Highest Common Factor of 7209, 9227, 34262 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 7209, 9227, 34262 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7209, 9227, 34262 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 7209, 9227, 34262 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 7209, 9227, 34262 is 1.

HCF(7209, 9227, 34262) = 1

HCF of 7209, 9227, 34262 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 7209, 9227, 34262 is 1.

Highest Common Factor of 7209,9227,34262 using Euclid's algorithm

Highest Common Factor of 7209,9227,34262 is 1

Step 1: Since 9227 > 7209, we apply the division lemma to 9227 and 7209, to get

9227 = 7209 x 1 + 2018

Step 2: Since the reminder 7209 ≠ 0, we apply division lemma to 2018 and 7209, to get

7209 = 2018 x 3 + 1155

Step 3: We consider the new divisor 2018 and the new remainder 1155, and apply the division lemma to get

2018 = 1155 x 1 + 863

We consider the new divisor 1155 and the new remainder 863,and apply the division lemma to get

1155 = 863 x 1 + 292

We consider the new divisor 863 and the new remainder 292,and apply the division lemma to get

863 = 292 x 2 + 279

We consider the new divisor 292 and the new remainder 279,and apply the division lemma to get

292 = 279 x 1 + 13

We consider the new divisor 279 and the new remainder 13,and apply the division lemma to get

279 = 13 x 21 + 6

We consider the new divisor 13 and the new remainder 6,and apply the division lemma to get

13 = 6 x 2 + 1

We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get

6 = 1 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7209 and 9227 is 1

Notice that 1 = HCF(6,1) = HCF(13,6) = HCF(279,13) = HCF(292,279) = HCF(863,292) = HCF(1155,863) = HCF(2018,1155) = HCF(7209,2018) = HCF(9227,7209) .

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

Step 1: Since 34262 > 1, we apply the division lemma to 34262 and 1, to get

34262 = 1 x 34262 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 34262 is 1

Notice that 1 = HCF(34262,1) .

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Frequently Asked Questions on HCF of 7209, 9227, 34262 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 7209, 9227, 34262?

Answer: HCF of 7209, 9227, 34262 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7209, 9227, 34262 using Euclid's Algorithm?

Answer: For arbitrary numbers 7209, 9227, 34262 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.