GCD of 371, 434, 562, 105 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 371, 434, 562, 105 quickly. Get the easiest ways to solve the greatest common divisor of 371, 434, 562, 105 i.e 1 in different methods as follows.
Given Input numbers are 371, 434, 562, 105
In the factoring method, we have to find the divisors of all numbers
Divisors of 371 :
The positive integer divisors of 371 that completely divides 371 are.
1, 7, 53, 371
Divisors of 434 :
The positive integer divisors of 434 that completely divides 434 are.
1, 2, 7, 14, 31, 62, 217, 434
Divisors of 562 :
The positive integer divisors of 562 that completely divides 562 are.
1, 2, 281, 562
Divisors of 105 :
The positive integer divisors of 105 that completely divides 105 are.
1, 3, 5, 7, 15, 21, 35, 105
GCD of numbers is the greatest common divisor
So, the GCD (371, 434, 562, 105) = 1.
Given numbers are 371, 434, 562, 105
The list of prime factors of all numbers are
Prime factors of 371 are 7 x 53
Prime factors of 434 are 2 x 7 x 31
Prime factors of 562 are 2 x 281
Prime factors of 105 are 3 x 5 x 7
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 371, 434, 562, 105 using LCM Formula
Given numbers are 371, 434, 562, 105
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(371, 434) = 23002
GCD(371, 434) = ( 371 x 434 ) / 23002
= 371 / 434
= 371
Step2:
LCM(7, 562) = 3934
GCD(7, 562) = ( 7 x 562 ) / 3934
= 7 / 562
= 7
Step3:
LCM(1, 105) = 105
GCD(1, 105) = ( 1 x 105 ) / 105
= 1 / 105
= 1
So, Greatest Common Divisor of 371, 434, 562, 105 is 1
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 371, 434, 562, 105
Given numbers are 371, 434, 562, 105
The greatest common divisor of numbers 371, 434, 562, 105 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 371, 434, 562, 105 is 1.
FAQs on GCD of 371, 434, 562, 105 Calculator
1. What is the GCD of 371, 434, 562, 105?
GCD of given numbers 371, 434, 562, 105 is 1
2. How to calculate the greatest common divisor of 371, 434, 562, 105?
We can find the highest common divisor of 371, 434, 562, 105 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 371, 434, 562, 105 i.e 1.
3. How can I use the GCD of 371, 434, 562, 105Calculator?
Out the numbers 371, 434, 562, 105 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.