Highest Common Factor of 6965, 7299 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 6965, 7299 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6965, 7299 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 6965, 7299 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 6965, 7299 is 1.

HCF(6965, 7299) = 1

HCF of 6965, 7299 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 6965, 7299 is 1.

Highest Common Factor of 6965,7299 using Euclid's algorithm

Highest Common Factor of 6965,7299 is 1

Step 1: Since 7299 > 6965, we apply the division lemma to 7299 and 6965, to get

7299 = 6965 x 1 + 334

Step 2: Since the reminder 6965 ≠ 0, we apply division lemma to 334 and 6965, to get

6965 = 334 x 20 + 285

Step 3: We consider the new divisor 334 and the new remainder 285, and apply the division lemma to get

334 = 285 x 1 + 49

We consider the new divisor 285 and the new remainder 49,and apply the division lemma to get

285 = 49 x 5 + 40

We consider the new divisor 49 and the new remainder 40,and apply the division lemma to get

49 = 40 x 1 + 9

We consider the new divisor 40 and the new remainder 9,and apply the division lemma to get

40 = 9 x 4 + 4

We consider the new divisor 9 and the new remainder 4,and apply the division lemma to get

9 = 4 x 2 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6965 and 7299 is 1

Notice that 1 = HCF(4,1) = HCF(9,4) = HCF(40,9) = HCF(49,40) = HCF(285,49) = HCF(334,285) = HCF(6965,334) = HCF(7299,6965) .

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Frequently Asked Questions on HCF of 6965, 7299 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 6965, 7299?

Answer: HCF of 6965, 7299 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6965, 7299 using Euclid's Algorithm?

Answer: For arbitrary numbers 6965, 7299 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.