GCD of 842, 756, 700 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 842, 756, 700 quickly. Get the easiest ways to solve the greatest common divisor of 842, 756, 700 i.e 2 in different methods as follows.
Given Input numbers are 842, 756, 700
In the factoring method, we have to find the divisors of all numbers
Divisors of 842 :
The positive integer divisors of 842 that completely divides 842 are.
1, 2, 421, 842
Divisors of 756 :
The positive integer divisors of 756 that completely divides 756 are.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
Divisors of 700 :
The positive integer divisors of 700 that completely divides 700 are.
1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
GCD of numbers is the greatest common divisor
So, the GCD (842, 756, 700) = 2.
Given numbers are 842, 756, 700
The list of prime factors of all numbers are
Prime factors of 842 are 2 x 421
Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7
Prime factors of 700 are 2 x 2 x 5 x 5 x 7
The highest common occurrence is 21
Therefore, GCD of 842, 756, 700 is 2.
Steps to Calculate GCD of 842, 756, 700 using LCM Formula
Given numbers are 842, 756, 700
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(842, 756) = 318276
GCD(842, 756) = ( 842 x 756 ) / 318276
= 842 / 756
= 842
Step2:
LCM(2, 700) = 700
GCD(2, 700) = ( 2 x 700 ) / 700
= 2 / 700
= 2
So, Greatest Common Divisor of 842, 756, 700 is 2
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 842, 756, 700
Given numbers are 842, 756, 700
The greatest common divisor of numbers 842, 756, 700 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 842, 756, 700 is 2.
FAQs on GCD of 842, 756, 700 Calculator
1. What is the GCD of 842, 756, 700?
GCD of given numbers 842, 756, 700 is 2
2. How to calculate the greatest common divisor of 842, 756, 700?
We can find the highest common divisor of 842, 756, 700 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 842, 756, 700 i.e 2.
3. How can I use the GCD of 842, 756, 700Calculator?
Out the numbers 842, 756, 700 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.