Highest Common Factor of 5611, 9818 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 5611, 9818 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5611, 9818 is 1 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 5611, 9818 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 5611, 9818 is 1.
HCF(5611, 9818) = 1
HCF of 5611, 9818 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5611, 9818 is 1.
Highest Common Factor of 5611,9818 is 1
Step 1: Since 9818 > 5611, we apply the division lemma to 9818 and 5611, to get
9818 = 5611 x 1 + 4207
Step 2: Since the reminder 5611 ≠ 0, we apply division lemma to 4207 and 5611, to get
5611 = 4207 x 1 + 1404
Step 3: We consider the new divisor 4207 and the new remainder 1404, and apply the division lemma to get
4207 = 1404 x 2 + 1399
We consider the new divisor 1404 and the new remainder 1399,and apply the division lemma to get
1404 = 1399 x 1 + 5
We consider the new divisor 1399 and the new remainder 5,and apply the division lemma to get
1399 = 5 x 279 + 4
We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get
5 = 4 x 1 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5611 and 9818 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(1399,5) = HCF(1404,1399) = HCF(4207,1404) = HCF(5611,4207) = HCF(9818,5611) .
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Frequently Asked Questions on HCF of 5611, 9818 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 5611, 9818?
Answer: HCF of 5611, 9818 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5611, 9818 using Euclid's Algorithm?
Answer: For arbitrary numbers 5611, 9818 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.