Highest Common Factor of 6049, 8216 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 6049, 8216 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6049, 8216 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 6049, 8216 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 6049, 8216 is 1.

HCF(6049, 8216) = 1

HCF of 6049, 8216 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 6049, 8216 is 1.

Highest Common Factor of 6049,8216 using Euclid's algorithm

Highest Common Factor of 6049,8216 is 1

Step 1: Since 8216 > 6049, we apply the division lemma to 8216 and 6049, to get

8216 = 6049 x 1 + 2167

Step 2: Since the reminder 6049 ≠ 0, we apply division lemma to 2167 and 6049, to get

6049 = 2167 x 2 + 1715

Step 3: We consider the new divisor 2167 and the new remainder 1715, and apply the division lemma to get

2167 = 1715 x 1 + 452

We consider the new divisor 1715 and the new remainder 452,and apply the division lemma to get

1715 = 452 x 3 + 359

We consider the new divisor 452 and the new remainder 359,and apply the division lemma to get

452 = 359 x 1 + 93

We consider the new divisor 359 and the new remainder 93,and apply the division lemma to get

359 = 93 x 3 + 80

We consider the new divisor 93 and the new remainder 80,and apply the division lemma to get

93 = 80 x 1 + 13

We consider the new divisor 80 and the new remainder 13,and apply the division lemma to get

80 = 13 x 6 + 2

We consider the new divisor 13 and the new remainder 2,and apply the division lemma to get

13 = 2 x 6 + 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 6049 and 8216 is 1

Notice that 1 = HCF(2,1) = HCF(13,2) = HCF(80,13) = HCF(93,80) = HCF(359,93) = HCF(452,359) = HCF(1715,452) = HCF(2167,1715) = HCF(6049,2167) = HCF(8216,6049) .

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Frequently Asked Questions on HCF of 6049, 8216 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 6049, 8216?

Answer: HCF of 6049, 8216 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6049, 8216 using Euclid's Algorithm?

Answer: For arbitrary numbers 6049, 8216 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.