Highest Common Factor of 8893, 5720, 36878 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 8893, 5720, 36878 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8893, 5720, 36878 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 8893, 5720, 36878 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 8893, 5720, 36878 is 1.

HCF(8893, 5720, 36878) = 1

HCF of 8893, 5720, 36878 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 8893, 5720, 36878 is 1.

Highest Common Factor of 8893,5720,36878 using Euclid's algorithm

Highest Common Factor of 8893,5720,36878 is 1

Step 1: Since 8893 > 5720, we apply the division lemma to 8893 and 5720, to get

8893 = 5720 x 1 + 3173

Step 2: Since the reminder 5720 ≠ 0, we apply division lemma to 3173 and 5720, to get

5720 = 3173 x 1 + 2547

Step 3: We consider the new divisor 3173 and the new remainder 2547, and apply the division lemma to get

3173 = 2547 x 1 + 626

We consider the new divisor 2547 and the new remainder 626,and apply the division lemma to get

2547 = 626 x 4 + 43

We consider the new divisor 626 and the new remainder 43,and apply the division lemma to get

626 = 43 x 14 + 24

We consider the new divisor 43 and the new remainder 24,and apply the division lemma to get

43 = 24 x 1 + 19

We consider the new divisor 24 and the new remainder 19,and apply the division lemma to get

24 = 19 x 1 + 5

We consider the new divisor 19 and the new remainder 5,and apply the division lemma to get

19 = 5 x 3 + 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 8893 and 5720 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(19,5) = HCF(24,19) = HCF(43,24) = HCF(626,43) = HCF(2547,626) = HCF(3173,2547) = HCF(5720,3173) = HCF(8893,5720) .

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

Step 1: Since 36878 > 1, we apply the division lemma to 36878 and 1, to get

36878 = 1 x 36878 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 36878 is 1

Notice that 1 = HCF(36878,1) .

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Frequently Asked Questions on HCF of 8893, 5720, 36878 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 8893, 5720, 36878?

Answer: HCF of 8893, 5720, 36878 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8893, 5720, 36878 using Euclid's Algorithm?

Answer: For arbitrary numbers 8893, 5720, 36878 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.