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GCD of 975, 901, 749, 670 Calculator

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


Online GCD Calculator is useful to find the GCD of 975, 901, 749, 670 quickly. Get the easiest ways to solve the greatest common divisor of 975, 901, 749, 670 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 975, 901, 749, 670 with Factoring?

Given Input numbers are 975, 901, 749, 670

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

Divisors of 975 :

The positive integer divisors of 975 that completely divides 975 are.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 901 :

The positive integer divisors of 901 that completely divides 901 are.

1, 17, 53, 901

Divisors of 749 :

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

1, 7, 107, 749

Divisors of 670 :

The positive integer divisors of 670 that completely divides 670 are.

1, 2, 5, 10, 67, 134, 335, 670


GCD of numbers is the greatest common divisor

So, the GCD (975, 901, 749, 670) = 1.

Find GCD of 975, 901, 749, 670 using Prime Factorization

Given numbers are 975, 901, 749, 670

The list of prime factors of all numbers are

Prime factors of 975 are 3 x 5 x 5 x 13

Prime factors of 901 are 17 x 53

Prime factors of 749 are 7 x 107

Prime factors of 670 are 2 x 5 x 67

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

Steps to Calculate GCD of 975, 901, 749, 670 using LCM Formula

Given numbers are 975, 901, 749, 670

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

Apply this formula for all numbers.

Step1:

LCM(975, 901) = 878475

GCD(975, 901) = ( 975 x 901 ) / 878475

= 975 / 901

= 975


Step2:

LCM(1, 749) = 749

GCD(1, 749) = ( 1 x 749 ) / 749

= 1 / 749

= 1


Step3:

LCM(1, 670) = 670

GCD(1, 670) = ( 1 x 670 ) / 670

= 1 / 670

= 1


So, Greatest Common Divisor of 975, 901, 749, 670 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 975, 901, 749, 670

Given numbers are 975, 901, 749, 670
The greatest common divisor of numbers 975, 901, 749, 670 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 975, 901, 749, 670 is 1.

FAQs on GCD of 975, 901, 749, 670 Calculator

1. What is the GCD of 975, 901, 749, 670?

GCD of given numbers 975, 901, 749, 670 is 1


2. How to calculate the greatest common divisor of 975, 901, 749, 670?

We can find the highest common divisor of 975, 901, 749, 670 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 975, 901, 749, 670 i.e 1.


3. How can I use the GCD of 975, 901, 749, 670Calculator?

Out the numbers 975, 901, 749, 670 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.