Highest Common Factor of 9440, 8141, 93296 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 9440, 8141, 93296 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9440, 8141, 93296 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 9440, 8141, 93296 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 9440, 8141, 93296 is 1.

HCF(9440, 8141, 93296) = 1

HCF of 9440, 8141, 93296 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 9440, 8141, 93296 is 1.

Highest Common Factor of 9440,8141,93296 using Euclid's algorithm

Highest Common Factor of 9440,8141,93296 is 1

Step 1: Since 9440 > 8141, we apply the division lemma to 9440 and 8141, to get

9440 = 8141 x 1 + 1299

Step 2: Since the reminder 8141 ≠ 0, we apply division lemma to 1299 and 8141, to get

8141 = 1299 x 6 + 347

Step 3: We consider the new divisor 1299 and the new remainder 347, and apply the division lemma to get

1299 = 347 x 3 + 258

We consider the new divisor 347 and the new remainder 258,and apply the division lemma to get

347 = 258 x 1 + 89

We consider the new divisor 258 and the new remainder 89,and apply the division lemma to get

258 = 89 x 2 + 80

We consider the new divisor 89 and the new remainder 80,and apply the division lemma to get

89 = 80 x 1 + 9

We consider the new divisor 80 and the new remainder 9,and apply the division lemma to get

80 = 9 x 8 + 8

We consider the new divisor 9 and the new remainder 8,and apply the division lemma to get

9 = 8 x 1 + 1

We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get

8 = 1 x 8 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9440 and 8141 is 1

Notice that 1 = HCF(8,1) = HCF(9,8) = HCF(80,9) = HCF(89,80) = HCF(258,89) = HCF(347,258) = HCF(1299,347) = HCF(8141,1299) = HCF(9440,8141) .

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

Step 1: Since 93296 > 1, we apply the division lemma to 93296 and 1, to get

93296 = 1 x 93296 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 93296 is 1

Notice that 1 = HCF(93296,1) .

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Frequently Asked Questions on HCF of 9440, 8141, 93296 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 9440, 8141, 93296?

Answer: HCF of 9440, 8141, 93296 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9440, 8141, 93296 using Euclid's Algorithm?

Answer: For arbitrary numbers 9440, 8141, 93296 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.