Highest Common Factor of 5513, 9917 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 5513, 9917 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5513, 9917 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 5513, 9917 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 5513, 9917 is 1.
HCF(5513, 9917) = 1
HCF of 5513, 9917 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5513, 9917 is 1.
Highest Common Factor of 5513,9917 is 1
Step 1: Since 9917 > 5513, we apply the division lemma to 9917 and 5513, to get
9917 = 5513 x 1 + 4404
Step 2: Since the reminder 5513 ≠ 0, we apply division lemma to 4404 and 5513, to get
5513 = 4404 x 1 + 1109
Step 3: We consider the new divisor 4404 and the new remainder 1109, and apply the division lemma to get
4404 = 1109 x 3 + 1077
We consider the new divisor 1109 and the new remainder 1077,and apply the division lemma to get
1109 = 1077 x 1 + 32
We consider the new divisor 1077 and the new remainder 32,and apply the division lemma to get
1077 = 32 x 33 + 21
We consider the new divisor 32 and the new remainder 21,and apply the division lemma to get
32 = 21 x 1 + 11
We consider the new divisor 21 and the new remainder 11,and apply the division lemma to get
21 = 11 x 1 + 10
We consider the new divisor 11 and the new remainder 10,and apply the division lemma to get
11 = 10 x 1 + 1
We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get
10 = 1 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5513 and 9917 is 1
Notice that 1 = HCF(10,1) = HCF(11,10) = HCF(21,11) = HCF(32,21) = HCF(1077,32) = HCF(1109,1077) = HCF(4404,1109) = HCF(5513,4404) = HCF(9917,5513) .
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Frequently Asked Questions on HCF of 5513, 9917 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 5513, 9917?
Answer: HCF of 5513, 9917 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5513, 9917 using Euclid's Algorithm?
Answer: For arbitrary numbers 5513, 9917 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.