Highest Common Factor of 4921, 8809 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 4921, 8809 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4921, 8809 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 4921, 8809 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 4921, 8809 is 1.

HCF(4921, 8809) = 1

HCF of 4921, 8809 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 4921, 8809 is 1.

Highest Common Factor of 4921,8809 using Euclid's algorithm

Highest Common Factor of 4921,8809 is 1

Step 1: Since 8809 > 4921, we apply the division lemma to 8809 and 4921, to get

8809 = 4921 x 1 + 3888

Step 2: Since the reminder 4921 ≠ 0, we apply division lemma to 3888 and 4921, to get

4921 = 3888 x 1 + 1033

Step 3: We consider the new divisor 3888 and the new remainder 1033, and apply the division lemma to get

3888 = 1033 x 3 + 789

We consider the new divisor 1033 and the new remainder 789,and apply the division lemma to get

1033 = 789 x 1 + 244

We consider the new divisor 789 and the new remainder 244,and apply the division lemma to get

789 = 244 x 3 + 57

We consider the new divisor 244 and the new remainder 57,and apply the division lemma to get

244 = 57 x 4 + 16

We consider the new divisor 57 and the new remainder 16,and apply the division lemma to get

57 = 16 x 3 + 9

We consider the new divisor 16 and the new remainder 9,and apply the division lemma to get

16 = 9 x 1 + 7

We consider the new divisor 9 and the new remainder 7,and apply the division lemma to get

9 = 7 x 1 + 2

We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get

7 = 2 x 3 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4921 and 8809 is 1

Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(9,7) = HCF(16,9) = HCF(57,16) = HCF(244,57) = HCF(789,244) = HCF(1033,789) = HCF(3888,1033) = HCF(4921,3888) = HCF(8809,4921) .

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Frequently Asked Questions on HCF of 4921, 8809 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 4921, 8809?

Answer: HCF of 4921, 8809 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4921, 8809 using Euclid's Algorithm?

Answer: For arbitrary numbers 4921, 8809 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.