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 8283, 5309 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8283, 5309 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 8283, 5309 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 8283, 5309 is 1.
HCF(8283, 5309) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8283, 5309 is 1.
Step 1: Since 8283 > 5309, we apply the division lemma to 8283 and 5309, to get
8283 = 5309 x 1 + 2974
Step 2: Since the reminder 5309 ≠ 0, we apply division lemma to 2974 and 5309, to get
5309 = 2974 x 1 + 2335
Step 3: We consider the new divisor 2974 and the new remainder 2335, and apply the division lemma to get
2974 = 2335 x 1 + 639
We consider the new divisor 2335 and the new remainder 639,and apply the division lemma to get
2335 = 639 x 3 + 418
We consider the new divisor 639 and the new remainder 418,and apply the division lemma to get
639 = 418 x 1 + 221
We consider the new divisor 418 and the new remainder 221,and apply the division lemma to get
418 = 221 x 1 + 197
We consider the new divisor 221 and the new remainder 197,and apply the division lemma to get
221 = 197 x 1 + 24
We consider the new divisor 197 and the new remainder 24,and apply the division lemma to get
197 = 24 x 8 + 5
We consider the new divisor 24 and the new remainder 5,and apply the division lemma to get
24 = 5 x 4 + 4
We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get
5 = 4 x 1 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8283 and 5309 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(24,5) = HCF(197,24) = HCF(221,197) = HCF(418,221) = HCF(639,418) = HCF(2335,639) = HCF(2974,2335) = HCF(5309,2974) = HCF(8283,5309) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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 8283, 5309?
Answer: HCF of 8283, 5309 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8283, 5309 using Euclid's Algorithm?
Answer: For arbitrary numbers 8283, 5309 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.