Online GCD Calculator is useful to find the GCD of 142, 349, 448 quickly. Get the easiest ways to solve the greatest common divisor of 142, 349, 448 i.e 1 in different methods as follows.
Given Input numbers are 142, 349, 448
In the factoring method, we have to find the divisors of all numbers
Divisors of 142 :
The positive integer divisors of 142 that completely divides 142 are.
1, 2, 71, 142
Divisors of 349 :
The positive integer divisors of 349 that completely divides 349 are.
1, 349
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
GCD of numbers is the greatest common divisor
So, the GCD (142, 349, 448) = 1.
Given numbers are 142, 349, 448
The list of prime factors of all numbers are
Prime factors of 142 are 2 x 71
Prime factors of 349 are 349
Prime factors of 448 are 2 x 2 x 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 142, 349, 448
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(142, 349) = 49558
GCD(142, 349) = ( 142 x 349 ) / 49558
= 142 / 349
= 142
Step2:
LCM(1, 448) = 448
GCD(1, 448) = ( 1 x 448 ) / 448
= 1 / 448
= 1
So, Greatest Common Divisor of 142, 349, 448 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 142, 349, 448
The greatest common divisor of numbers 142, 349, 448 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 142, 349, 448 is 1.
1. What is the GCD of 142, 349, 448?
GCD of given numbers 142, 349, 448 is 1
2. How to calculate the greatest common divisor of 142, 349, 448?
We can find the highest common divisor of 142, 349, 448 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 142, 349, 448 i.e 1.
3. How can I use the GCD of 142, 349, 448Calculator?
Out the numbers 142, 349, 448 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.