Highest Common Factor of 3316, 8451 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 3316, 8451 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3316, 8451 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 3316, 8451 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 3316, 8451 is 1.

HCF(3316, 8451) = 1

HCF of 3316, 8451 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 3316, 8451 is 1.

Highest Common Factor of 3316,8451 using Euclid's algorithm

Highest Common Factor of 3316,8451 is 1

Step 1: Since 8451 > 3316, we apply the division lemma to 8451 and 3316, to get

8451 = 3316 x 2 + 1819

Step 2: Since the reminder 3316 ≠ 0, we apply division lemma to 1819 and 3316, to get

3316 = 1819 x 1 + 1497

Step 3: We consider the new divisor 1819 and the new remainder 1497, and apply the division lemma to get

1819 = 1497 x 1 + 322

We consider the new divisor 1497 and the new remainder 322,and apply the division lemma to get

1497 = 322 x 4 + 209

We consider the new divisor 322 and the new remainder 209,and apply the division lemma to get

322 = 209 x 1 + 113

We consider the new divisor 209 and the new remainder 113,and apply the division lemma to get

209 = 113 x 1 + 96

We consider the new divisor 113 and the new remainder 96,and apply the division lemma to get

113 = 96 x 1 + 17

We consider the new divisor 96 and the new remainder 17,and apply the division lemma to get

96 = 17 x 5 + 11

We consider the new divisor 17 and the new remainder 11,and apply the division lemma to get

17 = 11 x 1 + 6

We consider the new divisor 11 and the new remainder 6,and apply the division lemma to get

11 = 6 x 1 + 5

We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get

6 = 5 x 1 + 1

We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3316 and 8451 is 1

Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(11,6) = HCF(17,11) = HCF(96,17) = HCF(113,96) = HCF(209,113) = HCF(322,209) = HCF(1497,322) = HCF(1819,1497) = HCF(3316,1819) = HCF(8451,3316) .

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Frequently Asked Questions on HCF of 3316, 8451 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 3316, 8451?

Answer: HCF of 3316, 8451 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3316, 8451 using Euclid's Algorithm?

Answer: For arbitrary numbers 3316, 8451 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.