Highest Common Factor of 4428, 8379, 99859 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 4428, 8379, 99859 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4428, 8379, 99859 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 4428, 8379, 99859 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 4428, 8379, 99859 is 1.

HCF(4428, 8379, 99859) = 1

HCF of 4428, 8379, 99859 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 4428, 8379, 99859 is 1.

Highest Common Factor of 4428,8379,99859 using Euclid's algorithm

Highest Common Factor of 4428,8379,99859 is 1

Step 1: Since 8379 > 4428, we apply the division lemma to 8379 and 4428, to get

8379 = 4428 x 1 + 3951

Step 2: Since the reminder 4428 ≠ 0, we apply division lemma to 3951 and 4428, to get

4428 = 3951 x 1 + 477

Step 3: We consider the new divisor 3951 and the new remainder 477, and apply the division lemma to get

3951 = 477 x 8 + 135

We consider the new divisor 477 and the new remainder 135,and apply the division lemma to get

477 = 135 x 3 + 72

We consider the new divisor 135 and the new remainder 72,and apply the division lemma to get

135 = 72 x 1 + 63

We consider the new divisor 72 and the new remainder 63,and apply the division lemma to get

72 = 63 x 1 + 9

We consider the new divisor 63 and the new remainder 9,and apply the division lemma to get

63 = 9 x 7 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 9, the HCF of 4428 and 8379 is 9

Notice that 9 = HCF(63,9) = HCF(72,63) = HCF(135,72) = HCF(477,135) = HCF(3951,477) = HCF(4428,3951) = HCF(8379,4428) .

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

Step 1: Since 99859 > 9, we apply the division lemma to 99859 and 9, to get

99859 = 9 x 11095 + 4

Step 2: Since the reminder 9 ≠ 0, we apply division lemma to 4 and 9, to get

9 = 4 x 2 + 1

Step 3: 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 9 and 99859 is 1

Notice that 1 = HCF(4,1) = HCF(9,4) = HCF(99859,9) .

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Frequently Asked Questions on HCF of 4428, 8379, 99859 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 4428, 8379, 99859?

Answer: HCF of 4428, 8379, 99859 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4428, 8379, 99859 using Euclid's Algorithm?

Answer: For arbitrary numbers 4428, 8379, 99859 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.