Highest Common Factor of 8549, 9472, 39815 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 8549, 9472, 39815 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8549, 9472, 39815 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 8549, 9472, 39815 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 8549, 9472, 39815 is 1.
HCF(8549, 9472, 39815) = 1
HCF of 8549, 9472, 39815 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8549, 9472, 39815 is 1.
Highest Common Factor of 8549,9472,39815 is 1
Step 1: Since 9472 > 8549, we apply the division lemma to 9472 and 8549, to get
9472 = 8549 x 1 + 923
Step 2: Since the reminder 8549 ≠ 0, we apply division lemma to 923 and 8549, to get
8549 = 923 x 9 + 242
Step 3: We consider the new divisor 923 and the new remainder 242, and apply the division lemma to get
923 = 242 x 3 + 197
We consider the new divisor 242 and the new remainder 197,and apply the division lemma to get
242 = 197 x 1 + 45
We consider the new divisor 197 and the new remainder 45,and apply the division lemma to get
197 = 45 x 4 + 17
We consider the new divisor 45 and the new remainder 17,and apply the division lemma to get
45 = 17 x 2 + 11
We consider the new divisor 17 and the new remainder 11,and apply the division lemma to get
17 = 11 x 1 + 6
We consider the new divisor 11 and the new remainder 6,and apply the division lemma to get
11 = 6 x 1 + 5
We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get
6 = 5 x 1 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8549 and 9472 is 1
Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(11,6) = HCF(17,11) = HCF(45,17) = HCF(197,45) = HCF(242,197) = HCF(923,242) = HCF(8549,923) = HCF(9472,8549) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 39815 > 1, we apply the division lemma to 39815 and 1, to get
39815 = 1 x 39815 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 39815 is 1
Notice that 1 = HCF(39815,1) .
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Frequently Asked Questions on HCF of 8549, 9472, 39815 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 8549, 9472, 39815?
Answer: HCF of 8549, 9472, 39815 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8549, 9472, 39815 using Euclid's Algorithm?
Answer: For arbitrary numbers 8549, 9472, 39815 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
