Highest Common Factor of 4709, 8118 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 4709, 8118 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4709, 8118 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 4709, 8118 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 4709, 8118 is 1.

HCF(4709, 8118) = 1

HCF of 4709, 8118 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 4709, 8118 is 1.

Highest Common Factor of 4709,8118 using Euclid's algorithm

Highest Common Factor of 4709,8118 is 1

Step 1: Since 8118 > 4709, we apply the division lemma to 8118 and 4709, to get

8118 = 4709 x 1 + 3409

Step 2: Since the reminder 4709 ≠ 0, we apply division lemma to 3409 and 4709, to get

4709 = 3409 x 1 + 1300

Step 3: We consider the new divisor 3409 and the new remainder 1300, and apply the division lemma to get

3409 = 1300 x 2 + 809

We consider the new divisor 1300 and the new remainder 809,and apply the division lemma to get

1300 = 809 x 1 + 491

We consider the new divisor 809 and the new remainder 491,and apply the division lemma to get

809 = 491 x 1 + 318

We consider the new divisor 491 and the new remainder 318,and apply the division lemma to get

491 = 318 x 1 + 173

We consider the new divisor 318 and the new remainder 173,and apply the division lemma to get

318 = 173 x 1 + 145

We consider the new divisor 173 and the new remainder 145,and apply the division lemma to get

173 = 145 x 1 + 28

We consider the new divisor 145 and the new remainder 28,and apply the division lemma to get

145 = 28 x 5 + 5

We consider the new divisor 28 and the new remainder 5,and apply the division lemma to get

28 = 5 x 5 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 4709 and 8118 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(28,5) = HCF(145,28) = HCF(173,145) = HCF(318,173) = HCF(491,318) = HCF(809,491) = HCF(1300,809) = HCF(3409,1300) = HCF(4709,3409) = HCF(8118,4709) .

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Frequently Asked Questions on HCF of 4709, 8118 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 4709, 8118?

Answer: HCF of 4709, 8118 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4709, 8118 using Euclid's Algorithm?

Answer: For arbitrary numbers 4709, 8118 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.