Highest Common Factor of 3383, 8516 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 3383, 8516 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3383, 8516 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 3383, 8516 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 3383, 8516 is 1.

HCF(3383, 8516) = 1

HCF of 3383, 8516 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

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Highest common factor (HCF) of 3383, 8516 is 1.

Highest Common Factor of 3383,8516 using Euclid's algorithm

Highest Common Factor of 3383,8516 is 1

Step 1: Since 8516 > 3383, we apply the division lemma to 8516 and 3383, to get

8516 = 3383 x 2 + 1750

Step 2: Since the reminder 3383 ≠ 0, we apply division lemma to 1750 and 3383, to get

3383 = 1750 x 1 + 1633

Step 3: We consider the new divisor 1750 and the new remainder 1633, and apply the division lemma to get

1750 = 1633 x 1 + 117

We consider the new divisor 1633 and the new remainder 117,and apply the division lemma to get

1633 = 117 x 13 + 112

We consider the new divisor 117 and the new remainder 112,and apply the division lemma to get

117 = 112 x 1 + 5

We consider the new divisor 112 and the new remainder 5,and apply the division lemma to get

112 = 5 x 22 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 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 3383 and 8516 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(112,5) = HCF(117,112) = HCF(1633,117) = HCF(1750,1633) = HCF(3383,1750) = HCF(8516,3383) .

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Frequently Asked Questions on HCF of 3383, 8516 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 3383, 8516?

Answer: HCF of 3383, 8516 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3383, 8516 using Euclid's Algorithm?

Answer: For arbitrary numbers 3383, 8516 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.