Highest Common Factor of 7704, 4865 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 7704, 4865 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7704, 4865 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 7704, 4865 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 7704, 4865 is 1.

HCF(7704, 4865) = 1

HCF of 7704, 4865 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

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Highest common factor (HCF) of 7704, 4865 is 1.

Highest Common Factor of 7704,4865 using Euclid's algorithm

Highest Common Factor of 7704,4865 is 1

Step 1: Since 7704 > 4865, we apply the division lemma to 7704 and 4865, to get

7704 = 4865 x 1 + 2839

Step 2: Since the reminder 4865 ≠ 0, we apply division lemma to 2839 and 4865, to get

4865 = 2839 x 1 + 2026

Step 3: We consider the new divisor 2839 and the new remainder 2026, and apply the division lemma to get

2839 = 2026 x 1 + 813

We consider the new divisor 2026 and the new remainder 813,and apply the division lemma to get

2026 = 813 x 2 + 400

We consider the new divisor 813 and the new remainder 400,and apply the division lemma to get

813 = 400 x 2 + 13

We consider the new divisor 400 and the new remainder 13,and apply the division lemma to get

400 = 13 x 30 + 10

We consider the new divisor 13 and the new remainder 10,and apply the division lemma to get

13 = 10 x 1 + 3

We consider the new divisor 10 and the new remainder 3,and apply the division lemma to get

10 = 3 x 3 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7704 and 4865 is 1

Notice that 1 = HCF(3,1) = HCF(10,3) = HCF(13,10) = HCF(400,13) = HCF(813,400) = HCF(2026,813) = HCF(2839,2026) = HCF(4865,2839) = HCF(7704,4865) .

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Frequently Asked Questions on HCF of 7704, 4865 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 7704, 4865?

Answer: HCF of 7704, 4865 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7704, 4865 using Euclid's Algorithm?

Answer: For arbitrary numbers 7704, 4865 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.