GCD of 268, 340, 735, 316 Calculator

Given Input numbers are 268, 340, 735, 316

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 340 :

The positive integer divisors of 340 that completely divides 340 are.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 735 :

The positive integer divisors of 735 that completely divides 735 are.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 316 :

The positive integer divisors of 316 that completely divides 316 are.

1, 2, 4, 79, 158, 316

GCD of numbers is the greatest common divisor

So, the GCD (268, 340, 735, 316) = 1.

Given numbers are 268, 340, 735, 316

The list of prime factors of all numbers are

Prime factors of 268 are 2 x 2 x 67

Prime factors of 340 are 2 x 2 x 5 x 17

Prime factors of 735 are 3 x 5 x 7 x 7

Prime factors of 316 are 2 x 2 x 79

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

Given numbers are 268, 340, 735, 316

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

Apply this formula for all numbers.

Step1:

LCM(268, 340) = 22780

GCD(268, 340) = ( 268 x 340 ) / 22780

= 268 / 340

= 268

Step2:

LCM(4, 735) = 2940

GCD(4, 735) = ( 4 x 735 ) / 2940

= 4 / 735

= 4

Step3:

LCM(1, 316) = 316

GCD(1, 316) = ( 1 x 316 ) / 316

= 1 / 316

= 1

So, Greatest Common Divisor of 268, 340, 735, 316 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 185, 461, 989, 408
• GCD of 346, 560, 363, 201
• GCD of 928, 630, 189, 392
• GCD of 515, 900, 686, 990
• GCD of 184, 693, 683, 983

Given numbers are 268, 340, 735, 316
The greatest common divisor of numbers 268, 340, 735, 316 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 268, 340, 735, 316 is 1.

1. What is the GCD of 268, 340, 735, 316?

GCD of given numbers 268, 340, 735, 316 is 1

2. How to calculate the greatest common divisor of 268, 340, 735, 316?

We can find the highest common divisor of 268, 340, 735, 316 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, 340, 735, 316 i.e 1.

3. How can I use the GCD of 268, 340, 735, 316Calculator?

Out the numbers 268, 340, 735, 316 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.