Highest Common Factor of 5417, 7027 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 5417, 7027 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5417, 7027 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 5417, 7027 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 5417, 7027 is 1.

HCF(5417, 7027) = 1

HCF of 5417, 7027 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 5417, 7027 is 1.

Highest Common Factor of 5417,7027 using Euclid's algorithm

Highest Common Factor of 5417,7027 is 1

Step 1: Since 7027 > 5417, we apply the division lemma to 7027 and 5417, to get

7027 = 5417 x 1 + 1610

Step 2: Since the reminder 5417 ≠ 0, we apply division lemma to 1610 and 5417, to get

5417 = 1610 x 3 + 587

Step 3: We consider the new divisor 1610 and the new remainder 587, and apply the division lemma to get

1610 = 587 x 2 + 436

We consider the new divisor 587 and the new remainder 436,and apply the division lemma to get

587 = 436 x 1 + 151

We consider the new divisor 436 and the new remainder 151,and apply the division lemma to get

436 = 151 x 2 + 134

We consider the new divisor 151 and the new remainder 134,and apply the division lemma to get

151 = 134 x 1 + 17

We consider the new divisor 134 and the new remainder 17,and apply the division lemma to get

134 = 17 x 7 + 15

We consider the new divisor 17 and the new remainder 15,and apply the division lemma to get

17 = 15 x 1 + 2

We consider the new divisor 15 and the new remainder 2,and apply the division lemma to get

15 = 2 x 7 + 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 5417 and 7027 is 1

Notice that 1 = HCF(2,1) = HCF(15,2) = HCF(17,15) = HCF(134,17) = HCF(151,134) = HCF(436,151) = HCF(587,436) = HCF(1610,587) = HCF(5417,1610) = HCF(7027,5417) .

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Frequently Asked Questions on HCF of 5417, 7027 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 5417, 7027?

Answer: HCF of 5417, 7027 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5417, 7027 using Euclid's Algorithm?

Answer: For arbitrary numbers 5417, 7027 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.