Highest Common Factor of 9961, 4059 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 9961, 4059 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9961, 4059 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 9961, 4059 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 9961, 4059 is 1.
HCF(9961, 4059) = 1
HCF of 9961, 4059 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9961, 4059 is 1.
Highest Common Factor of 9961,4059 is 1
Step 1: Since 9961 > 4059, we apply the division lemma to 9961 and 4059, to get
9961 = 4059 x 2 + 1843
Step 2: Since the reminder 4059 ≠ 0, we apply division lemma to 1843 and 4059, to get
4059 = 1843 x 2 + 373
Step 3: We consider the new divisor 1843 and the new remainder 373, and apply the division lemma to get
1843 = 373 x 4 + 351
We consider the new divisor 373 and the new remainder 351,and apply the division lemma to get
373 = 351 x 1 + 22
We consider the new divisor 351 and the new remainder 22,and apply the division lemma to get
351 = 22 x 15 + 21
We consider the new divisor 22 and the new remainder 21,and apply the division lemma to get
22 = 21 x 1 + 1
We consider the new divisor 21 and the new remainder 1,and apply the division lemma to get
21 = 1 x 21 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9961 and 4059 is 1
Notice that 1 = HCF(21,1) = HCF(22,21) = HCF(351,22) = HCF(373,351) = HCF(1843,373) = HCF(4059,1843) = HCF(9961,4059) .
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Frequently Asked Questions on HCF of 9961, 4059 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 9961, 4059?
Answer: HCF of 9961, 4059 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9961, 4059 using Euclid's Algorithm?
Answer: For arbitrary numbers 9961, 4059 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.