GCD of 140, 687, 49 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 140, 687, 49 quickly. Get the easiest ways to solve the greatest common divisor of 140, 687, 49 i.e 1 in different methods as follows.
Given Input numbers are 140, 687, 49
In the factoring method, we have to find the divisors of all numbers
Divisors of 140 :
The positive integer divisors of 140 that completely divides 140 are.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
Divisors of 687 :
The positive integer divisors of 687 that completely divides 687 are.
1, 3, 229, 687
Divisors of 49 :
The positive integer divisors of 49 that completely divides 49 are.
1, 7, 49
GCD of numbers is the greatest common divisor
So, the GCD (140, 687, 49) = 1.
Given numbers are 140, 687, 49
The list of prime factors of all numbers are
Prime factors of 140 are 2 x 2 x 5 x 7
Prime factors of 687 are 3 x 229
Prime factors of 49 are 7 x 7
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 140, 687, 49 using LCM Formula
Given numbers are 140, 687, 49
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(140, 687) = 96180
GCD(140, 687) = ( 140 x 687 ) / 96180
= 140 / 687
= 140
Step2:
LCM(1, 49) = 49
GCD(1, 49) = ( 1 x 49 ) / 49
= 1 / 49
= 1
So, Greatest Common Divisor of 140, 687, 49 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 140, 687, 49
Given numbers are 140, 687, 49
The greatest common divisor of numbers 140, 687, 49 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 140, 687, 49 is 1.
FAQs on GCD of 140, 687, 49 Calculator
1. What is the GCD of 140, 687, 49?
GCD of given numbers 140, 687, 49 is 1
2. How to calculate the greatest common divisor of 140, 687, 49?
We can find the highest common divisor of 140, 687, 49 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 140, 687, 49 i.e 1.
3. How can I use the GCD of 140, 687, 49Calculator?
Out the numbers 140, 687, 49 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.