Highest Common Factor of 8348, 4997 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 8348, 4997 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8348, 4997 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 8348, 4997 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 8348, 4997 is 1.

HCF(8348, 4997) = 1

HCF of 8348, 4997 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 8348, 4997 is 1.

Highest Common Factor of 8348,4997 using Euclid's algorithm

Highest Common Factor of 8348,4997 is 1

Step 1: Since 8348 > 4997, we apply the division lemma to 8348 and 4997, to get

8348 = 4997 x 1 + 3351

Step 2: Since the reminder 4997 ≠ 0, we apply division lemma to 3351 and 4997, to get

4997 = 3351 x 1 + 1646

Step 3: We consider the new divisor 3351 and the new remainder 1646, and apply the division lemma to get

3351 = 1646 x 2 + 59

We consider the new divisor 1646 and the new remainder 59,and apply the division lemma to get

1646 = 59 x 27 + 53

We consider the new divisor 59 and the new remainder 53,and apply the division lemma to get

59 = 53 x 1 + 6

We consider the new divisor 53 and the new remainder 6,and apply the division lemma to get

53 = 6 x 8 + 5

We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get

6 = 5 x 1 + 1

We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8348 and 4997 is 1

Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(53,6) = HCF(59,53) = HCF(1646,59) = HCF(3351,1646) = HCF(4997,3351) = HCF(8348,4997) .

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Frequently Asked Questions on HCF of 8348, 4997 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 8348, 4997?

Answer: HCF of 8348, 4997 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8348, 4997 using Euclid's Algorithm?

Answer: For arbitrary numbers 8348, 4997 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.