Highest Common Factor of 7303, 8896 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 7303, 8896 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 7303, 8896 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 7303, 8896 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 7303, 8896 is 1.

HCF(7303, 8896) = 1

HCF of 7303, 8896 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 7303, 8896 is 1.

Highest Common Factor of 7303,8896 using Euclid's algorithm

Highest Common Factor of 7303,8896 is 1

Step 1: Since 8896 > 7303, we apply the division lemma to 8896 and 7303, to get

8896 = 7303 x 1 + 1593

Step 2: Since the reminder 7303 ≠ 0, we apply division lemma to 1593 and 7303, to get

7303 = 1593 x 4 + 931

Step 3: We consider the new divisor 1593 and the new remainder 931, and apply the division lemma to get

1593 = 931 x 1 + 662

We consider the new divisor 931 and the new remainder 662,and apply the division lemma to get

931 = 662 x 1 + 269

We consider the new divisor 662 and the new remainder 269,and apply the division lemma to get

662 = 269 x 2 + 124

We consider the new divisor 269 and the new remainder 124,and apply the division lemma to get

269 = 124 x 2 + 21

We consider the new divisor 124 and the new remainder 21,and apply the division lemma to get

124 = 21 x 5 + 19

We consider the new divisor 21 and the new remainder 19,and apply the division lemma to get

21 = 19 x 1 + 2

We consider the new divisor 19 and the new remainder 2,and apply the division lemma to get

19 = 2 x 9 + 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 7303 and 8896 is 1

Notice that 1 = HCF(2,1) = HCF(19,2) = HCF(21,19) = HCF(124,21) = HCF(269,124) = HCF(662,269) = HCF(931,662) = HCF(1593,931) = HCF(7303,1593) = HCF(8896,7303) .

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Frequently Asked Questions on HCF of 7303, 8896 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 7303, 8896?

Answer: HCF of 7303, 8896 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 7303, 8896 using Euclid's Algorithm?

Answer: For arbitrary numbers 7303, 8896 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.