Highest Common Factor of 9321, 8118 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 9321, 8118 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 9321, 8118 is 3 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 9321, 8118 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 9321, 8118 is 3.
HCF(9321, 8118) = 3
HCF of 9321, 8118 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9321, 8118 is 3.
Highest Common Factor of 9321,8118 is 3
Step 1: Since 9321 > 8118, we apply the division lemma to 9321 and 8118, to get
9321 = 8118 x 1 + 1203
Step 2: Since the reminder 8118 ≠ 0, we apply division lemma to 1203 and 8118, to get
8118 = 1203 x 6 + 900
Step 3: We consider the new divisor 1203 and the new remainder 900, and apply the division lemma to get
1203 = 900 x 1 + 303
We consider the new divisor 900 and the new remainder 303,and apply the division lemma to get
900 = 303 x 2 + 294
We consider the new divisor 303 and the new remainder 294,and apply the division lemma to get
303 = 294 x 1 + 9
We consider the new divisor 294 and the new remainder 9,and apply the division lemma to get
294 = 9 x 32 + 6
We consider the new divisor 9 and the new remainder 6,and apply the division lemma to get
9 = 6 x 1 + 3
We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get
6 = 3 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 9321 and 8118 is 3
Notice that 3 = HCF(6,3) = HCF(9,6) = HCF(294,9) = HCF(303,294) = HCF(900,303) = HCF(1203,900) = HCF(8118,1203) = HCF(9321,8118) .
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Frequently Asked Questions on HCF of 9321, 8118 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 9321, 8118?
Answer: HCF of 9321, 8118 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9321, 8118 using Euclid's Algorithm?
Answer: For arbitrary numbers 9321, 8118 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.