Highest Common Factor of 9114, 5506 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 9114, 5506 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 9114, 5506 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 9114, 5506 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 9114, 5506 is 2.
HCF(9114, 5506) = 2
HCF of 9114, 5506 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9114, 5506 is 2.
Highest Common Factor of 9114,5506 is 2
Step 1: Since 9114 > 5506, we apply the division lemma to 9114 and 5506, to get
9114 = 5506 x 1 + 3608
Step 2: Since the reminder 5506 ≠ 0, we apply division lemma to 3608 and 5506, to get
5506 = 3608 x 1 + 1898
Step 3: We consider the new divisor 3608 and the new remainder 1898, and apply the division lemma to get
3608 = 1898 x 1 + 1710
We consider the new divisor 1898 and the new remainder 1710,and apply the division lemma to get
1898 = 1710 x 1 + 188
We consider the new divisor 1710 and the new remainder 188,and apply the division lemma to get
1710 = 188 x 9 + 18
We consider the new divisor 188 and the new remainder 18,and apply the division lemma to get
188 = 18 x 10 + 8
We consider the new divisor 18 and the new remainder 8,and apply the division lemma to get
18 = 8 x 2 + 2
We consider the new divisor 8 and the new remainder 2,and apply the division lemma to get
8 = 2 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 9114 and 5506 is 2
Notice that 2 = HCF(8,2) = HCF(18,8) = HCF(188,18) = HCF(1710,188) = HCF(1898,1710) = HCF(3608,1898) = HCF(5506,3608) = HCF(9114,5506) .
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Frequently Asked Questions on HCF of 9114, 5506 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 9114, 5506?
Answer: HCF of 9114, 5506 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9114, 5506 using Euclid's Algorithm?
Answer: For arbitrary numbers 9114, 5506 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.