GCD of 670, 560, 740 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 670, 560, 740 quickly. Get the easiest ways to solve the greatest common divisor of 670, 560, 740 i.e 10 in different methods as follows.
Given Input numbers are 670, 560, 740
In the factoring method, we have to find the divisors of all numbers
Divisors of 670 :
The positive integer divisors of 670 that completely divides 670 are.
1, 2, 5, 10, 67, 134, 335, 670
Divisors of 560 :
The positive integer divisors of 560 that completely divides 560 are.
1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
Divisors of 740 :
The positive integer divisors of 740 that completely divides 740 are.
1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
GCD of numbers is the greatest common divisor
So, the GCD (670, 560, 740) = 10.
Given numbers are 670, 560, 740
The list of prime factors of all numbers are
Prime factors of 670 are 2 x 5 x 67
Prime factors of 560 are 2 x 2 x 2 x 2 x 5 x 7
Prime factors of 740 are 2 x 2 x 5 x 37
The highest common occurrence is 21 x 51
Therefore, GCD of 670, 560, 740 is 10.
Steps to Calculate GCD of 670, 560, 740 using LCM Formula
Given numbers are 670, 560, 740
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(670, 560) = 37520
GCD(670, 560) = ( 670 x 560 ) / 37520
= 670 / 560
= 670
Step2:
LCM(10, 740) = 740
GCD(10, 740) = ( 10 x 740 ) / 740
= 10 / 740
= 10
So, Greatest Common Divisor of 670, 560, 740 is 10
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 670, 560, 740
Given numbers are 670, 560, 740
The greatest common divisor of numbers 670, 560, 740 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 670, 560, 740 is 10.
FAQs on GCD of 670, 560, 740 Calculator
1. What is the GCD of 670, 560, 740?
GCD of given numbers 670, 560, 740 is 10
2. How to calculate the greatest common divisor of 670, 560, 740?
We can find the highest common divisor of 670, 560, 740 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 670, 560, 740 i.e 10.
3. How can I use the GCD of 670, 560, 740Calculator?
Out the numbers 670, 560, 740 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.