GCD of 974, 142, 74, 691 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 974, 142, 74, 691 quickly. Get the easiest ways to solve the greatest common divisor of 974, 142, 74, 691 i.e 1 in different methods as follows.
Given Input numbers are 974, 142, 74, 691
In the factoring method, we have to find the divisors of all numbers
Divisors of 974 :
The positive integer divisors of 974 that completely divides 974 are.
1, 2, 487, 974
Divisors of 142 :
The positive integer divisors of 142 that completely divides 142 are.
1, 2, 71, 142
Divisors of 74 :
The positive integer divisors of 74 that completely divides 74 are.
1, 2, 37, 74
Divisors of 691 :
The positive integer divisors of 691 that completely divides 691 are.
1, 691
GCD of numbers is the greatest common divisor
So, the GCD (974, 142, 74, 691) = 1.
Given numbers are 974, 142, 74, 691
The list of prime factors of all numbers are
Prime factors of 974 are 2 x 487
Prime factors of 142 are 2 x 71
Prime factors of 74 are 2 x 37
Prime factors of 691 are 691
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 974, 142, 74, 691 using LCM Formula
Given numbers are 974, 142, 74, 691
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(974, 142) = 69154
GCD(974, 142) = ( 974 x 142 ) / 69154
= 974 / 142
= 974
Step2:
LCM(2, 74) = 74
GCD(2, 74) = ( 2 x 74 ) / 74
= 2 / 74
= 2
Step3:
LCM(2, 691) = 1382
GCD(2, 691) = ( 2 x 691 ) / 1382
= 2 / 691
= 2
So, Greatest Common Divisor of 974, 142, 74, 691 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 974, 142, 74, 691
Given numbers are 974, 142, 74, 691
The greatest common divisor of numbers 974, 142, 74, 691 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 974, 142, 74, 691 is 1.
FAQs on GCD of 974, 142, 74, 691 Calculator
1. What is the GCD of 974, 142, 74, 691?
GCD of given numbers 974, 142, 74, 691 is 1
2. How to calculate the greatest common divisor of 974, 142, 74, 691?
We can find the highest common divisor of 974, 142, 74, 691 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 974, 142, 74, 691 i.e 1.
3. How can I use the GCD of 974, 142, 74, 691Calculator?
Out the numbers 974, 142, 74, 691 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.