GCD of 497, 938, 60, 758 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 497, 938, 60, 758 quickly. Get the easiest ways to solve the greatest common divisor of 497, 938, 60, 758 i.e 1 in different methods as follows.
Given Input numbers are 497, 938, 60, 758
In the factoring method, we have to find the divisors of all numbers
Divisors of 497 :
The positive integer divisors of 497 that completely divides 497 are.
1, 7, 71, 497
Divisors of 938 :
The positive integer divisors of 938 that completely divides 938 are.
1, 2, 7, 14, 67, 134, 469, 938
Divisors of 60 :
The positive integer divisors of 60 that completely divides 60 are.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Divisors of 758 :
The positive integer divisors of 758 that completely divides 758 are.
1, 2, 379, 758
GCD of numbers is the greatest common divisor
So, the GCD (497, 938, 60, 758) = 1.
Given numbers are 497, 938, 60, 758
The list of prime factors of all numbers are
Prime factors of 497 are 7 x 71
Prime factors of 938 are 2 x 7 x 67
Prime factors of 60 are 2 x 2 x 3 x 5
Prime factors of 758 are 2 x 379
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 497, 938, 60, 758 using LCM Formula
Given numbers are 497, 938, 60, 758
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(497, 938) = 66598
GCD(497, 938) = ( 497 x 938 ) / 66598
= 497 / 938
= 497
Step2:
LCM(7, 60) = 420
GCD(7, 60) = ( 7 x 60 ) / 420
= 7 / 60
= 7
Step3:
LCM(1, 758) = 758
GCD(1, 758) = ( 1 x 758 ) / 758
= 1 / 758
= 1
So, Greatest Common Divisor of 497, 938, 60, 758 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 497, 938, 60, 758
Given numbers are 497, 938, 60, 758
The greatest common divisor of numbers 497, 938, 60, 758 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 497, 938, 60, 758 is 1.
FAQs on GCD of 497, 938, 60, 758 Calculator
1. What is the GCD of 497, 938, 60, 758?
GCD of given numbers 497, 938, 60, 758 is 1
2. How to calculate the greatest common divisor of 497, 938, 60, 758?
We can find the highest common divisor of 497, 938, 60, 758 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 497, 938, 60, 758 i.e 1.
3. How can I use the GCD of 497, 938, 60, 758Calculator?
Out the numbers 497, 938, 60, 758 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.