Highest Common Factor of 9818, 7008 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 9818, 7008 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 9818, 7008 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 9818, 7008 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 9818, 7008 is 2.
HCF(9818, 7008) = 2
HCF of 9818, 7008 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9818, 7008 is 2.
Highest Common Factor of 9818,7008 is 2
Step 1: Since 9818 > 7008, we apply the division lemma to 9818 and 7008, to get
9818 = 7008 x 1 + 2810
Step 2: Since the reminder 7008 ≠ 0, we apply division lemma to 2810 and 7008, to get
7008 = 2810 x 2 + 1388
Step 3: We consider the new divisor 2810 and the new remainder 1388, and apply the division lemma to get
2810 = 1388 x 2 + 34
We consider the new divisor 1388 and the new remainder 34,and apply the division lemma to get
1388 = 34 x 40 + 28
We consider the new divisor 34 and the new remainder 28,and apply the division lemma to get
34 = 28 x 1 + 6
We consider the new divisor 28 and the new remainder 6,and apply the division lemma to get
28 = 6 x 4 + 4
We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get
6 = 4 x 1 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 9818 and 7008 is 2
Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(28,6) = HCF(34,28) = HCF(1388,34) = HCF(2810,1388) = HCF(7008,2810) = HCF(9818,7008) .
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Frequently Asked Questions on HCF of 9818, 7008 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 9818, 7008?
Answer: HCF of 9818, 7008 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9818, 7008 using Euclid's Algorithm?
Answer: For arbitrary numbers 9818, 7008 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.