Highest Common Factor of 5304, 8283 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 5304, 8283 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 5304, 8283 is 3 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 5304, 8283 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 5304, 8283 is 3.
HCF(5304, 8283) = 3
HCF of 5304, 8283 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5304, 8283 is 3.
Highest Common Factor of 5304,8283 is 3
Step 1: Since 8283 > 5304, we apply the division lemma to 8283 and 5304, to get
8283 = 5304 x 1 + 2979
Step 2: Since the reminder 5304 ≠ 0, we apply division lemma to 2979 and 5304, to get
5304 = 2979 x 1 + 2325
Step 3: We consider the new divisor 2979 and the new remainder 2325, and apply the division lemma to get
2979 = 2325 x 1 + 654
We consider the new divisor 2325 and the new remainder 654,and apply the division lemma to get
2325 = 654 x 3 + 363
We consider the new divisor 654 and the new remainder 363,and apply the division lemma to get
654 = 363 x 1 + 291
We consider the new divisor 363 and the new remainder 291,and apply the division lemma to get
363 = 291 x 1 + 72
We consider the new divisor 291 and the new remainder 72,and apply the division lemma to get
291 = 72 x 4 + 3
We consider the new divisor 72 and the new remainder 3,and apply the division lemma to get
72 = 3 x 24 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 5304 and 8283 is 3
Notice that 3 = HCF(72,3) = HCF(291,72) = HCF(363,291) = HCF(654,363) = HCF(2325,654) = HCF(2979,2325) = HCF(5304,2979) = HCF(8283,5304) .
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Frequently Asked Questions on HCF of 5304, 8283 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 5304, 8283?
Answer: HCF of 5304, 8283 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5304, 8283 using Euclid's Algorithm?
Answer: For arbitrary numbers 5304, 8283 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.