Highest Common Factor of 9309, 2866 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 9309, 2866 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9309, 2866 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 9309, 2866 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 9309, 2866 is 1.
HCF(9309, 2866) = 1
HCF of 9309, 2866 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9309, 2866 is 1.
Highest Common Factor of 9309,2866 is 1
Step 1: Since 9309 > 2866, we apply the division lemma to 9309 and 2866, to get
9309 = 2866 x 3 + 711
Step 2: Since the reminder 2866 ≠ 0, we apply division lemma to 711 and 2866, to get
2866 = 711 x 4 + 22
Step 3: We consider the new divisor 711 and the new remainder 22, and apply the division lemma to get
711 = 22 x 32 + 7
We consider the new divisor 22 and the new remainder 7,and apply the division lemma to get
22 = 7 x 3 + 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 9309 and 2866 is 1
Notice that 1 = HCF(7,1) = HCF(22,7) = HCF(711,22) = HCF(2866,711) = HCF(9309,2866) .
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Frequently Asked Questions on HCF of 9309, 2866 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 9309, 2866?
Answer: HCF of 9309, 2866 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9309, 2866 using Euclid's Algorithm?
Answer: For arbitrary numbers 9309, 2866 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
