Highest Common Factor of 1417, 4542 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 1417, 4542 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 1417, 4542 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 1417, 4542 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 1417, 4542 is 1.

HCF(1417, 4542) = 1

HCF of 1417, 4542 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

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Highest common factor (HCF) of 1417, 4542 is 1.

Highest Common Factor of 1417,4542 using Euclid's algorithm

Highest Common Factor of 1417,4542 is 1

Step 1: Since 4542 > 1417, we apply the division lemma to 4542 and 1417, to get

4542 = 1417 x 3 + 291

Step 2: Since the reminder 1417 ≠ 0, we apply division lemma to 291 and 1417, to get

1417 = 291 x 4 + 253

Step 3: We consider the new divisor 291 and the new remainder 253, and apply the division lemma to get

291 = 253 x 1 + 38

We consider the new divisor 253 and the new remainder 38,and apply the division lemma to get

253 = 38 x 6 + 25

We consider the new divisor 38 and the new remainder 25,and apply the division lemma to get

38 = 25 x 1 + 13

We consider the new divisor 25 and the new remainder 13,and apply the division lemma to get

25 = 13 x 1 + 12

We consider the new divisor 13 and the new remainder 12,and apply the division lemma to get

13 = 12 x 1 + 1

We consider the new divisor 12 and the new remainder 1,and apply the division lemma to get

12 = 1 x 12 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1417 and 4542 is 1

Notice that 1 = HCF(12,1) = HCF(13,12) = HCF(25,13) = HCF(38,25) = HCF(253,38) = HCF(291,253) = HCF(1417,291) = HCF(4542,1417) .

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Frequently Asked Questions on HCF of 1417, 4542 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 1417, 4542?

Answer: HCF of 1417, 4542 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 1417, 4542 using Euclid's Algorithm?

Answer: For arbitrary numbers 1417, 4542 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.