Highest Common Factor of 4299, 6713 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 4299, 6713 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4299, 6713 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 4299, 6713 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 4299, 6713 is 1.

HCF(4299, 6713) = 1

HCF of 4299, 6713 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 4299, 6713 is 1.

Highest Common Factor of 4299,6713 using Euclid's algorithm

Highest Common Factor of 4299,6713 is 1

Step 1: Since 6713 > 4299, we apply the division lemma to 6713 and 4299, to get

6713 = 4299 x 1 + 2414

Step 2: Since the reminder 4299 ≠ 0, we apply division lemma to 2414 and 4299, to get

4299 = 2414 x 1 + 1885

Step 3: We consider the new divisor 2414 and the new remainder 1885, and apply the division lemma to get

2414 = 1885 x 1 + 529

We consider the new divisor 1885 and the new remainder 529,and apply the division lemma to get

1885 = 529 x 3 + 298

We consider the new divisor 529 and the new remainder 298,and apply the division lemma to get

529 = 298 x 1 + 231

We consider the new divisor 298 and the new remainder 231,and apply the division lemma to get

298 = 231 x 1 + 67

We consider the new divisor 231 and the new remainder 67,and apply the division lemma to get

231 = 67 x 3 + 30

We consider the new divisor 67 and the new remainder 30,and apply the division lemma to get

67 = 30 x 2 + 7

We consider the new divisor 30 and the new remainder 7,and apply the division lemma to get

30 = 7 x 4 + 2

We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get

7 = 2 x 3 + 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 4299 and 6713 is 1

Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(30,7) = HCF(67,30) = HCF(231,67) = HCF(298,231) = HCF(529,298) = HCF(1885,529) = HCF(2414,1885) = HCF(4299,2414) = HCF(6713,4299) .

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Frequently Asked Questions on HCF of 4299, 6713 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 4299, 6713?

Answer: HCF of 4299, 6713 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4299, 6713 using Euclid's Algorithm?

Answer: For arbitrary numbers 4299, 6713 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.