Highest Common Factor of 8284, 2848 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 8284, 2848 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 8284, 2848 is 4 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 8284, 2848 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 8284, 2848 is 4.
HCF(8284, 2848) = 4
HCF of 8284, 2848 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8284, 2848 is 4.
Highest Common Factor of 8284,2848 is 4
Step 1: Since 8284 > 2848, we apply the division lemma to 8284 and 2848, to get
8284 = 2848 x 2 + 2588
Step 2: Since the reminder 2848 ≠ 0, we apply division lemma to 2588 and 2848, to get
2848 = 2588 x 1 + 260
Step 3: We consider the new divisor 2588 and the new remainder 260, and apply the division lemma to get
2588 = 260 x 9 + 248
We consider the new divisor 260 and the new remainder 248,and apply the division lemma to get
260 = 248 x 1 + 12
We consider the new divisor 248 and the new remainder 12,and apply the division lemma to get
248 = 12 x 20 + 8
We consider the new divisor 12 and the new remainder 8,and apply the division lemma to get
12 = 8 x 1 + 4
We consider the new divisor 8 and the new remainder 4,and apply the division lemma to get
8 = 4 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 8284 and 2848 is 4
Notice that 4 = HCF(8,4) = HCF(12,8) = HCF(248,12) = HCF(260,248) = HCF(2588,260) = HCF(2848,2588) = HCF(8284,2848) .
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Frequently Asked Questions on HCF of 8284, 2848 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 8284, 2848?
Answer: HCF of 8284, 2848 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8284, 2848 using Euclid's Algorithm?
Answer: For arbitrary numbers 8284, 2848 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.