Highest Common Factor of 9089, 1793 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 9089, 1793 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9089, 1793 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 9089, 1793 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 9089, 1793 is 1.
HCF(9089, 1793) = 1
HCF of 9089, 1793 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9089, 1793 is 1.
Highest Common Factor of 9089,1793 is 1
Step 1: Since 9089 > 1793, we apply the division lemma to 9089 and 1793, to get
9089 = 1793 x 5 + 124
Step 2: Since the reminder 1793 ≠ 0, we apply division lemma to 124 and 1793, to get
1793 = 124 x 14 + 57
Step 3: We consider the new divisor 124 and the new remainder 57, and apply the division lemma to get
124 = 57 x 2 + 10
We consider the new divisor 57 and the new remainder 10,and apply the division lemma to get
57 = 10 x 5 + 7
We consider the new divisor 10 and the new remainder 7,and apply the division lemma to get
10 = 7 x 1 + 3
We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get
7 = 3 x 2 + 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 9089 and 1793 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(10,7) = HCF(57,10) = HCF(124,57) = HCF(1793,124) = HCF(9089,1793) .
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Frequently Asked Questions on HCF of 9089, 1793 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 9089, 1793?
Answer: HCF of 9089, 1793 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9089, 1793 using Euclid's Algorithm?
Answer: For arbitrary numbers 9089, 1793 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.