Highest Common Factor of 7841, 9397 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 7841, 9397 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7841, 9397 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 7841, 9397 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 7841, 9397 is 1.
HCF(7841, 9397) = 1
HCF of 7841, 9397 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7841, 9397 is 1.
Highest Common Factor of 7841,9397 is 1
Step 1: Since 9397 > 7841, we apply the division lemma to 9397 and 7841, to get
9397 = 7841 x 1 + 1556
Step 2: Since the reminder 7841 ≠ 0, we apply division lemma to 1556 and 7841, to get
7841 = 1556 x 5 + 61
Step 3: We consider the new divisor 1556 and the new remainder 61, and apply the division lemma to get
1556 = 61 x 25 + 31
We consider the new divisor 61 and the new remainder 31,and apply the division lemma to get
61 = 31 x 1 + 30
We consider the new divisor 31 and the new remainder 30,and apply the division lemma to get
31 = 30 x 1 + 1
We consider the new divisor 30 and the new remainder 1,and apply the division lemma to get
30 = 1 x 30 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7841 and 9397 is 1
Notice that 1 = HCF(30,1) = HCF(31,30) = HCF(61,31) = HCF(1556,61) = HCF(7841,1556) = HCF(9397,7841) .
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Frequently Asked Questions on HCF of 7841, 9397 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 7841, 9397?
Answer: HCF of 7841, 9397 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7841, 9397 using Euclid's Algorithm?
Answer: For arbitrary numbers 7841, 9397 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.