Highest Common Factor of 7299, 6016 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 7299, 6016 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7299, 6016 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 7299, 6016 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 7299, 6016 is 1.

HCF(7299, 6016) = 1

HCF of 7299, 6016 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 7299, 6016 is 1.

Highest Common Factor of 7299,6016 using Euclid's algorithm

Highest Common Factor of 7299,6016 is 1

Step 1: Since 7299 > 6016, we apply the division lemma to 7299 and 6016, to get

7299 = 6016 x 1 + 1283

Step 2: Since the reminder 6016 ≠ 0, we apply division lemma to 1283 and 6016, to get

6016 = 1283 x 4 + 884

Step 3: We consider the new divisor 1283 and the new remainder 884, and apply the division lemma to get

1283 = 884 x 1 + 399

We consider the new divisor 884 and the new remainder 399,and apply the division lemma to get

884 = 399 x 2 + 86

We consider the new divisor 399 and the new remainder 86,and apply the division lemma to get

399 = 86 x 4 + 55

We consider the new divisor 86 and the new remainder 55,and apply the division lemma to get

86 = 55 x 1 + 31

We consider the new divisor 55 and the new remainder 31,and apply the division lemma to get

55 = 31 x 1 + 24

We consider the new divisor 31 and the new remainder 24,and apply the division lemma to get

31 = 24 x 1 + 7

We consider the new divisor 24 and the new remainder 7,and apply the division lemma to get

24 = 7 x 3 + 3

We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get

7 = 3 x 2 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7299 and 6016 is 1

Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(24,7) = HCF(31,24) = HCF(55,31) = HCF(86,55) = HCF(399,86) = HCF(884,399) = HCF(1283,884) = HCF(6016,1283) = HCF(7299,6016) .

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Frequently Asked Questions on HCF of 7299, 6016 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 7299, 6016?

Answer: HCF of 7299, 6016 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7299, 6016 using Euclid's Algorithm?

Answer: For arbitrary numbers 7299, 6016 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.