GCD of 686, 749, 154 Calculator

Given Input numbers are 686, 749, 154

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

Divisors of 686 :

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

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

Divisors of 749 :

The positive integer divisors of 749 that completely divides 749 are.

1, 7, 107, 749

Divisors of 154 :

The positive integer divisors of 154 that completely divides 154 are.

1, 2, 7, 11, 14, 22, 77, 154

GCD of numbers is the greatest common divisor

So, the GCD (686, 749, 154) = 7.

Given numbers are 686, 749, 154

The list of prime factors of all numbers are

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

Prime factors of 749 are 7 x 107

Prime factors of 154 are 2 x 7 x 11

The highest common occurrence is 7¹

Therefore, GCD of 686, 749, 154 is 7.

Given numbers are 686, 749, 154

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

Apply this formula for all numbers.

Step1:

LCM(686, 749) = 73402

GCD(686, 749) = ( 686 x 749 ) / 73402

= 686 / 749

= 686

Step2:

LCM(7, 154) = 154

GCD(7, 154) = ( 7 x 154 ) / 154

= 7 / 154

= 7

So, Greatest Common Divisor of 686, 749, 154 is 7

Here are some samples of GCD of Numbers calculations.

• GCD of 931, 816, 682
• GCD of 152, 886, 129
• GCD of 960, 285, 991
• GCD of 387, 872, 873
• GCD of 768, 774, 672

Given numbers are 686, 749, 154
The greatest common divisor of numbers 686, 749, 154 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 686, 749, 154 is 7.

1. What is the GCD of 686, 749, 154?

GCD of given numbers 686, 749, 154 is 7

2. How to calculate the greatest common divisor of 686, 749, 154?

We can find the highest common divisor of 686, 749, 154 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 686, 749, 154 i.e 7.

3. How can I use the GCD of 686, 749, 154Calculator?

Out the numbers 686, 749, 154 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.