GCD of 875, 980, 940 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 875, 980, 940 quickly. Get the easiest ways to solve the greatest common divisor of 875, 980, 940 i.e 5 in different methods as follows.
Given Input numbers are 875, 980, 940
In the factoring method, we have to find the divisors of all numbers
Divisors of 875 :
The positive integer divisors of 875 that completely divides 875 are.
1, 5, 7, 25, 35, 125, 175, 875
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 940 :
The positive integer divisors of 940 that completely divides 940 are.
1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
GCD of numbers is the greatest common divisor
So, the GCD (875, 980, 940) = 5.
Given numbers are 875, 980, 940
The list of prime factors of all numbers are
Prime factors of 875 are 5 x 5 x 5 x 7
Prime factors of 980 are 2 x 2 x 5 x 7 x 7
Prime factors of 940 are 2 x 2 x 5 x 47
The highest common occurrence is 51
Therefore, GCD of 875, 980, 940 is 5.
Steps to Calculate GCD of 875, 980, 940 using LCM Formula
Given numbers are 875, 980, 940
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(875, 980) = 24500
GCD(875, 980) = ( 875 x 980 ) / 24500
= 875 / 980
= 875
Step2:
LCM(35, 940) = 6580
GCD(35, 940) = ( 35 x 940 ) / 6580
= 35 / 940
= 35
So, Greatest Common Divisor of 875, 980, 940 is 5
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 875, 980, 940
Given numbers are 875, 980, 940
The greatest common divisor of numbers 875, 980, 940 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 875, 980, 940 is 5.
FAQs on GCD of 875, 980, 940 Calculator
1. What is the GCD of 875, 980, 940?
GCD of given numbers 875, 980, 940 is 5
2. How to calculate the greatest common divisor of 875, 980, 940?
We can find the highest common divisor of 875, 980, 940 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 875, 980, 940 i.e 5.
3. How can I use the GCD of 875, 980, 940Calculator?
Out the numbers 875, 980, 940 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.