Highest Common Factor of 9181, 8381 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 9181, 8381 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9181, 8381 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 9181, 8381 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 9181, 8381 is 1.
HCF(9181, 8381) = 1
HCF of 9181, 8381 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9181, 8381 is 1.
Highest Common Factor of 9181,8381 is 1
Step 1: Since 9181 > 8381, we apply the division lemma to 9181 and 8381, to get
9181 = 8381 x 1 + 800
Step 2: Since the reminder 8381 ≠ 0, we apply division lemma to 800 and 8381, to get
8381 = 800 x 10 + 381
Step 3: We consider the new divisor 800 and the new remainder 381, and apply the division lemma to get
800 = 381 x 2 + 38
We consider the new divisor 381 and the new remainder 38,and apply the division lemma to get
381 = 38 x 10 + 1
We consider the new divisor 38 and the new remainder 1,and apply the division lemma to get
38 = 1 x 38 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9181 and 8381 is 1
Notice that 1 = HCF(38,1) = HCF(381,38) = HCF(800,381) = HCF(8381,800) = HCF(9181,8381) .
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Frequently Asked Questions on HCF of 9181, 8381 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 9181, 8381?
Answer: HCF of 9181, 8381 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9181, 8381 using Euclid's Algorithm?
Answer: For arbitrary numbers 9181, 8381 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.