Highest Common Factor of 2292, 8163 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 2292, 8163 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 2292, 8163 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 2292, 8163 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 2292, 8163 is 3.
HCF(2292, 8163) = 3
HCF of 2292, 8163 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2292, 8163 is 3.
Highest Common Factor of 2292,8163 is 3
Step 1: Since 8163 > 2292, we apply the division lemma to 8163 and 2292, to get
8163 = 2292 x 3 + 1287
Step 2: Since the reminder 2292 ≠ 0, we apply division lemma to 1287 and 2292, to get
2292 = 1287 x 1 + 1005
Step 3: We consider the new divisor 1287 and the new remainder 1005, and apply the division lemma to get
1287 = 1005 x 1 + 282
We consider the new divisor 1005 and the new remainder 282,and apply the division lemma to get
1005 = 282 x 3 + 159
We consider the new divisor 282 and the new remainder 159,and apply the division lemma to get
282 = 159 x 1 + 123
We consider the new divisor 159 and the new remainder 123,and apply the division lemma to get
159 = 123 x 1 + 36
We consider the new divisor 123 and the new remainder 36,and apply the division lemma to get
123 = 36 x 3 + 15
We consider the new divisor 36 and the new remainder 15,and apply the division lemma to get
36 = 15 x 2 + 6
We consider the new divisor 15 and the new remainder 6,and apply the division lemma to get
15 = 6 x 2 + 3
We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get
6 = 3 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 2292 and 8163 is 3
Notice that 3 = HCF(6,3) = HCF(15,6) = HCF(36,15) = HCF(123,36) = HCF(159,123) = HCF(282,159) = HCF(1005,282) = HCF(1287,1005) = HCF(2292,1287) = HCF(8163,2292) .
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Frequently Asked Questions on HCF of 2292, 8163 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 2292, 8163?
Answer: HCF of 2292, 8163 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2292, 8163 using Euclid's Algorithm?
Answer: For arbitrary numbers 2292, 8163 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.