Highest Common Factor of 9499, 3871 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 9499, 3871 i.e. 7 the largest integer that leaves a remainder zero for all numbers.
HCF of 9499, 3871 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 9499, 3871 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 9499, 3871 is 7.
HCF(9499, 3871) = 7
HCF of 9499, 3871 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9499, 3871 is 7.
Highest Common Factor of 9499,3871 is 7
Step 1: Since 9499 > 3871, we apply the division lemma to 9499 and 3871, to get
9499 = 3871 x 2 + 1757
Step 2: Since the reminder 3871 ≠ 0, we apply division lemma to 1757 and 3871, to get
3871 = 1757 x 2 + 357
Step 3: We consider the new divisor 1757 and the new remainder 357, and apply the division lemma to get
1757 = 357 x 4 + 329
We consider the new divisor 357 and the new remainder 329,and apply the division lemma to get
357 = 329 x 1 + 28
We consider the new divisor 329 and the new remainder 28,and apply the division lemma to get
329 = 28 x 11 + 21
We consider the new divisor 28 and the new remainder 21,and apply the division lemma to get
28 = 21 x 1 + 7
We consider the new divisor 21 and the new remainder 7,and apply the division lemma to get
21 = 7 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 9499 and 3871 is 7
Notice that 7 = HCF(21,7) = HCF(28,21) = HCF(329,28) = HCF(357,329) = HCF(1757,357) = HCF(3871,1757) = HCF(9499,3871) .
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Frequently Asked Questions on HCF of 9499, 3871 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 9499, 3871?
Answer: HCF of 9499, 3871 is 7 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9499, 3871 using Euclid's Algorithm?
Answer: For arbitrary numbers 9499, 3871 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.