Highest Common Factor of 4384, 7810 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 4384, 7810 i.e. 2 the largest integer that leaves a remainder zero for all numbers.

HCF of 4384, 7810 is 2 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 4384, 7810 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 4384, 7810 is 2.

HCF(4384, 7810) = 2

HCF of 4384, 7810 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 4384, 7810 is 2.

Highest Common Factor of 4384,7810 using Euclid's algorithm

Highest Common Factor of 4384,7810 is 2

Step 1: Since 7810 > 4384, we apply the division lemma to 7810 and 4384, to get

7810 = 4384 x 1 + 3426

Step 2: Since the reminder 4384 ≠ 0, we apply division lemma to 3426 and 4384, to get

4384 = 3426 x 1 + 958

Step 3: We consider the new divisor 3426 and the new remainder 958, and apply the division lemma to get

3426 = 958 x 3 + 552

We consider the new divisor 958 and the new remainder 552,and apply the division lemma to get

958 = 552 x 1 + 406

We consider the new divisor 552 and the new remainder 406,and apply the division lemma to get

552 = 406 x 1 + 146

We consider the new divisor 406 and the new remainder 146,and apply the division lemma to get

406 = 146 x 2 + 114

We consider the new divisor 146 and the new remainder 114,and apply the division lemma to get

146 = 114 x 1 + 32

We consider the new divisor 114 and the new remainder 32,and apply the division lemma to get

114 = 32 x 3 + 18

We consider the new divisor 32 and the new remainder 18,and apply the division lemma to get

32 = 18 x 1 + 14

We consider the new divisor 18 and the new remainder 14,and apply the division lemma to get

18 = 14 x 1 + 4

We consider the new divisor 14 and the new remainder 4,and apply the division lemma to get

14 = 4 x 3 + 2

We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get

4 = 2 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 4384 and 7810 is 2

Notice that 2 = HCF(4,2) = HCF(14,4) = HCF(18,14) = HCF(32,18) = HCF(114,32) = HCF(146,114) = HCF(406,146) = HCF(552,406) = HCF(958,552) = HCF(3426,958) = HCF(4384,3426) = HCF(7810,4384) .

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Frequently Asked Questions on HCF of 4384, 7810 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 4384, 7810?

Answer: HCF of 4384, 7810 is 2 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4384, 7810 using Euclid's Algorithm?

Answer: For arbitrary numbers 4384, 7810 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.