Highest Common Factor of 5258, 9351, 70306 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 5258, 9351, 70306 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5258, 9351, 70306 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 5258, 9351, 70306 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 5258, 9351, 70306 is 1.

HCF(5258, 9351, 70306) = 1

HCF of 5258, 9351, 70306 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 5258, 9351, 70306 is 1.

Highest Common Factor of 5258,9351,70306 using Euclid's algorithm

Highest Common Factor of 5258,9351,70306 is 1

Step 1: Since 9351 > 5258, we apply the division lemma to 9351 and 5258, to get

9351 = 5258 x 1 + 4093

Step 2: Since the reminder 5258 ≠ 0, we apply division lemma to 4093 and 5258, to get

5258 = 4093 x 1 + 1165

Step 3: We consider the new divisor 4093 and the new remainder 1165, and apply the division lemma to get

4093 = 1165 x 3 + 598

We consider the new divisor 1165 and the new remainder 598,and apply the division lemma to get

1165 = 598 x 1 + 567

We consider the new divisor 598 and the new remainder 567,and apply the division lemma to get

598 = 567 x 1 + 31

We consider the new divisor 567 and the new remainder 31,and apply the division lemma to get

567 = 31 x 18 + 9

We consider the new divisor 31 and the new remainder 9,and apply the division lemma to get

31 = 9 x 3 + 4

We consider the new divisor 9 and the new remainder 4,and apply the division lemma to get

9 = 4 x 2 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5258 and 9351 is 1

Notice that 1 = HCF(4,1) = HCF(9,4) = HCF(31,9) = HCF(567,31) = HCF(598,567) = HCF(1165,598) = HCF(4093,1165) = HCF(5258,4093) = HCF(9351,5258) .

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

Step 1: Since 70306 > 1, we apply the division lemma to 70306 and 1, to get

70306 = 1 x 70306 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 70306 is 1

Notice that 1 = HCF(70306,1) .

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Frequently Asked Questions on HCF of 5258, 9351, 70306 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 5258, 9351, 70306?

Answer: HCF of 5258, 9351, 70306 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5258, 9351, 70306 using Euclid's Algorithm?

Answer: For arbitrary numbers 5258, 9351, 70306 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.