GCD of 950, 400, 675 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 950, 400, 675 quickly. Get the easiest ways to solve the greatest common divisor of 950, 400, 675 i.e 25 in different methods as follows.
Given Input numbers are 950, 400, 675
In the factoring method, we have to find the divisors of all numbers
Divisors of 950 :
The positive integer divisors of 950 that completely divides 950 are.
1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
Divisors of 400 :
The positive integer divisors of 400 that completely divides 400 are.
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
Divisors of 675 :
The positive integer divisors of 675 that completely divides 675 are.
1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
GCD of numbers is the greatest common divisor
So, the GCD (950, 400, 675) = 25.
Given numbers are 950, 400, 675
The list of prime factors of all numbers are
Prime factors of 950 are 2 x 5 x 5 x 19
Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5
Prime factors of 675 are 3 x 3 x 3 x 5 x 5
The highest common occurrence is 52
Therefore, GCD of 950, 400, 675 is 25.
Steps to Calculate GCD of 950, 400, 675 using LCM Formula
Given numbers are 950, 400, 675
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(950, 400) = 7600
GCD(950, 400) = ( 950 x 400 ) / 7600
= 950 / 400
= 950
Step2:
LCM(50, 675) = 1350
GCD(50, 675) = ( 50 x 675 ) / 1350
= 50 / 675
= 50
So, Greatest Common Divisor of 950, 400, 675 is 25
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 950, 400, 675
Given numbers are 950, 400, 675
The greatest common divisor of numbers 950, 400, 675 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 950, 400, 675 is 25.
FAQs on GCD of 950, 400, 675 Calculator
1. What is the GCD of 950, 400, 675?
GCD of given numbers 950, 400, 675 is 25
2. How to calculate the greatest common divisor of 950, 400, 675?
We can find the highest common divisor of 950, 400, 675 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 950, 400, 675 i.e 25.
3. How can I use the GCD of 950, 400, 675Calculator?
Out the numbers 950, 400, 675 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.