Highest Common Factor of 5818, 9448 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 5818, 9448 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 5818, 9448 is 2 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 5818, 9448 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 5818, 9448 is 2.
HCF(5818, 9448) = 2
HCF of 5818, 9448 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5818, 9448 is 2.
Highest Common Factor of 5818,9448 is 2
Step 1: Since 9448 > 5818, we apply the division lemma to 9448 and 5818, to get
9448 = 5818 x 1 + 3630
Step 2: Since the reminder 5818 ≠ 0, we apply division lemma to 3630 and 5818, to get
5818 = 3630 x 1 + 2188
Step 3: We consider the new divisor 3630 and the new remainder 2188, and apply the division lemma to get
3630 = 2188 x 1 + 1442
We consider the new divisor 2188 and the new remainder 1442,and apply the division lemma to get
2188 = 1442 x 1 + 746
We consider the new divisor 1442 and the new remainder 746,and apply the division lemma to get
1442 = 746 x 1 + 696
We consider the new divisor 746 and the new remainder 696,and apply the division lemma to get
746 = 696 x 1 + 50
We consider the new divisor 696 and the new remainder 50,and apply the division lemma to get
696 = 50 x 13 + 46
We consider the new divisor 50 and the new remainder 46,and apply the division lemma to get
50 = 46 x 1 + 4
We consider the new divisor 46 and the new remainder 4,and apply the division lemma to get
46 = 4 x 11 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 5818 and 9448 is 2
Notice that 2 = HCF(4,2) = HCF(46,4) = HCF(50,46) = HCF(696,50) = HCF(746,696) = HCF(1442,746) = HCF(2188,1442) = HCF(3630,2188) = HCF(5818,3630) = HCF(9448,5818) .
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Frequently Asked Questions on HCF of 5818, 9448 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 5818, 9448?
Answer: HCF of 5818, 9448 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5818, 9448 using Euclid's Algorithm?
Answer: For arbitrary numbers 5818, 9448 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.