Highest Common Factor of 849, 8717, 7813 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 849, 8717, 7813 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 849, 8717, 7813 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 849, 8717, 7813 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 849, 8717, 7813 is 1.

HCF(849, 8717, 7813) = 1

HCF of 849, 8717, 7813 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 849, 8717, 7813 is 1.

Highest Common Factor of 849,8717,7813 using Euclid's algorithm

Highest Common Factor of 849,8717,7813 is 1

Step 1: Since 8717 > 849, we apply the division lemma to 8717 and 849, to get

8717 = 849 x 10 + 227

Step 2: Since the reminder 849 ≠ 0, we apply division lemma to 227 and 849, to get

849 = 227 x 3 + 168

Step 3: We consider the new divisor 227 and the new remainder 168, and apply the division lemma to get

227 = 168 x 1 + 59

We consider the new divisor 168 and the new remainder 59,and apply the division lemma to get

168 = 59 x 2 + 50

We consider the new divisor 59 and the new remainder 50,and apply the division lemma to get

59 = 50 x 1 + 9

We consider the new divisor 50 and the new remainder 9,and apply the division lemma to get

50 = 9 x 5 + 5

We consider the new divisor 9 and the new remainder 5,and apply the division lemma to get

9 = 5 x 1 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 849 and 8717 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(9,5) = HCF(50,9) = HCF(59,50) = HCF(168,59) = HCF(227,168) = HCF(849,227) = HCF(8717,849) .

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

Step 1: Since 7813 > 1, we apply the division lemma to 7813 and 1, to get

7813 = 1 x 7813 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 7813 is 1

Notice that 1 = HCF(7813,1) .

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Frequently Asked Questions on HCF of 849, 8717, 7813 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 849, 8717, 7813?

Answer: HCF of 849, 8717, 7813 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 849, 8717, 7813 using Euclid's Algorithm?

Answer: For arbitrary numbers 849, 8717, 7813 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.