GCD of 714, 686, 140, 677 Calculator

Given Input numbers are 714, 686, 140, 677

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

Divisors of 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 686 :

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

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

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 677 :

The positive integer divisors of 677 that completely divides 677 are.

1, 677

GCD of numbers is the greatest common divisor

So, the GCD (714, 686, 140, 677) = 1.

Given numbers are 714, 686, 140, 677

The list of prime factors of all numbers are

Prime factors of 714 are 2 x 3 x 7 x 17

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

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

Prime factors of 677 are 677

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

Given numbers are 714, 686, 140, 677

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

Apply this formula for all numbers.

Step1:

LCM(714, 686) = 34986

GCD(714, 686) = ( 714 x 686 ) / 34986

= 714 / 686

= 714

Step2:

LCM(14, 140) = 140

GCD(14, 140) = ( 14 x 140 ) / 140

= 14 / 140

= 14

Step3:

LCM(14, 677) = 9478

GCD(14, 677) = ( 14 x 677 ) / 9478

= 14 / 677

= 14

So, Greatest Common Divisor of 714, 686, 140, 677 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 203, 404, 436, 309
• GCD of 461, 623, 554, 911
• GCD of 992, 796, 439, 274
• GCD of 505, 181, 465, 835
• GCD of 973, 180, 915, 553

Given numbers are 714, 686, 140, 677
The greatest common divisor of numbers 714, 686, 140, 677 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 714, 686, 140, 677 is 1.

1. What is the GCD of 714, 686, 140, 677?

GCD of given numbers 714, 686, 140, 677 is 1

2. How to calculate the greatest common divisor of 714, 686, 140, 677?

We can find the highest common divisor of 714, 686, 140, 677 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 714, 686, 140, 677 i.e 1.

3. How can I use the GCD of 714, 686, 140, 677Calculator?

Out the numbers 714, 686, 140, 677 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.