Highest Common Factor of 813, 288 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 813, 288 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 813, 288 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 813, 288 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 813, 288 is 3.
HCF(813, 288) = 3
HCF of 813, 288 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 813, 288 is 3.
Highest Common Factor of 813,288 is 3
Step 1: Since 813 > 288, we apply the division lemma to 813 and 288, to get
813 = 288 x 2 + 237
Step 2: Since the reminder 288 ≠ 0, we apply division lemma to 237 and 288, to get
288 = 237 x 1 + 51
Step 3: We consider the new divisor 237 and the new remainder 51, and apply the division lemma to get
237 = 51 x 4 + 33
We consider the new divisor 51 and the new remainder 33,and apply the division lemma to get
51 = 33 x 1 + 18
We consider the new divisor 33 and the new remainder 18,and apply the division lemma to get
33 = 18 x 1 + 15
We consider the new divisor 18 and the new remainder 15,and apply the division lemma to get
18 = 15 x 1 + 3
We consider the new divisor 15 and the new remainder 3,and apply the division lemma to get
15 = 3 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 813 and 288 is 3
Notice that 3 = HCF(15,3) = HCF(18,15) = HCF(33,18) = HCF(51,33) = HCF(237,51) = HCF(288,237) = HCF(813,288) .
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Frequently Asked Questions on HCF of 813, 288 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 813, 288?
Answer: HCF of 813, 288 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 813, 288 using Euclid's Algorithm?
Answer: For arbitrary numbers 813, 288 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.