GCD of 70, 77, 21 Calculator

Given Input numbers are 70, 77, 21

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

Divisors of 70

List of positive integer divisors of 70 that divides 70 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70

Divisors of 77

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

1, 7, 11, 77

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Greatest Common Divisior

We found the divisors of 70, 77, 21 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 70, 77, 21 is 7.

Therefore, GCD of numbers 70, 77, 21 is 7

Given Input Data is 70, 77, 21

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

Prime Factorization of 70 is 2 x 5 x 7

Prime Factorization of 77 is 7 x 11

Prime Factorization of 21 is 3 x 7

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(70, 77) = 770

GCD(70, 77) = ( 70 x 77 ) / 770

GCD(70, 77) = 5390 / 770

GCD(70, 77) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 21

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

LCM(7, 21) = 21

GCD(7, 21) = ( 7 x 21 ) / 21

GCD(7, 21) = 147 / 21

GCD(7, 21) = 7

GCD of 70, 77, 21 is 7

Here are some samples of GCD of Numbers calculations.

• GCD of 52, 40, 55
• GCD of 20, 62, 32
• GCD of 86, 12, 79
• GCD of 10, 64, 27
• GCD of 78, 83, 67

1. What is the GCD of 70, 77, 21?

GCD of 70, 77, 21 is 7

2. Where do I get the detailed procedure to find GCD of 70, 77, 21?

You can find a detailed procedure to find GCD of 70, 77, 21 on our page.

3. How to find GCD of 70, 77, 21 on a calculator?

You can find the GCD of 70, 77, 21 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.