GCD of 945, 980, 345 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 945, 980, 345 quickly. Get the easiest ways to solve the greatest common divisor of 945, 980, 345 i.e 5 in different methods as follows.
Given Input numbers are 945, 980, 345
In the factoring method, we have to find the divisors of all numbers
Divisors of 945 :
The positive integer divisors of 945 that completely divides 945 are.
1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
Divisors of 980 :
The positive integer divisors of 980 that completely divides 980 are.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
Divisors of 345 :
The positive integer divisors of 345 that completely divides 345 are.
1, 3, 5, 15, 23, 69, 115, 345
GCD of numbers is the greatest common divisor
So, the GCD (945, 980, 345) = 5.
Given numbers are 945, 980, 345
The list of prime factors of all numbers are
Prime factors of 945 are 3 x 3 x 3 x 5 x 7
Prime factors of 980 are 2 x 2 x 5 x 7 x 7
Prime factors of 345 are 3 x 5 x 23
The highest common occurrence is 51
Therefore, GCD of 945, 980, 345 is 5.
Steps to Calculate GCD of 945, 980, 345 using LCM Formula
Given numbers are 945, 980, 345
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(945, 980) = 26460
GCD(945, 980) = ( 945 x 980 ) / 26460
= 945 / 980
= 945
Step2:
LCM(35, 345) = 2415
GCD(35, 345) = ( 35 x 345 ) / 2415
= 35 / 345
= 35
So, Greatest Common Divisor of 945, 980, 345 is 5
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 945, 980, 345
Given numbers are 945, 980, 345
The greatest common divisor of numbers 945, 980, 345 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 945, 980, 345 is 5.
FAQs on GCD of 945, 980, 345 Calculator
1. What is the GCD of 945, 980, 345?
GCD of given numbers 945, 980, 345 is 5
2. How to calculate the greatest common divisor of 945, 980, 345?
We can find the highest common divisor of 945, 980, 345 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 945, 980, 345 i.e 5.
3. How can I use the GCD of 945, 980, 345Calculator?
Out the numbers 945, 980, 345 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.