Highest Common Factor of 5818, 9536 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, 9536 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 5818, 9536 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, 9536 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, 9536 is 2.
HCF(5818, 9536) = 2
HCF of 5818, 9536 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, 9536 is 2.
Highest Common Factor of 5818,9536 is 2
Step 1: Since 9536 > 5818, we apply the division lemma to 9536 and 5818, to get
9536 = 5818 x 1 + 3718
Step 2: Since the reminder 5818 ≠ 0, we apply division lemma to 3718 and 5818, to get
5818 = 3718 x 1 + 2100
Step 3: We consider the new divisor 3718 and the new remainder 2100, and apply the division lemma to get
3718 = 2100 x 1 + 1618
We consider the new divisor 2100 and the new remainder 1618,and apply the division lemma to get
2100 = 1618 x 1 + 482
We consider the new divisor 1618 and the new remainder 482,and apply the division lemma to get
1618 = 482 x 3 + 172
We consider the new divisor 482 and the new remainder 172,and apply the division lemma to get
482 = 172 x 2 + 138
We consider the new divisor 172 and the new remainder 138,and apply the division lemma to get
172 = 138 x 1 + 34
We consider the new divisor 138 and the new remainder 34,and apply the division lemma to get
138 = 34 x 4 + 2
We consider the new divisor 34 and the new remainder 2,and apply the division lemma to get
34 = 2 x 17 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 5818 and 9536 is 2
Notice that 2 = HCF(34,2) = HCF(138,34) = HCF(172,138) = HCF(482,172) = HCF(1618,482) = HCF(2100,1618) = HCF(3718,2100) = HCF(5818,3718) = HCF(9536,5818) .
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Frequently Asked Questions on HCF of 5818, 9536 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, 9536?
Answer: HCF of 5818, 9536 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5818, 9536 using Euclid's Algorithm?
Answer: For arbitrary numbers 5818, 9536 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
