Highest Common Factor of 8499, 9518 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 8499, 9518 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8499, 9518 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 8499, 9518 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 8499, 9518 is 1.

HCF(8499, 9518) = 1

HCF of 8499, 9518 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 8499, 9518 is 1.

Highest Common Factor of 8499,9518 using Euclid's algorithm

Highest Common Factor of 8499,9518 is 1

Step 1: Since 9518 > 8499, we apply the division lemma to 9518 and 8499, to get

9518 = 8499 x 1 + 1019

Step 2: Since the reminder 8499 ≠ 0, we apply division lemma to 1019 and 8499, to get

8499 = 1019 x 8 + 347

Step 3: We consider the new divisor 1019 and the new remainder 347, and apply the division lemma to get

1019 = 347 x 2 + 325

We consider the new divisor 347 and the new remainder 325,and apply the division lemma to get

347 = 325 x 1 + 22

We consider the new divisor 325 and the new remainder 22,and apply the division lemma to get

325 = 22 x 14 + 17

We consider the new divisor 22 and the new remainder 17,and apply the division lemma to get

22 = 17 x 1 + 5

We consider the new divisor 17 and the new remainder 5,and apply the division lemma to get

17 = 5 x 3 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 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 8499 and 9518 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(17,5) = HCF(22,17) = HCF(325,22) = HCF(347,325) = HCF(1019,347) = HCF(8499,1019) = HCF(9518,8499) .

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Frequently Asked Questions on HCF of 8499, 9518 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 8499, 9518?

Answer: HCF of 8499, 9518 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8499, 9518 using Euclid's Algorithm?

Answer: For arbitrary numbers 8499, 9518 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.