Highest Common Factor of 9847, 6460 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 9847, 6460 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9847, 6460 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 9847, 6460 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 9847, 6460 is 1.

HCF(9847, 6460) = 1

HCF of 9847, 6460 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 9847, 6460 is 1.

Highest Common Factor of 9847,6460 using Euclid's algorithm

Highest Common Factor of 9847,6460 is 1

Step 1: Since 9847 > 6460, we apply the division lemma to 9847 and 6460, to get

9847 = 6460 x 1 + 3387

Step 2: Since the reminder 6460 ≠ 0, we apply division lemma to 3387 and 6460, to get

6460 = 3387 x 1 + 3073

Step 3: We consider the new divisor 3387 and the new remainder 3073, and apply the division lemma to get

3387 = 3073 x 1 + 314

We consider the new divisor 3073 and the new remainder 314,and apply the division lemma to get

3073 = 314 x 9 + 247

We consider the new divisor 314 and the new remainder 247,and apply the division lemma to get

314 = 247 x 1 + 67

We consider the new divisor 247 and the new remainder 67,and apply the division lemma to get

247 = 67 x 3 + 46

We consider the new divisor 67 and the new remainder 46,and apply the division lemma to get

67 = 46 x 1 + 21

We consider the new divisor 46 and the new remainder 21,and apply the division lemma to get

46 = 21 x 2 + 4

We consider the new divisor 21 and the new remainder 4,and apply the division lemma to get

21 = 4 x 5 + 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 9847 and 6460 is 1

Notice that 1 = HCF(4,1) = HCF(21,4) = HCF(46,21) = HCF(67,46) = HCF(247,67) = HCF(314,247) = HCF(3073,314) = HCF(3387,3073) = HCF(6460,3387) = HCF(9847,6460) .

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Frequently Asked Questions on HCF of 9847, 6460 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 9847, 6460?

Answer: HCF of 9847, 6460 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9847, 6460 using Euclid's Algorithm?

Answer: For arbitrary numbers 9847, 6460 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.