Highest Common Factor of 7303, 9482 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, 9482 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7303, 9482 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, 9482 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, 9482 is 1.
HCF(7303, 9482) = 1
HCF of 7303, 9482 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7303, 9482 is 1.
Highest Common Factor of 7303,9482 is 1
Step 1: Since 9482 > 7303, we apply the division lemma to 9482 and 7303, to get
9482 = 7303 x 1 + 2179
Step 2: Since the reminder 7303 ≠ 0, we apply division lemma to 2179 and 7303, to get
7303 = 2179 x 3 + 766
Step 3: We consider the new divisor 2179 and the new remainder 766, and apply the division lemma to get
2179 = 766 x 2 + 647
We consider the new divisor 766 and the new remainder 647,and apply the division lemma to get
766 = 647 x 1 + 119
We consider the new divisor 647 and the new remainder 119,and apply the division lemma to get
647 = 119 x 5 + 52
We consider the new divisor 119 and the new remainder 52,and apply the division lemma to get
119 = 52 x 2 + 15
We consider the new divisor 52 and the new remainder 15,and apply the division lemma to get
52 = 15 x 3 + 7
We consider the new divisor 15 and the new remainder 7,and apply the division lemma to get
15 = 7 x 2 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7303 and 9482 is 1
Notice that 1 = HCF(7,1) = HCF(15,7) = HCF(52,15) = HCF(119,52) = HCF(647,119) = HCF(766,647) = HCF(2179,766) = HCF(7303,2179) = HCF(9482,7303) .
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Frequently Asked Questions on HCF of 7303, 9482 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, 9482?
Answer: HCF of 7303, 9482 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7303, 9482 using Euclid's Algorithm?
Answer: For arbitrary numbers 7303, 9482 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.