Highest Common Factor of 3103, 9715 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 3103, 9715 i.e. 29 the largest integer that leaves a remainder zero for all numbers.
HCF of 3103, 9715 is 29 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 3103, 9715 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 3103, 9715 is 29.
HCF(3103, 9715) = 29
HCF of 3103, 9715 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3103, 9715 is 29.
Highest Common Factor of 3103,9715 is 29
Step 1: Since 9715 > 3103, we apply the division lemma to 9715 and 3103, to get
9715 = 3103 x 3 + 406
Step 2: Since the reminder 3103 ≠ 0, we apply division lemma to 406 and 3103, to get
3103 = 406 x 7 + 261
Step 3: We consider the new divisor 406 and the new remainder 261, and apply the division lemma to get
406 = 261 x 1 + 145
We consider the new divisor 261 and the new remainder 145,and apply the division lemma to get
261 = 145 x 1 + 116
We consider the new divisor 145 and the new remainder 116,and apply the division lemma to get
145 = 116 x 1 + 29
We consider the new divisor 116 and the new remainder 29,and apply the division lemma to get
116 = 29 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 29, the HCF of 3103 and 9715 is 29
Notice that 29 = HCF(116,29) = HCF(145,116) = HCF(261,145) = HCF(406,261) = HCF(3103,406) = HCF(9715,3103) .
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Frequently Asked Questions on HCF of 3103, 9715 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 3103, 9715?
Answer: HCF of 3103, 9715 is 29 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3103, 9715 using Euclid's Algorithm?
Answer: For arbitrary numbers 3103, 9715 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.