Highest Common Factor of 8926, 4573 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 8926, 4573 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8926, 4573 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 8926, 4573 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 8926, 4573 is 1.
HCF(8926, 4573) = 1
HCF of 8926, 4573 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8926, 4573 is 1.
Highest Common Factor of 8926,4573 is 1
Step 1: Since 8926 > 4573, we apply the division lemma to 8926 and 4573, to get
8926 = 4573 x 1 + 4353
Step 2: Since the reminder 4573 ≠ 0, we apply division lemma to 4353 and 4573, to get
4573 = 4353 x 1 + 220
Step 3: We consider the new divisor 4353 and the new remainder 220, and apply the division lemma to get
4353 = 220 x 19 + 173
We consider the new divisor 220 and the new remainder 173,and apply the division lemma to get
220 = 173 x 1 + 47
We consider the new divisor 173 and the new remainder 47,and apply the division lemma to get
173 = 47 x 3 + 32
We consider the new divisor 47 and the new remainder 32,and apply the division lemma to get
47 = 32 x 1 + 15
We consider the new divisor 32 and the new remainder 15,and apply the division lemma to get
32 = 15 x 2 + 2
We consider the new divisor 15 and the new remainder 2,and apply the division lemma to get
15 = 2 x 7 + 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 8926 and 4573 is 1
Notice that 1 = HCF(2,1) = HCF(15,2) = HCF(32,15) = HCF(47,32) = HCF(173,47) = HCF(220,173) = HCF(4353,220) = HCF(4573,4353) = HCF(8926,4573) .
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Frequently Asked Questions on HCF of 8926, 4573 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 8926, 4573?
Answer: HCF of 8926, 4573 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8926, 4573 using Euclid's Algorithm?
Answer: For arbitrary numbers 8926, 4573 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.