GCD of 687, 975, 948 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 687, 975, 948 quickly. Get the easiest ways to solve the greatest common divisor of 687, 975, 948 i.e 3 in different methods as follows.
Given Input numbers are 687, 975, 948
In the factoring method, we have to find the divisors of all numbers
Divisors of 687 :
The positive integer divisors of 687 that completely divides 687 are.
1, 3, 229, 687
Divisors of 975 :
The positive integer divisors of 975 that completely divides 975 are.
1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
Divisors of 948 :
The positive integer divisors of 948 that completely divides 948 are.
1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
GCD of numbers is the greatest common divisor
So, the GCD (687, 975, 948) = 3.
Given numbers are 687, 975, 948
The list of prime factors of all numbers are
Prime factors of 687 are 3 x 229
Prime factors of 975 are 3 x 5 x 5 x 13
Prime factors of 948 are 2 x 2 x 3 x 79
The highest common occurrence is 31
Therefore, GCD of 687, 975, 948 is 3.
Steps to Calculate GCD of 687, 975, 948 using LCM Formula
Given numbers are 687, 975, 948
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(687, 975) = 223275
GCD(687, 975) = ( 687 x 975 ) / 223275
= 687 / 975
= 687
Step2:
LCM(3, 948) = 948
GCD(3, 948) = ( 3 x 948 ) / 948
= 3 / 948
= 3
So, Greatest Common Divisor of 687, 975, 948 is 3
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 687, 975, 948
Given numbers are 687, 975, 948
The greatest common divisor of numbers 687, 975, 948 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 687, 975, 948 is 3.
FAQs on GCD of 687, 975, 948 Calculator
1. What is the GCD of 687, 975, 948?
GCD of given numbers 687, 975, 948 is 3
2. How to calculate the greatest common divisor of 687, 975, 948?
We can find the highest common divisor of 687, 975, 948 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 687, 975, 948 i.e 3.
3. How can I use the GCD of 687, 975, 948Calculator?
Out the numbers 687, 975, 948 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.