Highest Common Factor of 2698, 8241 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 2698, 8241 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2698, 8241 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 2698, 8241 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 2698, 8241 is 1.
HCF(2698, 8241) = 1
HCF of 2698, 8241 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2698, 8241 is 1.
Highest Common Factor of 2698,8241 is 1
Step 1: Since 8241 > 2698, we apply the division lemma to 8241 and 2698, to get
8241 = 2698 x 3 + 147
Step 2: Since the reminder 2698 ≠ 0, we apply division lemma to 147 and 2698, to get
2698 = 147 x 18 + 52
Step 3: We consider the new divisor 147 and the new remainder 52, and apply the division lemma to get
147 = 52 x 2 + 43
We consider the new divisor 52 and the new remainder 43,and apply the division lemma to get
52 = 43 x 1 + 9
We consider the new divisor 43 and the new remainder 9,and apply the division lemma to get
43 = 9 x 4 + 7
We consider the new divisor 9 and the new remainder 7,and apply the division lemma to get
9 = 7 x 1 + 2
We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get
7 = 2 x 3 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2698 and 8241 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(9,7) = HCF(43,9) = HCF(52,43) = HCF(147,52) = HCF(2698,147) = HCF(8241,2698) .
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Frequently Asked Questions on HCF of 2698, 8241 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 2698, 8241?
Answer: HCF of 2698, 8241 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2698, 8241 using Euclid's Algorithm?
Answer: For arbitrary numbers 2698, 8241 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.