GCD of 157, 138, 755, 994 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 157, 138, 755, 994 quickly. Get the easiest ways to solve the greatest common divisor of 157, 138, 755, 994 i.e 1 in different methods as follows.
Given Input numbers are 157, 138, 755, 994
In the factoring method, we have to find the divisors of all numbers
Divisors of 157 :
The positive integer divisors of 157 that completely divides 157 are.
1, 157
Divisors of 138 :
The positive integer divisors of 138 that completely divides 138 are.
1, 2, 3, 6, 23, 46, 69, 138
Divisors of 755 :
The positive integer divisors of 755 that completely divides 755 are.
1, 5, 151, 755
Divisors of 994 :
The positive integer divisors of 994 that completely divides 994 are.
1, 2, 7, 14, 71, 142, 497, 994
GCD of numbers is the greatest common divisor
So, the GCD (157, 138, 755, 994) = 1.
Given numbers are 157, 138, 755, 994
The list of prime factors of all numbers are
Prime factors of 157 are 157
Prime factors of 138 are 2 x 3 x 23
Prime factors of 755 are 5 x 151
Prime factors of 994 are 2 x 7 x 71
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 157, 138, 755, 994 using LCM Formula
Given numbers are 157, 138, 755, 994
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(157, 138) = 21666
GCD(157, 138) = ( 157 x 138 ) / 21666
= 157 / 138
= 157
Step2:
LCM(1, 755) = 755
GCD(1, 755) = ( 1 x 755 ) / 755
= 1 / 755
= 1
Step3:
LCM(1, 994) = 994
GCD(1, 994) = ( 1 x 994 ) / 994
= 1 / 994
= 1
So, Greatest Common Divisor of 157, 138, 755, 994 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 157, 138, 755, 994
Given numbers are 157, 138, 755, 994
The greatest common divisor of numbers 157, 138, 755, 994 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 157, 138, 755, 994 is 1.
FAQs on GCD of 157, 138, 755, 994 Calculator
1. What is the GCD of 157, 138, 755, 994?
GCD of given numbers 157, 138, 755, 994 is 1
2. How to calculate the greatest common divisor of 157, 138, 755, 994?
We can find the highest common divisor of 157, 138, 755, 994 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 157, 138, 755, 994 i.e 1.
3. How can I use the GCD of 157, 138, 755, 994Calculator?
Out the numbers 157, 138, 755, 994 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.