Highest Common Factor of 3841, 828 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 3841, 828 i.e. 23 the largest integer that leaves a remainder zero for all numbers.
HCF of 3841, 828 is 23 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 3841, 828 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 3841, 828 is 23.
HCF(3841, 828) = 23
HCF of 3841, 828 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3841, 828 is 23.
Highest Common Factor of 3841,828 is 23
Step 1: Since 3841 > 828, we apply the division lemma to 3841 and 828, to get
3841 = 828 x 4 + 529
Step 2: Since the reminder 828 ≠ 0, we apply division lemma to 529 and 828, to get
828 = 529 x 1 + 299
Step 3: We consider the new divisor 529 and the new remainder 299, and apply the division lemma to get
529 = 299 x 1 + 230
We consider the new divisor 299 and the new remainder 230,and apply the division lemma to get
299 = 230 x 1 + 69
We consider the new divisor 230 and the new remainder 69,and apply the division lemma to get
230 = 69 x 3 + 23
We consider the new divisor 69 and the new remainder 23,and apply the division lemma to get
69 = 23 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 23, the HCF of 3841 and 828 is 23
Notice that 23 = HCF(69,23) = HCF(230,69) = HCF(299,230) = HCF(529,299) = HCF(828,529) = HCF(3841,828) .
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Frequently Asked Questions on HCF of 3841, 828 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 3841, 828?
Answer: HCF of 3841, 828 is 23 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3841, 828 using Euclid's Algorithm?
Answer: For arbitrary numbers 3841, 828 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.