Highest Common Factor of 3923, 4171 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 3923, 4171 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3923, 4171 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 3923, 4171 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 3923, 4171 is 1.
HCF(3923, 4171) = 1
HCF of 3923, 4171 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3923, 4171 is 1.
Highest Common Factor of 3923,4171 is 1
Step 1: Since 4171 > 3923, we apply the division lemma to 4171 and 3923, to get
4171 = 3923 x 1 + 248
Step 2: Since the reminder 3923 ≠ 0, we apply division lemma to 248 and 3923, to get
3923 = 248 x 15 + 203
Step 3: We consider the new divisor 248 and the new remainder 203, and apply the division lemma to get
248 = 203 x 1 + 45
We consider the new divisor 203 and the new remainder 45,and apply the division lemma to get
203 = 45 x 4 + 23
We consider the new divisor 45 and the new remainder 23,and apply the division lemma to get
45 = 23 x 1 + 22
We consider the new divisor 23 and the new remainder 22,and apply the division lemma to get
23 = 22 x 1 + 1
We consider the new divisor 22 and the new remainder 1,and apply the division lemma to get
22 = 1 x 22 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3923 and 4171 is 1
Notice that 1 = HCF(22,1) = HCF(23,22) = HCF(45,23) = HCF(203,45) = HCF(248,203) = HCF(3923,248) = HCF(4171,3923) .
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Frequently Asked Questions on HCF of 3923, 4171 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 3923, 4171?
Answer: HCF of 3923, 4171 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3923, 4171 using Euclid's Algorithm?
Answer: For arbitrary numbers 3923, 4171 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.