GCD of 357, 840, 672 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 357, 840, 672 quickly. Get the easiest ways to solve the greatest common divisor of 357, 840, 672 i.e 21 in different methods as follows.
Given Input numbers are 357, 840, 672
In the factoring method, we have to find the divisors of all numbers
Divisors of 357 :
The positive integer divisors of 357 that completely divides 357 are.
1, 3, 7, 17, 21, 51, 119, 357
Divisors of 840 :
The positive integer divisors of 840 that completely divides 840 are.
1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
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 (357, 840, 672) = 21.
Given numbers are 357, 840, 672
The list of prime factors of all numbers are
Prime factors of 357 are 3 x 7 x 17
Prime factors of 840 are 2 x 2 x 2 x 3 x 5 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 31 x 71
Therefore, GCD of 357, 840, 672 is 21.
Steps to Calculate GCD of 357, 840, 672 using LCM Formula
Given numbers are 357, 840, 672
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(357, 840) = 14280
GCD(357, 840) = ( 357 x 840 ) / 14280
= 357 / 840
= 357
Step2:
LCM(21, 672) = 672
GCD(21, 672) = ( 21 x 672 ) / 672
= 21 / 672
= 21
So, Greatest Common Divisor of 357, 840, 672 is 21
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 357, 840, 672
Given numbers are 357, 840, 672
The greatest common divisor of numbers 357, 840, 672 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 357, 840, 672 is 21.
FAQs on GCD of 357, 840, 672 Calculator
1. What is the GCD of 357, 840, 672?
GCD of given numbers 357, 840, 672 is 21
2. How to calculate the greatest common divisor of 357, 840, 672?
We can find the highest common divisor of 357, 840, 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 357, 840, 672 i.e 21.
3. How can I use the GCD of 357, 840, 672Calculator?
Out the numbers 357, 840, 672 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.