Highest Common Factor of 7371, 9143, 75290 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 7371, 9143, 75290 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7371, 9143, 75290 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 7371, 9143, 75290 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 7371, 9143, 75290 is 1.

HCF(7371, 9143, 75290) = 1

HCF of 7371, 9143, 75290 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 7371, 9143, 75290 is 1.

Highest Common Factor of 7371,9143,75290 using Euclid's algorithm

Highest Common Factor of 7371,9143,75290 is 1

Step 1: Since 9143 > 7371, we apply the division lemma to 9143 and 7371, to get

9143 = 7371 x 1 + 1772

Step 2: Since the reminder 7371 ≠ 0, we apply division lemma to 1772 and 7371, to get

7371 = 1772 x 4 + 283

Step 3: We consider the new divisor 1772 and the new remainder 283, and apply the division lemma to get

1772 = 283 x 6 + 74

We consider the new divisor 283 and the new remainder 74,and apply the division lemma to get

283 = 74 x 3 + 61

We consider the new divisor 74 and the new remainder 61,and apply the division lemma to get

74 = 61 x 1 + 13

We consider the new divisor 61 and the new remainder 13,and apply the division lemma to get

61 = 13 x 4 + 9

We consider the new divisor 13 and the new remainder 9,and apply the division lemma to get

13 = 9 x 1 + 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 7371 and 9143 is 1

Notice that 1 = HCF(4,1) = HCF(9,4) = HCF(13,9) = HCF(61,13) = HCF(74,61) = HCF(283,74) = HCF(1772,283) = HCF(7371,1772) = HCF(9143,7371) .

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

Step 1: Since 75290 > 1, we apply the division lemma to 75290 and 1, to get

75290 = 1 x 75290 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 75290 is 1

Notice that 1 = HCF(75290,1) .

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Frequently Asked Questions on HCF of 7371, 9143, 75290 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 7371, 9143, 75290?

Answer: HCF of 7371, 9143, 75290 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7371, 9143, 75290 using Euclid's Algorithm?

Answer: For arbitrary numbers 7371, 9143, 75290 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.