Highest Common Factor of 9905, 5061 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 9905, 5061 i.e. 7 the largest integer that leaves a remainder zero for all numbers.
HCF of 9905, 5061 is 7 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 9905, 5061 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 9905, 5061 is 7.
HCF(9905, 5061) = 7
HCF of 9905, 5061 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9905, 5061 is 7.
Highest Common Factor of 9905,5061 is 7
Step 1: Since 9905 > 5061, we apply the division lemma to 9905 and 5061, to get
9905 = 5061 x 1 + 4844
Step 2: Since the reminder 5061 ≠ 0, we apply division lemma to 4844 and 5061, to get
5061 = 4844 x 1 + 217
Step 3: We consider the new divisor 4844 and the new remainder 217, and apply the division lemma to get
4844 = 217 x 22 + 70
We consider the new divisor 217 and the new remainder 70,and apply the division lemma to get
217 = 70 x 3 + 7
We consider the new divisor 70 and the new remainder 7,and apply the division lemma to get
70 = 7 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 9905 and 5061 is 7
Notice that 7 = HCF(70,7) = HCF(217,70) = HCF(4844,217) = HCF(5061,4844) = HCF(9905,5061) .
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Frequently Asked Questions on HCF of 9905, 5061 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 9905, 5061?
Answer: HCF of 9905, 5061 is 7 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9905, 5061 using Euclid's Algorithm?
Answer: For arbitrary numbers 9905, 5061 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.