Highest Common Factor of 618, 5865 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 618, 5865 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 618, 5865 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 618, 5865 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 618, 5865 is 3.
HCF(618, 5865) = 3
HCF of 618, 5865 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 618, 5865 is 3.
Highest Common Factor of 618,5865 is 3
Step 1: Since 5865 > 618, we apply the division lemma to 5865 and 618, to get
5865 = 618 x 9 + 303
Step 2: Since the reminder 618 ≠ 0, we apply division lemma to 303 and 618, to get
618 = 303 x 2 + 12
Step 3: We consider the new divisor 303 and the new remainder 12, and apply the division lemma to get
303 = 12 x 25 + 3
We consider the new divisor 12 and the new remainder 3, and apply the division lemma to get
12 = 3 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 618 and 5865 is 3
Notice that 3 = HCF(12,3) = HCF(303,12) = HCF(618,303) = HCF(5865,618) .
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Frequently Asked Questions on HCF of 618, 5865 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 618, 5865?
Answer: HCF of 618, 5865 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 618, 5865 using Euclid's Algorithm?
Answer: For arbitrary numbers 618, 5865 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.