GCD of 976, 735, 342 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 976, 735, 342 quickly. Get the easiest ways to solve the greatest common divisor of 976, 735, 342 i.e 1 in different methods as follows.
Given Input numbers are 976, 735, 342
In the factoring method, we have to find the divisors of all numbers
Divisors of 976 :
The positive integer divisors of 976 that completely divides 976 are.
1, 2, 4, 8, 16, 61, 122, 244, 488, 976
Divisors of 735 :
The positive integer divisors of 735 that completely divides 735 are.
1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
Divisors of 342 :
The positive integer divisors of 342 that completely divides 342 are.
1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
GCD of numbers is the greatest common divisor
So, the GCD (976, 735, 342) = 1.
Given numbers are 976, 735, 342
The list of prime factors of all numbers are
Prime factors of 976 are 2 x 2 x 2 x 2 x 61
Prime factors of 735 are 3 x 5 x 7 x 7
Prime factors of 342 are 2 x 3 x 3 x 19
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 976, 735, 342 using LCM Formula
Given numbers are 976, 735, 342
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(976, 735) = 717360
GCD(976, 735) = ( 976 x 735 ) / 717360
= 976 / 735
= 976
Step2:
LCM(1, 342) = 342
GCD(1, 342) = ( 1 x 342 ) / 342
= 1 / 342
= 1
So, Greatest Common Divisor of 976, 735, 342 is 1
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 976, 735, 342
Given numbers are 976, 735, 342
The greatest common divisor of numbers 976, 735, 342 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 976, 735, 342 is 1.
FAQs on GCD of 976, 735, 342 Calculator
1. What is the GCD of 976, 735, 342?
GCD of given numbers 976, 735, 342 is 1
2. How to calculate the greatest common divisor of 976, 735, 342?
We can find the highest common divisor of 976, 735, 342 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 976, 735, 342 i.e 1.
3. How can I use the GCD of 976, 735, 342Calculator?
Out the numbers 976, 735, 342 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.