Highest Common Factor of 4161, 5452 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 4161, 5452 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4161, 5452 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 4161, 5452 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 4161, 5452 is 1.
HCF(4161, 5452) = 1
HCF of 4161, 5452 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4161, 5452 is 1.
Highest Common Factor of 4161,5452 is 1
Step 1: Since 5452 > 4161, we apply the division lemma to 5452 and 4161, to get
5452 = 4161 x 1 + 1291
Step 2: Since the reminder 4161 ≠ 0, we apply division lemma to 1291 and 4161, to get
4161 = 1291 x 3 + 288
Step 3: We consider the new divisor 1291 and the new remainder 288, and apply the division lemma to get
1291 = 288 x 4 + 139
We consider the new divisor 288 and the new remainder 139,and apply the division lemma to get
288 = 139 x 2 + 10
We consider the new divisor 139 and the new remainder 10,and apply the division lemma to get
139 = 10 x 13 + 9
We consider the new divisor 10 and the new remainder 9,and apply the division lemma to get
10 = 9 x 1 + 1
We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get
9 = 1 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4161 and 5452 is 1
Notice that 1 = HCF(9,1) = HCF(10,9) = HCF(139,10) = HCF(288,139) = HCF(1291,288) = HCF(4161,1291) = HCF(5452,4161) .
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Frequently Asked Questions on HCF of 4161, 5452 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 4161, 5452?
Answer: HCF of 4161, 5452 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4161, 5452 using Euclid's Algorithm?
Answer: For arbitrary numbers 4161, 5452 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.