GCD of 490, 112, 672 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 490, 112, 672 quickly. Get the easiest ways to solve the greatest common divisor of 490, 112, 672 i.e 14 in different methods as follows.
Given Input numbers are 490, 112, 672
In the factoring method, we have to find the divisors of all numbers
Divisors of 490 :
The positive integer divisors of 490 that completely divides 490 are.
1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
Divisors of 112 :
The positive integer divisors of 112 that completely divides 112 are.
1, 2, 4, 7, 8, 14, 16, 28, 56, 112
Divisors of 672 :
The positive integer divisors of 672 that completely divides 672 are.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
GCD of numbers is the greatest common divisor
So, the GCD (490, 112, 672) = 14.
Given numbers are 490, 112, 672
The list of prime factors of all numbers are
Prime factors of 490 are 2 x 5 x 7 x 7
Prime factors of 112 are 2 x 2 x 2 x 2 x 7
Prime factors of 672 are 2 x 2 x 2 x 2 x 2 x 3 x 7
The highest common occurrence is 21 x 71
Therefore, GCD of 490, 112, 672 is 14.
Steps to Calculate GCD of 490, 112, 672 using LCM Formula
Given numbers are 490, 112, 672
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(490, 112) = 3920
GCD(490, 112) = ( 490 x 112 ) / 3920
= 490 / 112
= 490
Step2:
LCM(14, 672) = 672
GCD(14, 672) = ( 14 x 672 ) / 672
= 14 / 672
= 14
So, Greatest Common Divisor of 490, 112, 672 is 14
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 490, 112, 672
Given numbers are 490, 112, 672
The greatest common divisor of numbers 490, 112, 672 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 490, 112, 672 is 14.
FAQs on GCD of 490, 112, 672 Calculator
1. What is the GCD of 490, 112, 672?
GCD of given numbers 490, 112, 672 is 14
2. How to calculate the greatest common divisor of 490, 112, 672?
We can find the highest common divisor of 490, 112, 672 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 490, 112, 672 i.e 14.
3. How can I use the GCD of 490, 112, 672Calculator?
Out the numbers 490, 112, 672 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.