Highest Common Factor of 843, 4814, 2585 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 843, 4814, 2585 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 843, 4814, 2585 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 843, 4814, 2585 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 843, 4814, 2585 is 1.

HCF(843, 4814, 2585) = 1

HCF of 843, 4814, 2585 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 843, 4814, 2585 is 1.

Highest Common Factor of 843,4814,2585 using Euclid's algorithm

Highest Common Factor of 843,4814,2585 is 1

Step 1: Since 4814 > 843, we apply the division lemma to 4814 and 843, to get

4814 = 843 x 5 + 599

Step 2: Since the reminder 843 ≠ 0, we apply division lemma to 599 and 843, to get

843 = 599 x 1 + 244

Step 3: We consider the new divisor 599 and the new remainder 244, and apply the division lemma to get

599 = 244 x 2 + 111

We consider the new divisor 244 and the new remainder 111,and apply the division lemma to get

244 = 111 x 2 + 22

We consider the new divisor 111 and the new remainder 22,and apply the division lemma to get

111 = 22 x 5 + 1

We consider the new divisor 22 and the new remainder 1,and apply the division lemma to get

22 = 1 x 22 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 843 and 4814 is 1

Notice that 1 = HCF(22,1) = HCF(111,22) = HCF(244,111) = HCF(599,244) = HCF(843,599) = HCF(4814,843) .

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

Step 1: Since 2585 > 1, we apply the division lemma to 2585 and 1, to get

2585 = 1 x 2585 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 2585 is 1

Notice that 1 = HCF(2585,1) .

HCF using Euclid's Algorithm Calculation Examples

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

Frequently Asked Questions on HCF of 843, 4814, 2585 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 843, 4814, 2585?

Answer: HCF of 843, 4814, 2585 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 843, 4814, 2585 using Euclid's Algorithm?

Answer: For arbitrary numbers 843, 4814, 2585 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.