Highest Common Factor of 9366, 8309 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 9366, 8309 i.e. 7 the largest integer that leaves a remainder zero for all numbers.
HCF of 9366, 8309 is 7 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 9366, 8309 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 9366, 8309 is 7.
HCF(9366, 8309) = 7
HCF of 9366, 8309 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9366, 8309 is 7.
Highest Common Factor of 9366,8309 is 7
Step 1: Since 9366 > 8309, we apply the division lemma to 9366 and 8309, to get
9366 = 8309 x 1 + 1057
Step 2: Since the reminder 8309 ≠ 0, we apply division lemma to 1057 and 8309, to get
8309 = 1057 x 7 + 910
Step 3: We consider the new divisor 1057 and the new remainder 910, and apply the division lemma to get
1057 = 910 x 1 + 147
We consider the new divisor 910 and the new remainder 147,and apply the division lemma to get
910 = 147 x 6 + 28
We consider the new divisor 147 and the new remainder 28,and apply the division lemma to get
147 = 28 x 5 + 7
We consider the new divisor 28 and the new remainder 7,and apply the division lemma to get
28 = 7 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 9366 and 8309 is 7
Notice that 7 = HCF(28,7) = HCF(147,28) = HCF(910,147) = HCF(1057,910) = HCF(8309,1057) = HCF(9366,8309) .
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Frequently Asked Questions on HCF of 9366, 8309 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 9366, 8309?
Answer: HCF of 9366, 8309 is 7 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9366, 8309 using Euclid's Algorithm?
Answer: For arbitrary numbers 9366, 8309 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.