GCD of 760, 700, 160, 828 Calculator

Given Input numbers are 760, 700, 160, 828

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

Divisors of 760 :

The positive integer divisors of 760 that completely divides 760 are.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

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 160 :

The positive integer divisors of 160 that completely divides 160 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

GCD of numbers is the greatest common divisor

So, the GCD (760, 700, 160, 828) = 4.

Given numbers are 760, 700, 160, 828

The list of prime factors of all numbers are

Prime factors of 760 are 2 x 2 x 2 x 5 x 19

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

Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

The highest common occurrence is 2²

Therefore, GCD of 760, 700, 160, 828 is 4.

Given numbers are 760, 700, 160, 828

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

Apply this formula for all numbers.

Step1:

LCM(760, 700) = 26600

GCD(760, 700) = ( 760 x 700 ) / 26600

= 760 / 700

= 760

Step2:

LCM(20, 160) = 160

GCD(20, 160) = ( 20 x 160 ) / 160

= 20 / 160

= 20

Step3:

LCM(20, 828) = 4140

GCD(20, 828) = ( 20 x 828 ) / 4140

= 20 / 828

= 20

So, Greatest Common Divisor of 760, 700, 160, 828 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 931, 675, 997, 429
• GCD of 588, 836, 198, 955
• GCD of 353, 759, 656, 416
• GCD of 523, 838, 561, 148
• GCD of 591, 451, 394, 774

Given numbers are 760, 700, 160, 828
The greatest common divisor of numbers 760, 700, 160, 828 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 760, 700, 160, 828 is 4.

1. What is the GCD of 760, 700, 160, 828?

GCD of given numbers 760, 700, 160, 828 is 4

2. How to calculate the greatest common divisor of 760, 700, 160, 828?

We can find the highest common divisor of 760, 700, 160, 828 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 760, 700, 160, 828 i.e 4.

3. How can I use the GCD of 760, 700, 160, 828Calculator?

Out the numbers 760, 700, 160, 828 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.