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GCD of 958, 974, 749, 998 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 958, 974, 749, 998 quickly. Get the easiest ways to solve the greatest common divisor of 958, 974, 749, 998 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 958, 974, 749, 998 with Factoring?

Given Input numbers are 958, 974, 749, 998

In the factoring method, we have to find the divisors of all numbers

Divisors of 958 :

The positive integer divisors of 958 that completely divides 958 are.

1, 2, 479, 958

Divisors of 974 :

The positive integer divisors of 974 that completely divides 974 are.

1, 2, 487, 974

Divisors of 749 :

The positive integer divisors of 749 that completely divides 749 are.

1, 7, 107, 749

Divisors of 998 :

The positive integer divisors of 998 that completely divides 998 are.

1, 2, 499, 998


GCD of numbers is the greatest common divisor

So, the GCD (958, 974, 749, 998) = 1.

Find GCD of 958, 974, 749, 998 using Prime Factorization

Given numbers are 958, 974, 749, 998

The list of prime factors of all numbers are

Prime factors of 958 are 2 x 479

Prime factors of 974 are 2 x 487

Prime factors of 749 are 7 x 107

Prime factors of 998 are 2 x 499

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 958, 974, 749, 998 using LCM Formula

Given numbers are 958, 974, 749, 998

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(958, 974) = 466546

GCD(958, 974) = ( 958 x 974 ) / 466546

= 958 / 974

= 958


Step2:

LCM(2, 749) = 1498

GCD(2, 749) = ( 2 x 749 ) / 1498

= 2 / 749

= 2


Step3:

LCM(1, 998) = 998

GCD(1, 998) = ( 1 x 998 ) / 998

= 1 / 998

= 1


So, Greatest Common Divisor of 958, 974, 749, 998 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 958, 974, 749, 998

Given numbers are 958, 974, 749, 998
The greatest common divisor of numbers 958, 974, 749, 998 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 958, 974, 749, 998 is 1.

FAQs on GCD of 958, 974, 749, 998 Calculator

1. What is the GCD of 958, 974, 749, 998?

GCD of given numbers 958, 974, 749, 998 is 1


2. How to calculate the greatest common divisor of 958, 974, 749, 998?

We can find the highest common divisor of 958, 974, 749, 998 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 958, 974, 749, 998 i.e 1.


3. How can I use the GCD of 958, 974, 749, 998Calculator?

Out the numbers 958, 974, 749, 998 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.