Highest Common Factor of 8333, 5342 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 8333, 5342 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8333, 5342 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 8333, 5342 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 8333, 5342 is 1.
HCF(8333, 5342) = 1
HCF of 8333, 5342 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8333, 5342 is 1.
Highest Common Factor of 8333,5342 is 1
Step 1: Since 8333 > 5342, we apply the division lemma to 8333 and 5342, to get
8333 = 5342 x 1 + 2991
Step 2: Since the reminder 5342 ≠ 0, we apply division lemma to 2991 and 5342, to get
5342 = 2991 x 1 + 2351
Step 3: We consider the new divisor 2991 and the new remainder 2351, and apply the division lemma to get
2991 = 2351 x 1 + 640
We consider the new divisor 2351 and the new remainder 640,and apply the division lemma to get
2351 = 640 x 3 + 431
We consider the new divisor 640 and the new remainder 431,and apply the division lemma to get
640 = 431 x 1 + 209
We consider the new divisor 431 and the new remainder 209,and apply the division lemma to get
431 = 209 x 2 + 13
We consider the new divisor 209 and the new remainder 13,and apply the division lemma to get
209 = 13 x 16 + 1
We consider the new divisor 13 and the new remainder 1,and apply the division lemma to get
13 = 1 x 13 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8333 and 5342 is 1
Notice that 1 = HCF(13,1) = HCF(209,13) = HCF(431,209) = HCF(640,431) = HCF(2351,640) = HCF(2991,2351) = HCF(5342,2991) = HCF(8333,5342) .
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Frequently Asked Questions on HCF of 8333, 5342 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 8333, 5342?
Answer: HCF of 8333, 5342 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8333, 5342 using Euclid's Algorithm?
Answer: For arbitrary numbers 8333, 5342 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.