GCD of 268, 548, 80, 714 Calculator

Given Input numbers are 268, 548, 80, 714

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

Divisors of 268 :

The positive integer divisors of 268 that completely divides 268 are.

1, 2, 4, 67, 134, 268

Divisors of 548 :

The positive integer divisors of 548 that completely divides 548 are.

1, 2, 4, 137, 274, 548

Divisors of 80 :

The positive integer divisors of 80 that completely divides 80 are.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80

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

GCD of numbers is the greatest common divisor

So, the GCD (268, 548, 80, 714) = 2.

Given numbers are 268, 548, 80, 714

The list of prime factors of all numbers are

Prime factors of 268 are 2 x 2 x 67

Prime factors of 548 are 2 x 2 x 137

Prime factors of 80 are 2 x 2 x 2 x 2 x 5

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

The highest common occurrence is 2¹

Therefore, GCD of 268, 548, 80, 714 is 2.

Given numbers are 268, 548, 80, 714

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

Apply this formula for all numbers.

Step1:

LCM(268, 548) = 36716

GCD(268, 548) = ( 268 x 548 ) / 36716

= 268 / 548

= 268

Step2:

LCM(4, 80) = 80

GCD(4, 80) = ( 4 x 80 ) / 80

= 4 / 80

= 4

Step3:

LCM(4, 714) = 1428

GCD(4, 714) = ( 4 x 714 ) / 1428

= 4 / 714

= 4

So, Greatest Common Divisor of 268, 548, 80, 714 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 740, 595, 29, 125
• GCD of 332, 562, 22, 829
• GCD of 459, 551, 46, 136
• GCD of 507, 487, 69, 526
• GCD of 109, 857, 75, 960

Given numbers are 268, 548, 80, 714
The greatest common divisor of numbers 268, 548, 80, 714 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 268, 548, 80, 714 is 2.

1. What is the GCD of 268, 548, 80, 714?

GCD of given numbers 268, 548, 80, 714 is 2

2. How to calculate the greatest common divisor of 268, 548, 80, 714?

We can find the highest common divisor of 268, 548, 80, 714 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 268, 548, 80, 714 i.e 2.

3. How can I use the GCD of 268, 548, 80, 714Calculator?

Out the numbers 268, 548, 80, 714 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.