Highest Common Factor of 8433, 9649 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 8433, 9649 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8433, 9649 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 8433, 9649 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 8433, 9649 is 1.

HCF(8433, 9649) = 1

HCF of 8433, 9649 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 8433, 9649 is 1.

Highest Common Factor of 8433,9649 using Euclid's algorithm

Highest Common Factor of 8433,9649 is 1

Step 1: Since 9649 > 8433, we apply the division lemma to 9649 and 8433, to get

9649 = 8433 x 1 + 1216

Step 2: Since the reminder 8433 ≠ 0, we apply division lemma to 1216 and 8433, to get

8433 = 1216 x 6 + 1137

Step 3: We consider the new divisor 1216 and the new remainder 1137, and apply the division lemma to get

1216 = 1137 x 1 + 79

We consider the new divisor 1137 and the new remainder 79,and apply the division lemma to get

1137 = 79 x 14 + 31

We consider the new divisor 79 and the new remainder 31,and apply the division lemma to get

79 = 31 x 2 + 17

We consider the new divisor 31 and the new remainder 17,and apply the division lemma to get

31 = 17 x 1 + 14

We consider the new divisor 17 and the new remainder 14,and apply the division lemma to get

17 = 14 x 1 + 3

We consider the new divisor 14 and the new remainder 3,and apply the division lemma to get

14 = 3 x 4 + 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 8433 and 9649 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(14,3) = HCF(17,14) = HCF(31,17) = HCF(79,31) = HCF(1137,79) = HCF(1216,1137) = HCF(8433,1216) = HCF(9649,8433) .

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Frequently Asked Questions on HCF of 8433, 9649 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 8433, 9649?

Answer: HCF of 8433, 9649 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8433, 9649 using Euclid's Algorithm?

Answer: For arbitrary numbers 8433, 9649 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.