Highest Common Factor of 6325, 9831 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 6325, 9831 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6325, 9831 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 6325, 9831 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 6325, 9831 is 1.
HCF(6325, 9831) = 1
HCF of 6325, 9831 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6325, 9831 is 1.
Highest Common Factor of 6325,9831 is 1
Step 1: Since 9831 > 6325, we apply the division lemma to 9831 and 6325, to get
9831 = 6325 x 1 + 3506
Step 2: Since the reminder 6325 ≠ 0, we apply division lemma to 3506 and 6325, to get
6325 = 3506 x 1 + 2819
Step 3: We consider the new divisor 3506 and the new remainder 2819, and apply the division lemma to get
3506 = 2819 x 1 + 687
We consider the new divisor 2819 and the new remainder 687,and apply the division lemma to get
2819 = 687 x 4 + 71
We consider the new divisor 687 and the new remainder 71,and apply the division lemma to get
687 = 71 x 9 + 48
We consider the new divisor 71 and the new remainder 48,and apply the division lemma to get
71 = 48 x 1 + 23
We consider the new divisor 48 and the new remainder 23,and apply the division lemma to get
48 = 23 x 2 + 2
We consider the new divisor 23 and the new remainder 2,and apply the division lemma to get
23 = 2 x 11 + 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 6325 and 9831 is 1
Notice that 1 = HCF(2,1) = HCF(23,2) = HCF(48,23) = HCF(71,48) = HCF(687,71) = HCF(2819,687) = HCF(3506,2819) = HCF(6325,3506) = HCF(9831,6325) .
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Frequently Asked Questions on HCF of 6325, 9831 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 6325, 9831?
Answer: HCF of 6325, 9831 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6325, 9831 using Euclid's Algorithm?
Answer: For arbitrary numbers 6325, 9831 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.