Highest Common Factor of 6473, 7882 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 6473, 7882 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6473, 7882 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 6473, 7882 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 6473, 7882 is 1.

HCF(6473, 7882) = 1

HCF of 6473, 7882 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 6473, 7882 is 1.

Highest Common Factor of 6473,7882 using Euclid's algorithm

Highest Common Factor of 6473,7882 is 1

Step 1: Since 7882 > 6473, we apply the division lemma to 7882 and 6473, to get

7882 = 6473 x 1 + 1409

Step 2: Since the reminder 6473 ≠ 0, we apply division lemma to 1409 and 6473, to get

6473 = 1409 x 4 + 837

Step 3: We consider the new divisor 1409 and the new remainder 837, and apply the division lemma to get

1409 = 837 x 1 + 572

We consider the new divisor 837 and the new remainder 572,and apply the division lemma to get

837 = 572 x 1 + 265

We consider the new divisor 572 and the new remainder 265,and apply the division lemma to get

572 = 265 x 2 + 42

We consider the new divisor 265 and the new remainder 42,and apply the division lemma to get

265 = 42 x 6 + 13

We consider the new divisor 42 and the new remainder 13,and apply the division lemma to get

42 = 13 x 3 + 3

We consider the new divisor 13 and the new remainder 3,and apply the division lemma to get

13 = 3 x 4 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6473 and 7882 is 1

Notice that 1 = HCF(3,1) = HCF(13,3) = HCF(42,13) = HCF(265,42) = HCF(572,265) = HCF(837,572) = HCF(1409,837) = HCF(6473,1409) = HCF(7882,6473) .

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Frequently Asked Questions on HCF of 6473, 7882 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 6473, 7882?

Answer: HCF of 6473, 7882 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6473, 7882 using Euclid's Algorithm?

Answer: For arbitrary numbers 6473, 7882 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.