GCD of 140, 169, 821, 784 Calculator

Given Input numbers are 140, 169, 821, 784

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

Divisors of 140 :

The positive integer divisors of 140 that completely divides 140 are.

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

Divisors of 169 :

The positive integer divisors of 169 that completely divides 169 are.

1, 13, 169

Divisors of 821 :

The positive integer divisors of 821 that completely divides 821 are.

1, 821

Divisors of 784 :

The positive integer divisors of 784 that completely divides 784 are.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

GCD of numbers is the greatest common divisor

So, the GCD (140, 169, 821, 784) = 1.

Given numbers are 140, 169, 821, 784

The list of prime factors of all numbers are

Prime factors of 140 are 2 x 2 x 5 x 7

Prime factors of 169 are 13 x 13

Prime factors of 821 are 821

Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7

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

Given numbers are 140, 169, 821, 784

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

Apply this formula for all numbers.

Step1:

LCM(140, 169) = 23660

GCD(140, 169) = ( 140 x 169 ) / 23660

= 140 / 169

= 140

Step2:

LCM(1, 821) = 821

GCD(1, 821) = ( 1 x 821 ) / 821

= 1 / 821

= 1

Step3:

LCM(1, 784) = 784

GCD(1, 784) = ( 1 x 784 ) / 784

= 1 / 784

= 1

So, Greatest Common Divisor of 140, 169, 821, 784 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 787, 627, 417, 741
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• GCD of 463, 796, 712, 210

Given numbers are 140, 169, 821, 784
The greatest common divisor of numbers 140, 169, 821, 784 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 140, 169, 821, 784 is 1.

1. What is the GCD of 140, 169, 821, 784?

GCD of given numbers 140, 169, 821, 784 is 1

2. How to calculate the greatest common divisor of 140, 169, 821, 784?

We can find the highest common divisor of 140, 169, 821, 784 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 140, 169, 821, 784 i.e 1.

3. How can I use the GCD of 140, 169, 821, 784Calculator?

Out the numbers 140, 169, 821, 784 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.