GCD of 140, 704, 248, 718 Calculator

Given Input numbers are 140, 704, 248, 718

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 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 248 :

The positive integer divisors of 248 that completely divides 248 are.

1, 2, 4, 8, 31, 62, 124, 248

Divisors of 718 :

The positive integer divisors of 718 that completely divides 718 are.

1, 2, 359, 718

GCD of numbers is the greatest common divisor

So, the GCD (140, 704, 248, 718) = 2.

Given numbers are 140, 704, 248, 718

The list of prime factors of all numbers are

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

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 248 are 2 x 2 x 2 x 31

Prime factors of 718 are 2 x 359

The highest common occurrence is 2¹

Therefore, GCD of 140, 704, 248, 718 is 2.

Given numbers are 140, 704, 248, 718

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

Apply this formula for all numbers.

Step1:

LCM(140, 704) = 24640

GCD(140, 704) = ( 140 x 704 ) / 24640

= 140 / 704

= 140

Step2:

LCM(4, 248) = 248

GCD(4, 248) = ( 4 x 248 ) / 248

= 4 / 248

= 4

Step3:

LCM(4, 718) = 1436

GCD(4, 718) = ( 4 x 718 ) / 1436

= 4 / 718

= 4

So, Greatest Common Divisor of 140, 704, 248, 718 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 130, 750, 461, 995
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Given numbers are 140, 704, 248, 718
The greatest common divisor of numbers 140, 704, 248, 718 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 140, 704, 248, 718 is 2.

1. What is the GCD of 140, 704, 248, 718?

GCD of given numbers 140, 704, 248, 718 is 2

2. How to calculate the greatest common divisor of 140, 704, 248, 718?

We can find the highest common divisor of 140, 704, 248, 718 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, 704, 248, 718 i.e 2.

3. How can I use the GCD of 140, 704, 248, 718Calculator?

Out the numbers 140, 704, 248, 718 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.