GCD of 761, 356, 724 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 761, 356, 724 quickly. Get the easiest ways to solve the greatest common divisor of 761, 356, 724 i.e 1 in different methods as follows.
Given Input numbers are 761, 356, 724
In the factoring method, we have to find the divisors of all numbers
Divisors of 761 :
The positive integer divisors of 761 that completely divides 761 are.
1, 761
Divisors of 356 :
The positive integer divisors of 356 that completely divides 356 are.
1, 2, 4, 89, 178, 356
Divisors of 724 :
The positive integer divisors of 724 that completely divides 724 are.
1, 2, 4, 181, 362, 724
GCD of numbers is the greatest common divisor
So, the GCD (761, 356, 724) = 1.
Given numbers are 761, 356, 724
The list of prime factors of all numbers are
Prime factors of 761 are 761
Prime factors of 356 are 2 x 2 x 89
Prime factors of 724 are 2 x 2 x 181
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 761, 356, 724 using LCM Formula
Given numbers are 761, 356, 724
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(761, 356) = 270916
GCD(761, 356) = ( 761 x 356 ) / 270916
= 761 / 356
= 761
Step2:
LCM(1, 724) = 724
GCD(1, 724) = ( 1 x 724 ) / 724
= 1 / 724
= 1
So, Greatest Common Divisor of 761, 356, 724 is 1
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 761, 356, 724
Given numbers are 761, 356, 724
The greatest common divisor of numbers 761, 356, 724 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 761, 356, 724 is 1.
FAQs on GCD of 761, 356, 724 Calculator
1. What is the GCD of 761, 356, 724?
GCD of given numbers 761, 356, 724 is 1
2. How to calculate the greatest common divisor of 761, 356, 724?
We can find the highest common divisor of 761, 356, 724 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 761, 356, 724 i.e 1.
3. How can I use the GCD of 761, 356, 724Calculator?
Out the numbers 761, 356, 724 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.