GCD of 350, 498, 74, 140 Calculator

Given Input numbers are 350, 498, 74, 140

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

Divisors of 350 :

The positive integer divisors of 350 that completely divides 350 are.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 498 :

The positive integer divisors of 498 that completely divides 498 are.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 74 :

The positive integer divisors of 74 that completely divides 74 are.

1, 2, 37, 74

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

GCD of numbers is the greatest common divisor

So, the GCD (350, 498, 74, 140) = 2.

Given numbers are 350, 498, 74, 140

The list of prime factors of all numbers are

Prime factors of 350 are 2 x 5 x 5 x 7

Prime factors of 498 are 2 x 3 x 83

Prime factors of 74 are 2 x 37

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

The highest common occurrence is 2¹

Therefore, GCD of 350, 498, 74, 140 is 2.

Given numbers are 350, 498, 74, 140

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

Apply this formula for all numbers.

Step1:

LCM(350, 498) = 87150

GCD(350, 498) = ( 350 x 498 ) / 87150

= 350 / 498

= 350

Step2:

LCM(2, 74) = 74

GCD(2, 74) = ( 2 x 74 ) / 74

= 2 / 74

= 2

Step3:

LCM(2, 140) = 140

GCD(2, 140) = ( 2 x 140 ) / 140

= 2 / 140

= 2

So, Greatest Common Divisor of 350, 498, 74, 140 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 929, 238, 75, 687
• GCD of 429, 265, 35, 802
• GCD of 315, 226, 87, 772
• GCD of 683, 519, 73, 463
• GCD of 634, 793, 31, 357

Given numbers are 350, 498, 74, 140
The greatest common divisor of numbers 350, 498, 74, 140 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 350, 498, 74, 140 is 2.

1. What is the GCD of 350, 498, 74, 140?

GCD of given numbers 350, 498, 74, 140 is 2

2. How to calculate the greatest common divisor of 350, 498, 74, 140?

We can find the highest common divisor of 350, 498, 74, 140 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 350, 498, 74, 140 i.e 2.

3. How can I use the GCD of 350, 498, 74, 140Calculator?

Out the numbers 350, 498, 74, 140 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.