Highest Common Factor of 5516, 9655 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 5516, 9655 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5516, 9655 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 5516, 9655 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 5516, 9655 is 1.
HCF(5516, 9655) = 1
HCF of 5516, 9655 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5516, 9655 is 1.
Highest Common Factor of 5516,9655 is 1
Step 1: Since 9655 > 5516, we apply the division lemma to 9655 and 5516, to get
9655 = 5516 x 1 + 4139
Step 2: Since the reminder 5516 ≠ 0, we apply division lemma to 4139 and 5516, to get
5516 = 4139 x 1 + 1377
Step 3: We consider the new divisor 4139 and the new remainder 1377, and apply the division lemma to get
4139 = 1377 x 3 + 8
We consider the new divisor 1377 and the new remainder 8,and apply the division lemma to get
1377 = 8 x 172 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5516 and 9655 is 1
Notice that 1 = HCF(8,1) = HCF(1377,8) = HCF(4139,1377) = HCF(5516,4139) = HCF(9655,5516) .
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Frequently Asked Questions on HCF of 5516, 9655 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 5516, 9655?
Answer: HCF of 5516, 9655 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5516, 9655 using Euclid's Algorithm?
Answer: For arbitrary numbers 5516, 9655 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.