Highest Common Factor of 9931, 4129, 93994 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 9931, 4129, 93994 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9931, 4129, 93994 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 9931, 4129, 93994 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 9931, 4129, 93994 is 1.

HCF(9931, 4129, 93994) = 1

HCF of 9931, 4129, 93994 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 9931, 4129, 93994 is 1.

Highest Common Factor of 9931,4129,93994 using Euclid's algorithm

Highest Common Factor of 9931,4129,93994 is 1

Step 1: Since 9931 > 4129, we apply the division lemma to 9931 and 4129, to get

9931 = 4129 x 2 + 1673

Step 2: Since the reminder 4129 ≠ 0, we apply division lemma to 1673 and 4129, to get

4129 = 1673 x 2 + 783

Step 3: We consider the new divisor 1673 and the new remainder 783, and apply the division lemma to get

1673 = 783 x 2 + 107

We consider the new divisor 783 and the new remainder 107,and apply the division lemma to get

783 = 107 x 7 + 34

We consider the new divisor 107 and the new remainder 34,and apply the division lemma to get

107 = 34 x 3 + 5

We consider the new divisor 34 and the new remainder 5,and apply the division lemma to get

34 = 5 x 6 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 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 9931 and 4129 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(34,5) = HCF(107,34) = HCF(783,107) = HCF(1673,783) = HCF(4129,1673) = HCF(9931,4129) .

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

Step 1: Since 93994 > 1, we apply the division lemma to 93994 and 1, to get

93994 = 1 x 93994 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 93994 is 1

Notice that 1 = HCF(93994,1) .

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Frequently Asked Questions on HCF of 9931, 4129, 93994 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 9931, 4129, 93994?

Answer: HCF of 9931, 4129, 93994 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9931, 4129, 93994 using Euclid's Algorithm?

Answer: For arbitrary numbers 9931, 4129, 93994 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.