GCD of 707, 742, 311, 874 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 707, 742, 311, 874 quickly. Get the easiest ways to solve the greatest common divisor of 707, 742, 311, 874 i.e 1 in different methods as follows.
Given Input numbers are 707, 742, 311, 874
In the factoring method, we have to find the divisors of all numbers
Divisors of 707 :
The positive integer divisors of 707 that completely divides 707 are.
1, 7, 101, 707
Divisors of 742 :
The positive integer divisors of 742 that completely divides 742 are.
1, 2, 7, 14, 53, 106, 371, 742
Divisors of 311 :
The positive integer divisors of 311 that completely divides 311 are.
1, 311
Divisors of 874 :
The positive integer divisors of 874 that completely divides 874 are.
1, 2, 19, 23, 38, 46, 437, 874
GCD of numbers is the greatest common divisor
So, the GCD (707, 742, 311, 874) = 1.
Given numbers are 707, 742, 311, 874
The list of prime factors of all numbers are
Prime factors of 707 are 7 x 101
Prime factors of 742 are 2 x 7 x 53
Prime factors of 311 are 311
Prime factors of 874 are 2 x 19 x 23
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 707, 742, 311, 874 using LCM Formula
Given numbers are 707, 742, 311, 874
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(707, 742) = 74942
GCD(707, 742) = ( 707 x 742 ) / 74942
= 707 / 742
= 707
Step2:
LCM(7, 311) = 2177
GCD(7, 311) = ( 7 x 311 ) / 2177
= 7 / 311
= 7
Step3:
LCM(1, 874) = 874
GCD(1, 874) = ( 1 x 874 ) / 874
= 1 / 874
= 1
So, Greatest Common Divisor of 707, 742, 311, 874 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 707, 742, 311, 874
Given numbers are 707, 742, 311, 874
The greatest common divisor of numbers 707, 742, 311, 874 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 707, 742, 311, 874 is 1.
FAQs on GCD of 707, 742, 311, 874 Calculator
1. What is the GCD of 707, 742, 311, 874?
GCD of given numbers 707, 742, 311, 874 is 1
2. How to calculate the greatest common divisor of 707, 742, 311, 874?
We can find the highest common divisor of 707, 742, 311, 874 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 707, 742, 311, 874 i.e 1.
3. How can I use the GCD of 707, 742, 311, 874Calculator?
Out the numbers 707, 742, 311, 874 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.