Highest Common Factor of 9989, 4251 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 9989, 4251 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9989, 4251 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 9989, 4251 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 9989, 4251 is 1.
HCF(9989, 4251) = 1
HCF of 9989, 4251 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9989, 4251 is 1.
Highest Common Factor of 9989,4251 is 1
Step 1: Since 9989 > 4251, we apply the division lemma to 9989 and 4251, to get
9989 = 4251 x 2 + 1487
Step 2: Since the reminder 4251 ≠ 0, we apply division lemma to 1487 and 4251, to get
4251 = 1487 x 2 + 1277
Step 3: We consider the new divisor 1487 and the new remainder 1277, and apply the division lemma to get
1487 = 1277 x 1 + 210
We consider the new divisor 1277 and the new remainder 210,and apply the division lemma to get
1277 = 210 x 6 + 17
We consider the new divisor 210 and the new remainder 17,and apply the division lemma to get
210 = 17 x 12 + 6
We consider the new divisor 17 and the new remainder 6,and apply the division lemma to get
17 = 6 x 2 + 5
We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get
6 = 5 x 1 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9989 and 4251 is 1
Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(17,6) = HCF(210,17) = HCF(1277,210) = HCF(1487,1277) = HCF(4251,1487) = HCF(9989,4251) .
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Frequently Asked Questions on HCF of 9989, 4251 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 9989, 4251?
Answer: HCF of 9989, 4251 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9989, 4251 using Euclid's Algorithm?
Answer: For arbitrary numbers 9989, 4251 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.