GCD of 961, 919, 67, 974 Calculator

Given Input numbers are 961, 919, 67, 974

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 961

List of positive integer divisors of 961 that divides 961 without a remainder.

1, 31, 961

Divisors of 919

List of positive integer divisors of 919 that divides 919 without a remainder.

1, 919

Divisors of 67

List of positive integer divisors of 67 that divides 67 without a remainder.

1, 67

Divisors of 974

List of positive integer divisors of 974 that divides 974 without a remainder.

1, 2, 487, 974

Greatest Common Divisior

We found the divisors of 961, 919, 67, 974 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 961, 919, 67, 974 is 1.

Therefore, GCD of numbers 961, 919, 67, 974 is 1

Given Input Data is 961, 919, 67, 974

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 961 is 31 x 31

Prime Factorization of 919 is 919

Prime Factorization of 67 is 67

Prime Factorization of 974 is 2 x 487

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

Step1:

Let's calculate the GCD of first two numbers

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

LCM(961, 919) = 883159

GCD(961, 919) = ( 961 x 919 ) / 883159

GCD(961, 919) = 883159 / 883159

GCD(961, 919) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 67

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

LCM(1, 67) = 67

GCD(1, 67) = ( 1 x 67 ) / 67

GCD(1, 67) = 67 / 67

GCD(1, 67) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 974

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

LCM(1, 974) = 974

GCD(1, 974) = ( 1 x 974 ) / 974

GCD(1, 974) = 974 / 974

GCD(1, 974) = 1

GCD of 961, 919, 67, 974 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 136, 343, 96, 986
• GCD of 196, 739, 74, 816
• GCD of 777, 827, 33, 251
• GCD of 649, 305, 74, 170
• GCD of 551, 573, 49, 927

1. What is the GCD of 961, 919, 67, 974?

GCD of 961, 919, 67, 974 is 1

2. Where do I get the detailed procedure to find GCD of 961, 919, 67, 974?

You can find a detailed procedure to find GCD of 961, 919, 67, 974 on our page.

3. How to find GCD of 961, 919, 67, 974 on a calculator?

You can find the GCD of 961, 919, 67, 974 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.