Highest Common Factor of 4328, 9914 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 4328, 9914 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 4328, 9914 is 2 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 4328, 9914 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 4328, 9914 is 2.
HCF(4328, 9914) = 2
HCF of 4328, 9914 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4328, 9914 is 2.
Highest Common Factor of 4328,9914 is 2
Step 1: Since 9914 > 4328, we apply the division lemma to 9914 and 4328, to get
9914 = 4328 x 2 + 1258
Step 2: Since the reminder 4328 ≠ 0, we apply division lemma to 1258 and 4328, to get
4328 = 1258 x 3 + 554
Step 3: We consider the new divisor 1258 and the new remainder 554, and apply the division lemma to get
1258 = 554 x 2 + 150
We consider the new divisor 554 and the new remainder 150,and apply the division lemma to get
554 = 150 x 3 + 104
We consider the new divisor 150 and the new remainder 104,and apply the division lemma to get
150 = 104 x 1 + 46
We consider the new divisor 104 and the new remainder 46,and apply the division lemma to get
104 = 46 x 2 + 12
We consider the new divisor 46 and the new remainder 12,and apply the division lemma to get
46 = 12 x 3 + 10
We consider the new divisor 12 and the new remainder 10,and apply the division lemma to get
12 = 10 x 1 + 2
We consider the new divisor 10 and the new remainder 2,and apply the division lemma to get
10 = 2 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 4328 and 9914 is 2
Notice that 2 = HCF(10,2) = HCF(12,10) = HCF(46,12) = HCF(104,46) = HCF(150,104) = HCF(554,150) = HCF(1258,554) = HCF(4328,1258) = HCF(9914,4328) .
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Frequently Asked Questions on HCF of 4328, 9914 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 4328, 9914?
Answer: HCF of 4328, 9914 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4328, 9914 using Euclid's Algorithm?
Answer: For arbitrary numbers 4328, 9914 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.