Highest Common Factor of 4287, 9398, 21084 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 4287, 9398, 21084 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4287, 9398, 21084 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 4287, 9398, 21084 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 4287, 9398, 21084 is 1.

HCF(4287, 9398, 21084) = 1

HCF of 4287, 9398, 21084 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 4287, 9398, 21084 is 1.

Highest Common Factor of 4287,9398,21084 using Euclid's algorithm

Highest Common Factor of 4287,9398,21084 is 1

Step 1: Since 9398 > 4287, we apply the division lemma to 9398 and 4287, to get

9398 = 4287 x 2 + 824

Step 2: Since the reminder 4287 ≠ 0, we apply division lemma to 824 and 4287, to get

4287 = 824 x 5 + 167

Step 3: We consider the new divisor 824 and the new remainder 167, and apply the division lemma to get

824 = 167 x 4 + 156

We consider the new divisor 167 and the new remainder 156,and apply the division lemma to get

167 = 156 x 1 + 11

We consider the new divisor 156 and the new remainder 11,and apply the division lemma to get

156 = 11 x 14 + 2

We consider the new divisor 11 and the new remainder 2,and apply the division lemma to get

11 = 2 x 5 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4287 and 9398 is 1

Notice that 1 = HCF(2,1) = HCF(11,2) = HCF(156,11) = HCF(167,156) = HCF(824,167) = HCF(4287,824) = HCF(9398,4287) .

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

Step 1: Since 21084 > 1, we apply the division lemma to 21084 and 1, to get

21084 = 1 x 21084 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 21084 is 1

Notice that 1 = HCF(21084,1) .

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Frequently Asked Questions on HCF of 4287, 9398, 21084 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 4287, 9398, 21084?

Answer: HCF of 4287, 9398, 21084 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4287, 9398, 21084 using Euclid's Algorithm?

Answer: For arbitrary numbers 4287, 9398, 21084 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.