Highest Common Factor of 9318, 4983 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 9318, 4983 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 9318, 4983 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 9318, 4983 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 9318, 4983 is 3.
HCF(9318, 4983) = 3
HCF of 9318, 4983 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9318, 4983 is 3.
Highest Common Factor of 9318,4983 is 3
Step 1: Since 9318 > 4983, we apply the division lemma to 9318 and 4983, to get
9318 = 4983 x 1 + 4335
Step 2: Since the reminder 4983 ≠ 0, we apply division lemma to 4335 and 4983, to get
4983 = 4335 x 1 + 648
Step 3: We consider the new divisor 4335 and the new remainder 648, and apply the division lemma to get
4335 = 648 x 6 + 447
We consider the new divisor 648 and the new remainder 447,and apply the division lemma to get
648 = 447 x 1 + 201
We consider the new divisor 447 and the new remainder 201,and apply the division lemma to get
447 = 201 x 2 + 45
We consider the new divisor 201 and the new remainder 45,and apply the division lemma to get
201 = 45 x 4 + 21
We consider the new divisor 45 and the new remainder 21,and apply the division lemma to get
45 = 21 x 2 + 3
We consider the new divisor 21 and the new remainder 3,and apply the division lemma to get
21 = 3 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 9318 and 4983 is 3
Notice that 3 = HCF(21,3) = HCF(45,21) = HCF(201,45) = HCF(447,201) = HCF(648,447) = HCF(4335,648) = HCF(4983,4335) = HCF(9318,4983) .
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Frequently Asked Questions on HCF of 9318, 4983 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 9318, 4983?
Answer: HCF of 9318, 4983 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9318, 4983 using Euclid's Algorithm?
Answer: For arbitrary numbers 9318, 4983 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.