Highest Common Factor of 1093, 4976, 19564 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 1093, 4976, 19564 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 1093, 4976, 19564 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 1093, 4976, 19564 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 1093, 4976, 19564 is 1.

HCF(1093, 4976, 19564) = 1

HCF of 1093, 4976, 19564 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 1093, 4976, 19564 is 1.

Highest Common Factor of 1093,4976,19564 using Euclid's algorithm

Highest Common Factor of 1093,4976,19564 is 1

Step 1: Since 4976 > 1093, we apply the division lemma to 4976 and 1093, to get

4976 = 1093 x 4 + 604

Step 2: Since the reminder 1093 ≠ 0, we apply division lemma to 604 and 1093, to get

1093 = 604 x 1 + 489

Step 3: We consider the new divisor 604 and the new remainder 489, and apply the division lemma to get

604 = 489 x 1 + 115

We consider the new divisor 489 and the new remainder 115,and apply the division lemma to get

489 = 115 x 4 + 29

We consider the new divisor 115 and the new remainder 29,and apply the division lemma to get

115 = 29 x 3 + 28

We consider the new divisor 29 and the new remainder 28,and apply the division lemma to get

29 = 28 x 1 + 1

We consider the new divisor 28 and the new remainder 1,and apply the division lemma to get

28 = 1 x 28 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1093 and 4976 is 1

Notice that 1 = HCF(28,1) = HCF(29,28) = HCF(115,29) = HCF(489,115) = HCF(604,489) = HCF(1093,604) = HCF(4976,1093) .

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

Step 1: Since 19564 > 1, we apply the division lemma to 19564 and 1, to get

19564 = 1 x 19564 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 19564 is 1

Notice that 1 = HCF(19564,1) .

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Frequently Asked Questions on HCF of 1093, 4976, 19564 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 1093, 4976, 19564?

Answer: HCF of 1093, 4976, 19564 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 1093, 4976, 19564 using Euclid's Algorithm?

Answer: For arbitrary numbers 1093, 4976, 19564 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.