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 288, 44823 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 288, 44823 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 288, 44823 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 288, 44823 is 3.
HCF(288, 44823) = 3
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 288, 44823 is 3.
Step 1: Since 44823 > 288, we apply the division lemma to 44823 and 288, to get
44823 = 288 x 155 + 183
Step 2: Since the reminder 288 ≠ 0, we apply division lemma to 183 and 288, to get
288 = 183 x 1 + 105
Step 3: We consider the new divisor 183 and the new remainder 105, and apply the division lemma to get
183 = 105 x 1 + 78
We consider the new divisor 105 and the new remainder 78,and apply the division lemma to get
105 = 78 x 1 + 27
We consider the new divisor 78 and the new remainder 27,and apply the division lemma to get
78 = 27 x 2 + 24
We consider the new divisor 27 and the new remainder 24,and apply the division lemma to get
27 = 24 x 1 + 3
We consider the new divisor 24 and the new remainder 3,and apply the division lemma to get
24 = 3 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 288 and 44823 is 3
Notice that 3 = HCF(24,3) = HCF(27,24) = HCF(78,27) = HCF(105,78) = HCF(183,105) = HCF(288,183) = HCF(44823,288) .
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 288, 44823?
Answer: HCF of 288, 44823 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 288, 44823 using Euclid's Algorithm?
Answer: For arbitrary numbers 288, 44823 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.