Highest Common Factor of 7498, 4543 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 7498, 4543 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7498, 4543 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 7498, 4543 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 7498, 4543 is 1.

HCF(7498, 4543) = 1

HCF of 7498, 4543 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 7498, 4543 is 1.

Highest Common Factor of 7498,4543 using Euclid's algorithm

Highest Common Factor of 7498,4543 is 1

Step 1: Since 7498 > 4543, we apply the division lemma to 7498 and 4543, to get

7498 = 4543 x 1 + 2955

Step 2: Since the reminder 4543 ≠ 0, we apply division lemma to 2955 and 4543, to get

4543 = 2955 x 1 + 1588

Step 3: We consider the new divisor 2955 and the new remainder 1588, and apply the division lemma to get

2955 = 1588 x 1 + 1367

We consider the new divisor 1588 and the new remainder 1367,and apply the division lemma to get

1588 = 1367 x 1 + 221

We consider the new divisor 1367 and the new remainder 221,and apply the division lemma to get

1367 = 221 x 6 + 41

We consider the new divisor 221 and the new remainder 41,and apply the division lemma to get

221 = 41 x 5 + 16

We consider the new divisor 41 and the new remainder 16,and apply the division lemma to get

41 = 16 x 2 + 9

We consider the new divisor 16 and the new remainder 9,and apply the division lemma to get

16 = 9 x 1 + 7

We consider the new divisor 9 and the new remainder 7,and apply the division lemma to get

9 = 7 x 1 + 2

We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get

7 = 2 x 3 + 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 7498 and 4543 is 1

Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(9,7) = HCF(16,9) = HCF(41,16) = HCF(221,41) = HCF(1367,221) = HCF(1588,1367) = HCF(2955,1588) = HCF(4543,2955) = HCF(7498,4543) .

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Frequently Asked Questions on HCF of 7498, 4543 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 7498, 4543?

Answer: HCF of 7498, 4543 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7498, 4543 using Euclid's Algorithm?

Answer: For arbitrary numbers 7498, 4543 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.