Highest Common Factor of 9331, 6304 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 9331, 6304 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9331, 6304 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 9331, 6304 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 9331, 6304 is 1.
HCF(9331, 6304) = 1
HCF of 9331, 6304 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9331, 6304 is 1.
Highest Common Factor of 9331,6304 is 1
Step 1: Since 9331 > 6304, we apply the division lemma to 9331 and 6304, to get
9331 = 6304 x 1 + 3027
Step 2: Since the reminder 6304 ≠ 0, we apply division lemma to 3027 and 6304, to get
6304 = 3027 x 2 + 250
Step 3: We consider the new divisor 3027 and the new remainder 250, and apply the division lemma to get
3027 = 250 x 12 + 27
We consider the new divisor 250 and the new remainder 27,and apply the division lemma to get
250 = 27 x 9 + 7
We consider the new divisor 27 and the new remainder 7,and apply the division lemma to get
27 = 7 x 3 + 6
We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get
7 = 6 x 1 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9331 and 6304 is 1
Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(27,7) = HCF(250,27) = HCF(3027,250) = HCF(6304,3027) = HCF(9331,6304) .
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Frequently Asked Questions on HCF of 9331, 6304 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 9331, 6304?
Answer: HCF of 9331, 6304 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9331, 6304 using Euclid's Algorithm?
Answer: For arbitrary numbers 9331, 6304 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.