GCD of 948, 120, 276 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 948, 120, 276 quickly. Get the easiest ways to solve the greatest common divisor of 948, 120, 276 i.e 12 in different methods as follows.
Given Input numbers are 948, 120, 276
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 120 :
The positive integer divisors of 120 that completely divides 120 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
Divisors of 276 :
The positive integer divisors of 276 that completely divides 276 are.
1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
GCD of numbers is the greatest common divisor
So, the GCD (948, 120, 276) = 12.
Given numbers are 948, 120, 276
The list of prime factors of all numbers are
Prime factors of 948 are 2 x 2 x 3 x 79
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
Prime factors of 276 are 2 x 2 x 3 x 23
The highest common occurrence is 22 x 31
Therefore, GCD of 948, 120, 276 is 12.
Steps to Calculate GCD of 948, 120, 276 using LCM Formula
Given numbers are 948, 120, 276
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(948, 120) = 9480
GCD(948, 120) = ( 948 x 120 ) / 9480
= 948 / 120
= 948
Step2:
LCM(12, 276) = 276
GCD(12, 276) = ( 12 x 276 ) / 276
= 12 / 276
= 12
So, Greatest Common Divisor of 948, 120, 276 is 12
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 948, 120, 276
Given numbers are 948, 120, 276
The greatest common divisor of numbers 948, 120, 276 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 948, 120, 276 is 12.
FAQs on GCD of 948, 120, 276 Calculator
1. What is the GCD of 948, 120, 276?
GCD of given numbers 948, 120, 276 is 12
2. How to calculate the greatest common divisor of 948, 120, 276?
We can find the highest common divisor of 948, 120, 276 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 948, 120, 276 i.e 12.
3. How can I use the GCD of 948, 120, 276Calculator?
Out the numbers 948, 120, 276 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.