Highest Common Factor of 9343, 7383 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 9343, 7383 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9343, 7383 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 9343, 7383 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 9343, 7383 is 1.
HCF(9343, 7383) = 1
HCF of 9343, 7383 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9343, 7383 is 1.
Highest Common Factor of 9343,7383 is 1
Step 1: Since 9343 > 7383, we apply the division lemma to 9343 and 7383, to get
9343 = 7383 x 1 + 1960
Step 2: Since the reminder 7383 ≠ 0, we apply division lemma to 1960 and 7383, to get
7383 = 1960 x 3 + 1503
Step 3: We consider the new divisor 1960 and the new remainder 1503, and apply the division lemma to get
1960 = 1503 x 1 + 457
We consider the new divisor 1503 and the new remainder 457,and apply the division lemma to get
1503 = 457 x 3 + 132
We consider the new divisor 457 and the new remainder 132,and apply the division lemma to get
457 = 132 x 3 + 61
We consider the new divisor 132 and the new remainder 61,and apply the division lemma to get
132 = 61 x 2 + 10
We consider the new divisor 61 and the new remainder 10,and apply the division lemma to get
61 = 10 x 6 + 1
We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get
10 = 1 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9343 and 7383 is 1
Notice that 1 = HCF(10,1) = HCF(61,10) = HCF(132,61) = HCF(457,132) = HCF(1503,457) = HCF(1960,1503) = HCF(7383,1960) = HCF(9343,7383) .
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Frequently Asked Questions on HCF of 9343, 7383 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 9343, 7383?
Answer: HCF of 9343, 7383 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9343, 7383 using Euclid's Algorithm?
Answer: For arbitrary numbers 9343, 7383 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.