Highest Common Factor of 6346, 8667, 48530 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 6346, 8667, 48530 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6346, 8667, 48530 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 6346, 8667, 48530 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 6346, 8667, 48530 is 1.

HCF(6346, 8667, 48530) = 1

HCF of 6346, 8667, 48530 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 6346, 8667, 48530 is 1.

Highest Common Factor of 6346,8667,48530 using Euclid's algorithm

Highest Common Factor of 6346,8667,48530 is 1

Step 1: Since 8667 > 6346, we apply the division lemma to 8667 and 6346, to get

8667 = 6346 x 1 + 2321

Step 2: Since the reminder 6346 ≠ 0, we apply division lemma to 2321 and 6346, to get

6346 = 2321 x 2 + 1704

Step 3: We consider the new divisor 2321 and the new remainder 1704, and apply the division lemma to get

2321 = 1704 x 1 + 617

We consider the new divisor 1704 and the new remainder 617,and apply the division lemma to get

1704 = 617 x 2 + 470

We consider the new divisor 617 and the new remainder 470,and apply the division lemma to get

617 = 470 x 1 + 147

We consider the new divisor 470 and the new remainder 147,and apply the division lemma to get

470 = 147 x 3 + 29

We consider the new divisor 147 and the new remainder 29,and apply the division lemma to get

147 = 29 x 5 + 2

We consider the new divisor 29 and the new remainder 2,and apply the division lemma to get

29 = 2 x 14 + 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 6346 and 8667 is 1

Notice that 1 = HCF(2,1) = HCF(29,2) = HCF(147,29) = HCF(470,147) = HCF(617,470) = HCF(1704,617) = HCF(2321,1704) = HCF(6346,2321) = HCF(8667,6346) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 48530 > 1, we apply the division lemma to 48530 and 1, to get

48530 = 1 x 48530 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 48530 is 1

Notice that 1 = HCF(48530,1) .

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Frequently Asked Questions on HCF of 6346, 8667, 48530 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 6346, 8667, 48530?

Answer: HCF of 6346, 8667, 48530 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6346, 8667, 48530 using Euclid's Algorithm?

Answer: For arbitrary numbers 6346, 8667, 48530 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.