Highest Common Factor of 4650, 9739 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 4650, 9739 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4650, 9739 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 4650, 9739 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 4650, 9739 is 1.

HCF(4650, 9739) = 1

HCF of 4650, 9739 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 4650, 9739 is 1.

Highest Common Factor of 4650,9739 using Euclid's algorithm

Highest Common Factor of 4650,9739 is 1

Step 1: Since 9739 > 4650, we apply the division lemma to 9739 and 4650, to get

9739 = 4650 x 2 + 439

Step 2: Since the reminder 4650 ≠ 0, we apply division lemma to 439 and 4650, to get

4650 = 439 x 10 + 260

Step 3: We consider the new divisor 439 and the new remainder 260, and apply the division lemma to get

439 = 260 x 1 + 179

We consider the new divisor 260 and the new remainder 179,and apply the division lemma to get

260 = 179 x 1 + 81

We consider the new divisor 179 and the new remainder 81,and apply the division lemma to get

179 = 81 x 2 + 17

We consider the new divisor 81 and the new remainder 17,and apply the division lemma to get

81 = 17 x 4 + 13

We consider the new divisor 17 and the new remainder 13,and apply the division lemma to get

17 = 13 x 1 + 4

We consider the new divisor 13 and the new remainder 4,and apply the division lemma to get

13 = 4 x 3 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4650 and 9739 is 1

Notice that 1 = HCF(4,1) = HCF(13,4) = HCF(17,13) = HCF(81,17) = HCF(179,81) = HCF(260,179) = HCF(439,260) = HCF(4650,439) = HCF(9739,4650) .

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Frequently Asked Questions on HCF of 4650, 9739 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 4650, 9739?

Answer: HCF of 4650, 9739 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4650, 9739 using Euclid's Algorithm?

Answer: For arbitrary numbers 4650, 9739 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.