GCD of 140, 154, 176, 316 Calculator

Given Input numbers are 140, 154, 176, 316

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 154 :

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

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

Divisors of 176 :

The positive integer divisors of 176 that completely divides 176 are.

1, 2, 4, 8, 11, 16, 22, 44, 88, 176

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 (140, 154, 176, 316) = 2.

Given numbers are 140, 154, 176, 316

The list of prime factors of all numbers are

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

Prime factors of 154 are 2 x 7 x 11

Prime factors of 176 are 2 x 2 x 2 x 2 x 11

Prime factors of 316 are 2 x 2 x 79

The highest common occurrence is 2¹

Therefore, GCD of 140, 154, 176, 316 is 2.

Given numbers are 140, 154, 176, 316

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

Apply this formula for all numbers.

Step1:

LCM(140, 154) = 1540

GCD(140, 154) = ( 140 x 154 ) / 1540

= 140 / 154

= 140

Step2:

LCM(14, 176) = 1232

GCD(14, 176) = ( 14 x 176 ) / 1232

= 14 / 176

= 14

Step3:

LCM(2, 316) = 316

GCD(2, 316) = ( 2 x 316 ) / 316

= 2 / 316

= 2

So, Greatest Common Divisor of 140, 154, 176, 316 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 363, 731, 155, 608
• GCD of 149, 988, 381, 591
• GCD of 224, 807, 618, 184
• GCD of 582, 675, 271, 913
• GCD of 329, 142, 130, 314

Given numbers are 140, 154, 176, 316
The greatest common divisor of numbers 140, 154, 176, 316 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 140, 154, 176, 316 is 2.

1. What is the GCD of 140, 154, 176, 316?

GCD of given numbers 140, 154, 176, 316 is 2

2. How to calculate the greatest common divisor of 140, 154, 176, 316?

We can find the highest common divisor of 140, 154, 176, 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 140, 154, 176, 316 i.e 2.

3. How can I use the GCD of 140, 154, 176, 316Calculator?

Out the numbers 140, 154, 176, 316 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.