Highest Common Factor of 4344, 9818 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 4344, 9818 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 4344, 9818 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 4344, 9818 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 4344, 9818 is 2.
HCF(4344, 9818) = 2
HCF of 4344, 9818 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4344, 9818 is 2.
Highest Common Factor of 4344,9818 is 2
Step 1: Since 9818 > 4344, we apply the division lemma to 9818 and 4344, to get
9818 = 4344 x 2 + 1130
Step 2: Since the reminder 4344 ≠ 0, we apply division lemma to 1130 and 4344, to get
4344 = 1130 x 3 + 954
Step 3: We consider the new divisor 1130 and the new remainder 954, and apply the division lemma to get
1130 = 954 x 1 + 176
We consider the new divisor 954 and the new remainder 176,and apply the division lemma to get
954 = 176 x 5 + 74
We consider the new divisor 176 and the new remainder 74,and apply the division lemma to get
176 = 74 x 2 + 28
We consider the new divisor 74 and the new remainder 28,and apply the division lemma to get
74 = 28 x 2 + 18
We consider the new divisor 28 and the new remainder 18,and apply the division lemma to get
28 = 18 x 1 + 10
We consider the new divisor 18 and the new remainder 10,and apply the division lemma to get
18 = 10 x 1 + 8
We consider the new divisor 10 and the new remainder 8,and apply the division lemma to get
10 = 8 x 1 + 2
We consider the new divisor 8 and the new remainder 2,and apply the division lemma to get
8 = 2 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 4344 and 9818 is 2
Notice that 2 = HCF(8,2) = HCF(10,8) = HCF(18,10) = HCF(28,18) = HCF(74,28) = HCF(176,74) = HCF(954,176) = HCF(1130,954) = HCF(4344,1130) = HCF(9818,4344) .
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Frequently Asked Questions on HCF of 4344, 9818 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 4344, 9818?
Answer: HCF of 4344, 9818 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4344, 9818 using Euclid's Algorithm?
Answer: For arbitrary numbers 4344, 9818 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.