Highest Common Factor of 6235, 8199 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 6235, 8199 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6235, 8199 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 6235, 8199 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 6235, 8199 is 1.

HCF(6235, 8199) = 1

HCF of 6235, 8199 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 6235, 8199 is 1.

Highest Common Factor of 6235,8199 using Euclid's algorithm

Highest Common Factor of 6235,8199 is 1

Step 1: Since 8199 > 6235, we apply the division lemma to 8199 and 6235, to get

8199 = 6235 x 1 + 1964

Step 2: Since the reminder 6235 ≠ 0, we apply division lemma to 1964 and 6235, to get

6235 = 1964 x 3 + 343

Step 3: We consider the new divisor 1964 and the new remainder 343, and apply the division lemma to get

1964 = 343 x 5 + 249

We consider the new divisor 343 and the new remainder 249,and apply the division lemma to get

343 = 249 x 1 + 94

We consider the new divisor 249 and the new remainder 94,and apply the division lemma to get

249 = 94 x 2 + 61

We consider the new divisor 94 and the new remainder 61,and apply the division lemma to get

94 = 61 x 1 + 33

We consider the new divisor 61 and the new remainder 33,and apply the division lemma to get

61 = 33 x 1 + 28

We consider the new divisor 33 and the new remainder 28,and apply the division lemma to get

33 = 28 x 1 + 5

We consider the new divisor 28 and the new remainder 5,and apply the division lemma to get

28 = 5 x 5 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 6235 and 8199 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(28,5) = HCF(33,28) = HCF(61,33) = HCF(94,61) = HCF(249,94) = HCF(343,249) = HCF(1964,343) = HCF(6235,1964) = HCF(8199,6235) .

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Frequently Asked Questions on HCF of 6235, 8199 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 6235, 8199?

Answer: HCF of 6235, 8199 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6235, 8199 using Euclid's Algorithm?

Answer: For arbitrary numbers 6235, 8199 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.