Highest Common Factor of 8316, 4909 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 8316, 4909 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8316, 4909 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 8316, 4909 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 8316, 4909 is 1.

HCF(8316, 4909) = 1

HCF of 8316, 4909 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 8316, 4909 is 1.

Highest Common Factor of 8316,4909 using Euclid's algorithm

Highest Common Factor of 8316,4909 is 1

Step 1: Since 8316 > 4909, we apply the division lemma to 8316 and 4909, to get

8316 = 4909 x 1 + 3407

Step 2: Since the reminder 4909 ≠ 0, we apply division lemma to 3407 and 4909, to get

4909 = 3407 x 1 + 1502

Step 3: We consider the new divisor 3407 and the new remainder 1502, and apply the division lemma to get

3407 = 1502 x 2 + 403

We consider the new divisor 1502 and the new remainder 403,and apply the division lemma to get

1502 = 403 x 3 + 293

We consider the new divisor 403 and the new remainder 293,and apply the division lemma to get

403 = 293 x 1 + 110

We consider the new divisor 293 and the new remainder 110,and apply the division lemma to get

293 = 110 x 2 + 73

We consider the new divisor 110 and the new remainder 73,and apply the division lemma to get

110 = 73 x 1 + 37

We consider the new divisor 73 and the new remainder 37,and apply the division lemma to get

73 = 37 x 1 + 36

We consider the new divisor 37 and the new remainder 36,and apply the division lemma to get

37 = 36 x 1 + 1

We consider the new divisor 36 and the new remainder 1,and apply the division lemma to get

36 = 1 x 36 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8316 and 4909 is 1

Notice that 1 = HCF(36,1) = HCF(37,36) = HCF(73,37) = HCF(110,73) = HCF(293,110) = HCF(403,293) = HCF(1502,403) = HCF(3407,1502) = HCF(4909,3407) = HCF(8316,4909) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 8316, 4909 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 8316, 4909?

Answer: HCF of 8316, 4909 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8316, 4909 using Euclid's Algorithm?

Answer: For arbitrary numbers 8316, 4909 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.