor of 448, 358, 297, 107?
We can find the highest common divisor of 448, 358, 297, 107 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 448, 358, 297, 107 i.e 1.
3. How can I use the GCD of 448, 358, 297, 107Calculator?
Out the numbers 448, 358, 297, 107 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.