Highest Common Factor of 8849, 2284 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 8849, 2284 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8849, 2284 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 8849, 2284 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 8849, 2284 is 1.
HCF(8849, 2284) = 1
HCF of 8849, 2284 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8849, 2284 is 1.
Highest Common Factor of 8849,2284 is 1
Step 1: Since 8849 > 2284, we apply the division lemma to 8849 and 2284, to get
8849 = 2284 x 3 + 1997
Step 2: Since the reminder 2284 ≠ 0, we apply division lemma to 1997 and 2284, to get
2284 = 1997 x 1 + 287
Step 3: We consider the new divisor 1997 and the new remainder 287, and apply the division lemma to get
1997 = 287 x 6 + 275
We consider the new divisor 287 and the new remainder 275,and apply the division lemma to get
287 = 275 x 1 + 12
We consider the new divisor 275 and the new remainder 12,and apply the division lemma to get
275 = 12 x 22 + 11
We consider the new divisor 12 and the new remainder 11,and apply the division lemma to get
12 = 11 x 1 + 1
We consider the new divisor 11 and the new remainder 1,and apply the division lemma to get
11 = 1 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8849 and 2284 is 1
Notice that 1 = HCF(11,1) = HCF(12,11) = HCF(275,12) = HCF(287,275) = HCF(1997,287) = HCF(2284,1997) = HCF(8849,2284) .
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Frequently Asked Questions on HCF of 8849, 2284 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 8849, 2284?
Answer: HCF of 8849, 2284 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8849, 2284 using Euclid's Algorithm?
Answer: For arbitrary numbers 8849, 2284 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
