GCD of 749, 196, 840 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 749, 196, 840 quickly. Get the easiest ways to solve the greatest common divisor of 749, 196, 840 i.e 7 in different methods as follows.
Given Input numbers are 749, 196, 840
In the factoring method, we have to find the divisors of all numbers
Divisors of 749 :
The positive integer divisors of 749 that completely divides 749 are.
1, 7, 107, 749
Divisors of 196 :
The positive integer divisors of 196 that completely divides 196 are.
1, 2, 4, 7, 14, 28, 49, 98, 196
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
GCD of numbers is the greatest common divisor
So, the GCD (749, 196, 840) = 7.
Given numbers are 749, 196, 840
The list of prime factors of all numbers are
Prime factors of 749 are 7 x 107
Prime factors of 196 are 2 x 2 x 7 x 7
Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7
The highest common occurrence is 71
Therefore, GCD of 749, 196, 840 is 7.
Steps to Calculate GCD of 749, 196, 840 using LCM Formula
Given numbers are 749, 196, 840
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(749, 196) = 20972
GCD(749, 196) = ( 749 x 196 ) / 20972
= 749 / 196
= 749
Step2:
LCM(7, 840) = 840
GCD(7, 840) = ( 7 x 840 ) / 840
= 7 / 840
= 7
So, Greatest Common Divisor of 749, 196, 840 is 7
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 749, 196, 840
Given numbers are 749, 196, 840
The greatest common divisor of numbers 749, 196, 840 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 749, 196, 840 is 7.
FAQs on GCD of 749, 196, 840 Calculator
1. What is the GCD of 749, 196, 840?
GCD of given numbers 749, 196, 840 is 7
2. How to calculate the greatest common divisor of 749, 196, 840?
We can find the highest common divisor of 749, 196, 840 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 749, 196, 840 i.e 7.
3. How can I use the GCD of 749, 196, 840Calculator?
Out the numbers 749, 196, 840 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.