Highest Common Factor of 3806, 8325 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 3806, 8325 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3806, 8325 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 3806, 8325 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 3806, 8325 is 1.
HCF(3806, 8325) = 1
HCF of 3806, 8325 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3806, 8325 is 1.
Highest Common Factor of 3806,8325 is 1
Step 1: Since 8325 > 3806, we apply the division lemma to 8325 and 3806, to get
8325 = 3806 x 2 + 713
Step 2: Since the reminder 3806 ≠ 0, we apply division lemma to 713 and 3806, to get
3806 = 713 x 5 + 241
Step 3: We consider the new divisor 713 and the new remainder 241, and apply the division lemma to get
713 = 241 x 2 + 231
We consider the new divisor 241 and the new remainder 231,and apply the division lemma to get
241 = 231 x 1 + 10
We consider the new divisor 231 and the new remainder 10,and apply the division lemma to get
231 = 10 x 23 + 1
We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get
10 = 1 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3806 and 8325 is 1
Notice that 1 = HCF(10,1) = HCF(231,10) = HCF(241,231) = HCF(713,241) = HCF(3806,713) = HCF(8325,3806) .
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Frequently Asked Questions on HCF of 3806, 8325 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 3806, 8325?
Answer: HCF of 3806, 8325 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3806, 8325 using Euclid's Algorithm?
Answer: For arbitrary numbers 3806, 8325 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
