Highest Common Factor of 9047, 8289, 13552 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 9047, 8289, 13552 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9047, 8289, 13552 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 9047, 8289, 13552 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 9047, 8289, 13552 is 1.
HCF(9047, 8289, 13552) = 1
HCF of 9047, 8289, 13552 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9047, 8289, 13552 is 1.
Highest Common Factor of 9047,8289,13552 is 1
Step 1: Since 9047 > 8289, we apply the division lemma to 9047 and 8289, to get
9047 = 8289 x 1 + 758
Step 2: Since the reminder 8289 ≠ 0, we apply division lemma to 758 and 8289, to get
8289 = 758 x 10 + 709
Step 3: We consider the new divisor 758 and the new remainder 709, and apply the division lemma to get
758 = 709 x 1 + 49
We consider the new divisor 709 and the new remainder 49,and apply the division lemma to get
709 = 49 x 14 + 23
We consider the new divisor 49 and the new remainder 23,and apply the division lemma to get
49 = 23 x 2 + 3
We consider the new divisor 23 and the new remainder 3,and apply the division lemma to get
23 = 3 x 7 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9047 and 8289 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(23,3) = HCF(49,23) = HCF(709,49) = HCF(758,709) = HCF(8289,758) = HCF(9047,8289) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 13552 > 1, we apply the division lemma to 13552 and 1, to get
13552 = 1 x 13552 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 13552 is 1
Notice that 1 = HCF(13552,1) .
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Frequently Asked Questions on HCF of 9047, 8289, 13552 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 9047, 8289, 13552?
Answer: HCF of 9047, 8289, 13552 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9047, 8289, 13552 using Euclid's Algorithm?
Answer: For arbitrary numbers 9047, 8289, 13552 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.