Highest Common Factor of 4969, 8824 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 4969, 8824 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4969, 8824 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 4969, 8824 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 4969, 8824 is 1.

HCF(4969, 8824) = 1

HCF of 4969, 8824 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 4969, 8824 is 1.

Highest Common Factor of 4969,8824 using Euclid's algorithm

Highest Common Factor of 4969,8824 is 1

Step 1: Since 8824 > 4969, we apply the division lemma to 8824 and 4969, to get

8824 = 4969 x 1 + 3855

Step 2: Since the reminder 4969 ≠ 0, we apply division lemma to 3855 and 4969, to get

4969 = 3855 x 1 + 1114

Step 3: We consider the new divisor 3855 and the new remainder 1114, and apply the division lemma to get

3855 = 1114 x 3 + 513

We consider the new divisor 1114 and the new remainder 513,and apply the division lemma to get

1114 = 513 x 2 + 88

We consider the new divisor 513 and the new remainder 88,and apply the division lemma to get

513 = 88 x 5 + 73

We consider the new divisor 88 and the new remainder 73,and apply the division lemma to get

88 = 73 x 1 + 15

We consider the new divisor 73 and the new remainder 15,and apply the division lemma to get

73 = 15 x 4 + 13

We consider the new divisor 15 and the new remainder 13,and apply the division lemma to get

15 = 13 x 1 + 2

We consider the new divisor 13 and the new remainder 2,and apply the division lemma to get

13 = 2 x 6 + 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 4969 and 8824 is 1

Notice that 1 = HCF(2,1) = HCF(13,2) = HCF(15,13) = HCF(73,15) = HCF(88,73) = HCF(513,88) = HCF(1114,513) = HCF(3855,1114) = HCF(4969,3855) = HCF(8824,4969) .

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Frequently Asked Questions on HCF of 4969, 8824 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 4969, 8824?

Answer: HCF of 4969, 8824 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4969, 8824 using Euclid's Algorithm?

Answer: For arbitrary numbers 4969, 8824 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.