GCD of 140, 720, 385, 686 Calculator

Given Input numbers are 140, 720, 385, 686

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 720 :

The positive integer divisors of 720 that completely divides 720 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 385 :

The positive integer divisors of 385 that completely divides 385 are.

1, 5, 7, 11, 35, 55, 77, 385

Divisors of 686 :

The positive integer divisors of 686 that completely divides 686 are.

1, 2, 7, 14, 49, 98, 343, 686

GCD of numbers is the greatest common divisor

So, the GCD (140, 720, 385, 686) = 1.

Given numbers are 140, 720, 385, 686

The list of prime factors of all numbers are

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

Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 385 are 5 x 7 x 11

Prime factors of 686 are 2 x 7 x 7 x 7

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

Given numbers are 140, 720, 385, 686

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

Apply this formula for all numbers.

Step1:

LCM(140, 720) = 5040

GCD(140, 720) = ( 140 x 720 ) / 5040

= 140 / 720

= 140

Step2:

LCM(20, 385) = 1540

GCD(20, 385) = ( 20 x 385 ) / 1540

= 20 / 385

= 20

Step3:

LCM(5, 686) = 3430

GCD(5, 686) = ( 5 x 686 ) / 3430

= 5 / 686

= 5

So, Greatest Common Divisor of 140, 720, 385, 686 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 705, 840, 943, 425
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Given numbers are 140, 720, 385, 686
The greatest common divisor of numbers 140, 720, 385, 686 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 140, 720, 385, 686 is 1.

1. What is the GCD of 140, 720, 385, 686?

GCD of given numbers 140, 720, 385, 686 is 1

2. How to calculate the greatest common divisor of 140, 720, 385, 686?

We can find the highest common divisor of 140, 720, 385, 686 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, 720, 385, 686 i.e 1.

3. How can I use the GCD of 140, 720, 385, 686Calculator?

Out the numbers 140, 720, 385, 686 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.