Highest Common Factor of 4384, 9799 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 4384, 9799 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4384, 9799 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 4384, 9799 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 4384, 9799 is 1.
HCF(4384, 9799) = 1
HCF of 4384, 9799 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4384, 9799 is 1.
Highest Common Factor of 4384,9799 is 1
Step 1: Since 9799 > 4384, we apply the division lemma to 9799 and 4384, to get
9799 = 4384 x 2 + 1031
Step 2: Since the reminder 4384 ≠ 0, we apply division lemma to 1031 and 4384, to get
4384 = 1031 x 4 + 260
Step 3: We consider the new divisor 1031 and the new remainder 260, and apply the division lemma to get
1031 = 260 x 3 + 251
We consider the new divisor 260 and the new remainder 251,and apply the division lemma to get
260 = 251 x 1 + 9
We consider the new divisor 251 and the new remainder 9,and apply the division lemma to get
251 = 9 x 27 + 8
We consider the new divisor 9 and the new remainder 8,and apply the division lemma to get
9 = 8 x 1 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4384 and 9799 is 1
Notice that 1 = HCF(8,1) = HCF(9,8) = HCF(251,9) = HCF(260,251) = HCF(1031,260) = HCF(4384,1031) = HCF(9799,4384) .
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Frequently Asked Questions on HCF of 4384, 9799 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 4384, 9799?
Answer: HCF of 4384, 9799 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4384, 9799 using Euclid's Algorithm?
Answer: For arbitrary numbers 4384, 9799 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.