Highest Common Factor of 809, 5343, 4944 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 809, 5343, 4944 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 809, 5343, 4944 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 809, 5343, 4944 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 809, 5343, 4944 is 1.
HCF(809, 5343, 4944) = 1
HCF of 809, 5343, 4944 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 809, 5343, 4944 is 1.
Highest Common Factor of 809,5343,4944 is 1
Step 1: Since 5343 > 809, we apply the division lemma to 5343 and 809, to get
5343 = 809 x 6 + 489
Step 2: Since the reminder 809 ≠ 0, we apply division lemma to 489 and 809, to get
809 = 489 x 1 + 320
Step 3: We consider the new divisor 489 and the new remainder 320, and apply the division lemma to get
489 = 320 x 1 + 169
We consider the new divisor 320 and the new remainder 169,and apply the division lemma to get
320 = 169 x 1 + 151
We consider the new divisor 169 and the new remainder 151,and apply the division lemma to get
169 = 151 x 1 + 18
We consider the new divisor 151 and the new remainder 18,and apply the division lemma to get
151 = 18 x 8 + 7
We consider the new divisor 18 and the new remainder 7,and apply the division lemma to get
18 = 7 x 2 + 4
We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get
7 = 4 x 1 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 809 and 5343 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(18,7) = HCF(151,18) = HCF(169,151) = HCF(320,169) = HCF(489,320) = HCF(809,489) = HCF(5343,809) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 4944 > 1, we apply the division lemma to 4944 and 1, to get
4944 = 1 x 4944 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 4944 is 1
Notice that 1 = HCF(4944,1) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 809, 5343, 4944 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 809, 5343, 4944?
Answer: HCF of 809, 5343, 4944 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 809, 5343, 4944 using Euclid's Algorithm?
Answer: For arbitrary numbers 809, 5343, 4944 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
