Highest Common Factor of 8860, 5384 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 8860, 5384 i.e. 4 the largest integer that leaves a remainder zero for all numbers.

HCF of 8860, 5384 is 4 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 8860, 5384 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 8860, 5384 is 4.

HCF(8860, 5384) = 4

HCF of 8860, 5384 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 8860, 5384 is 4.

Highest Common Factor of 8860,5384 using Euclid's algorithm

Highest Common Factor of 8860,5384 is 4

Step 1: Since 8860 > 5384, we apply the division lemma to 8860 and 5384, to get

8860 = 5384 x 1 + 3476

Step 2: Since the reminder 5384 ≠ 0, we apply division lemma to 3476 and 5384, to get

5384 = 3476 x 1 + 1908

Step 3: We consider the new divisor 3476 and the new remainder 1908, and apply the division lemma to get

3476 = 1908 x 1 + 1568

We consider the new divisor 1908 and the new remainder 1568,and apply the division lemma to get

1908 = 1568 x 1 + 340

We consider the new divisor 1568 and the new remainder 340,and apply the division lemma to get

1568 = 340 x 4 + 208

We consider the new divisor 340 and the new remainder 208,and apply the division lemma to get

340 = 208 x 1 + 132

We consider the new divisor 208 and the new remainder 132,and apply the division lemma to get

208 = 132 x 1 + 76

We consider the new divisor 132 and the new remainder 76,and apply the division lemma to get

132 = 76 x 1 + 56

We consider the new divisor 76 and the new remainder 56,and apply the division lemma to get

76 = 56 x 1 + 20

We consider the new divisor 56 and the new remainder 20,and apply the division lemma to get

56 = 20 x 2 + 16

We consider the new divisor 20 and the new remainder 16,and apply the division lemma to get

20 = 16 x 1 + 4

We consider the new divisor 16 and the new remainder 4,and apply the division lemma to get

16 = 4 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 8860 and 5384 is 4

Notice that 4 = HCF(16,4) = HCF(20,16) = HCF(56,20) = HCF(76,56) = HCF(132,76) = HCF(208,132) = HCF(340,208) = HCF(1568,340) = HCF(1908,1568) = HCF(3476,1908) = HCF(5384,3476) = HCF(8860,5384) .

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Frequently Asked Questions on HCF of 8860, 5384 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 8860, 5384?

Answer: HCF of 8860, 5384 is 4 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8860, 5384 using Euclid's Algorithm?

Answer: For arbitrary numbers 8860, 5384 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.