Highest Common Factor of 9201, 4157, 54459 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 9201, 4157, 54459 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9201, 4157, 54459 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 9201, 4157, 54459 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 9201, 4157, 54459 is 1.
HCF(9201, 4157, 54459) = 1
HCF of 9201, 4157, 54459 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9201, 4157, 54459 is 1.
Highest Common Factor of 9201,4157,54459 is 1
Step 1: Since 9201 > 4157, we apply the division lemma to 9201 and 4157, to get
9201 = 4157 x 2 + 887
Step 2: Since the reminder 4157 ≠ 0, we apply division lemma to 887 and 4157, to get
4157 = 887 x 4 + 609
Step 3: We consider the new divisor 887 and the new remainder 609, and apply the division lemma to get
887 = 609 x 1 + 278
We consider the new divisor 609 and the new remainder 278,and apply the division lemma to get
609 = 278 x 2 + 53
We consider the new divisor 278 and the new remainder 53,and apply the division lemma to get
278 = 53 x 5 + 13
We consider the new divisor 53 and the new remainder 13,and apply the division lemma to get
53 = 13 x 4 + 1
We consider the new divisor 13 and the new remainder 1,and apply the division lemma to get
13 = 1 x 13 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9201 and 4157 is 1
Notice that 1 = HCF(13,1) = HCF(53,13) = HCF(278,53) = HCF(609,278) = HCF(887,609) = HCF(4157,887) = HCF(9201,4157) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 54459 > 1, we apply the division lemma to 54459 and 1, to get
54459 = 1 x 54459 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 54459 is 1
Notice that 1 = HCF(54459,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 9201, 4157, 54459 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 9201, 4157, 54459?
Answer: HCF of 9201, 4157, 54459 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9201, 4157, 54459 using Euclid's Algorithm?
Answer: For arbitrary numbers 9201, 4157, 54459 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
