GCD of 710, 690, 780 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 710, 690, 780 quickly. Get the easiest ways to solve the greatest common divisor of 710, 690, 780 i.e 10 in different methods as follows.
Given Input numbers are 710, 690, 780
In the factoring method, we have to find the divisors of all numbers
Divisors of 710 :
The positive integer divisors of 710 that completely divides 710 are.
1, 2, 5, 10, 71, 142, 355, 710
Divisors of 690 :
The positive integer divisors of 690 that completely divides 690 are.
1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
Divisors of 780 :
The positive integer divisors of 780 that completely divides 780 are.
1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
GCD of numbers is the greatest common divisor
So, the GCD (710, 690, 780) = 10.
Given numbers are 710, 690, 780
The list of prime factors of all numbers are
Prime factors of 710 are 2 x 5 x 71
Prime factors of 690 are 2 x 3 x 5 x 23
Prime factors of 780 are 2 x 2 x 3 x 5 x 13
The highest common occurrence is 21 x 51
Therefore, GCD of 710, 690, 780 is 10.
Steps to Calculate GCD of 710, 690, 780 using LCM Formula
Given numbers are 710, 690, 780
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(710, 690) = 48990
GCD(710, 690) = ( 710 x 690 ) / 48990
= 710 / 690
= 710
Step2:
LCM(10, 780) = 780
GCD(10, 780) = ( 10 x 780 ) / 780
= 10 / 780
= 10
So, Greatest Common Divisor of 710, 690, 780 is 10
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 710, 690, 780
Given numbers are 710, 690, 780
The greatest common divisor of numbers 710, 690, 780 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 710, 690, 780 is 10.
FAQs on GCD of 710, 690, 780 Calculator
1. What is the GCD of 710, 690, 780?
GCD of given numbers 710, 690, 780 is 10
2. How to calculate the greatest common divisor of 710, 690, 780?
We can find the highest common divisor of 710, 690, 780 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 710, 690, 780 i.e 10.
3. How can I use the GCD of 710, 690, 780Calculator?
Out the numbers 710, 690, 780 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.