GCD of 735, 945, 370 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 735, 945, 370 quickly. Get the easiest ways to solve the greatest common divisor of 735, 945, 370 i.e 5 in different methods as follows.
Given Input numbers are 735, 945, 370
In the factoring method, we have to find the divisors of all numbers
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 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 370 :
The positive integer divisors of 370 that completely divides 370 are.
1, 2, 5, 10, 37, 74, 185, 370
GCD of numbers is the greatest common divisor
So, the GCD (735, 945, 370) = 5.
Given numbers are 735, 945, 370
The list of prime factors of all numbers are
Prime factors of 735 are 3 x 5 x 7 x 7
Prime factors of 945 are 3 x 3 x 3 x 5 x 7
Prime factors of 370 are 2 x 5 x 37
The highest common occurrence is 51
Therefore, GCD of 735, 945, 370 is 5.
Steps to Calculate GCD of 735, 945, 370 using LCM Formula
Given numbers are 735, 945, 370
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(735, 945) = 6615
GCD(735, 945) = ( 735 x 945 ) / 6615
= 735 / 945
= 735
Step2:
LCM(105, 370) = 7770
GCD(105, 370) = ( 105 x 370 ) / 7770
= 105 / 370
= 105
So, Greatest Common Divisor of 735, 945, 370 is 5
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 735, 945, 370
Given numbers are 735, 945, 370
The greatest common divisor of numbers 735, 945, 370 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 735, 945, 370 is 5.
FAQs on GCD of 735, 945, 370 Calculator
1. What is the GCD of 735, 945, 370?
GCD of given numbers 735, 945, 370 is 5
2. How to calculate the greatest common divisor of 735, 945, 370?
We can find the highest common divisor of 735, 945, 370 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 735, 945, 370 i.e 5.
3. How can I use the GCD of 735, 945, 370Calculator?
Out the numbers 735, 945, 370 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.