Highest Common Factor of 313, 579, 888, 730 using Euclid's algorithm

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 313, 579, 888, 730 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 313, 579, 888, 730 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.

Consider we have numbers 313, 579, 888, 730 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b

Highest common factor (HCF) of 313, 579, 888, 730 is 1.

HCF(313, 579, 888, 730) = 1

HCF of 313, 579, 888, 730 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

HCF of:

Highest common factor (HCF) of 313, 579, 888, 730 is 1.

Highest Common Factor of 313,579,888,730 using Euclid's algorithm

Highest Common Factor of 313,579,888,730 is 1

Step 1: Since 579 > 313, we apply the division lemma to 579 and 313, to get

579 = 313 x 1 + 266

Step 2: Since the reminder 313 ≠ 0, we apply division lemma to 266 and 313, to get

313 = 266 x 1 + 47

Step 3: We consider the new divisor 266 and the new remainder 47, and apply the division lemma to get

266 = 47 x 5 + 31

We consider the new divisor 47 and the new remainder 31,and apply the division lemma to get

47 = 31 x 1 + 16

We consider the new divisor 31 and the new remainder 16,and apply the division lemma to get

31 = 16 x 1 + 15

We consider the new divisor 16 and the new remainder 15,and apply the division lemma to get

16 = 15 x 1 + 1

We consider the new divisor 15 and the new remainder 1,and apply the division lemma to get

15 = 1 x 15 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 313 and 579 is 1

Notice that 1 = HCF(15,1) = HCF(16,15) = HCF(31,16) = HCF(47,31) = HCF(266,47) = HCF(313,266) = HCF(579,313) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 888 > 1, we apply the division lemma to 888 and 1, to get

888 = 1 x 888 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 888 is 1

Notice that 1 = HCF(888,1) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 730 > 1, we apply the division lemma to 730 and 1, to get

730 = 1 x 730 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 730 is 1

Notice that 1 = HCF(730,1) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 313, 579, 888, 730 using Euclid's Algorithm

1. What is the Euclid division algorithm?

Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.

2. what is the HCF of 313, 579, 888, 730?

Answer: HCF of 313, 579, 888, 730 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 313, 579, 888, 730 using Euclid's Algorithm?

Answer: For arbitrary numbers 313, 579, 888, 730 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.