GCD of 140, 276, 700, 724 Calculator

Given Input numbers are 140, 276, 700, 724

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 276 :

The positive integer divisors of 276 that completely divides 276 are.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

Divisors of 700 :

The positive integer divisors of 700 that completely divides 700 are.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

GCD of numbers is the greatest common divisor

So, the GCD (140, 276, 700, 724) = 4.

Given numbers are 140, 276, 700, 724

The list of prime factors of all numbers are

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

Prime factors of 276 are 2 x 2 x 3 x 23

Prime factors of 700 are 2 x 2 x 5 x 5 x 7

Prime factors of 724 are 2 x 2 x 181

The highest common occurrence is 2²

Therefore, GCD of 140, 276, 700, 724 is 4.

Given numbers are 140, 276, 700, 724

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

Apply this formula for all numbers.

Step1:

LCM(140, 276) = 9660

GCD(140, 276) = ( 140 x 276 ) / 9660

= 140 / 276

= 140

Step2:

LCM(4, 700) = 700

GCD(4, 700) = ( 4 x 700 ) / 700

= 4 / 700

= 4

Step3:

LCM(4, 724) = 724

GCD(4, 724) = ( 4 x 724 ) / 724

= 4 / 724

= 4

So, Greatest Common Divisor of 140, 276, 700, 724 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 183, 303, 438, 705
• GCD of 247, 817, 852, 856
• GCD of 198, 661, 565, 212
• GCD of 280, 204, 237, 998
• GCD of 727, 219, 461, 249

Given numbers are 140, 276, 700, 724
The greatest common divisor of numbers 140, 276, 700, 724 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 140, 276, 700, 724 is 4.

1. What is the GCD of 140, 276, 700, 724?

GCD of given numbers 140, 276, 700, 724 is 4

2. How to calculate the greatest common divisor of 140, 276, 700, 724?

We can find the highest common divisor of 140, 276, 700, 724 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, 276, 700, 724 i.e 4.

3. How can I use the GCD of 140, 276, 700, 724Calculator?

Out the numbers 140, 276, 700, 724 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.