GCD of 77, 742, 140, 616 Calculator

Given Input numbers are 77, 742, 140, 616

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

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 140

List of positive integer divisors of 140 that divides 140 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Divisors of 616

List of positive integer divisors of 616 that divides 616 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Greatest Common Divisior

We found the divisors of 77, 742, 140, 616 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 77, 742, 140, 616 is 7.

Therefore, GCD of numbers 77, 742, 140, 616 is 7

Given Input Data is 77, 742, 140, 616

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

Prime Factorization of 77 is 7 x 11

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 140 is 2 x 2 x 5 x 7

Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11

Highest common occurrences in the given inputs are 7¹

Multiplying them we get the GCD as 7

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(77, 742) = 8162

GCD(77, 742) = ( 77 x 742 ) / 8162

GCD(77, 742) = 57134 / 8162

GCD(77, 742) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 140

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

LCM(7, 140) = 140

GCD(7, 140) = ( 7 x 140 ) / 140

GCD(7, 140) = 980 / 140

GCD(7, 140) = 7

Step3:

Here we consider the GCD from the above i.e. 7 as first number and the next as 616

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

LCM(7, 616) = 616

GCD(7, 616) = ( 7 x 616 ) / 616

GCD(7, 616) = 4312 / 616

GCD(7, 616) = 7

GCD of 77, 742, 140, 616 is 7

Here are some samples of GCD of Numbers calculations.

• GCD of 75, 728, 924, 189
• GCD of 81, 541, 669, 113
• GCD of 10, 520, 373, 221
• GCD of 20, 455, 729, 486
• GCD of 14, 401, 554, 504

1. What is the GCD of 77, 742, 140, 616?

GCD of 77, 742, 140, 616 is 7

2. Where do I get the detailed procedure to find GCD of 77, 742, 140, 616?

You can find a detailed procedure to find GCD of 77, 742, 140, 616 on our page.

3. How to find GCD of 77, 742, 140, 616 on a calculator?

You can find the GCD of 77, 742, 140, 616 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.