Highest Common Factor of 225, 384 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 225, 384 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 225, 384 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 225, 384 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 225, 384 is 3.
HCF(225, 384) = 3
HCF of 225, 384 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 225, 384 is 3.
Highest Common Factor of 225,384 is 3
Step 1: Since 384 > 225, we apply the division lemma to 384 and 225, to get
384 = 225 x 1 + 159
Step 2: Since the reminder 225 ≠ 0, we apply division lemma to 159 and 225, to get
225 = 159 x 1 + 66
Step 3: We consider the new divisor 159 and the new remainder 66, and apply the division lemma to get
159 = 66 x 2 + 27
We consider the new divisor 66 and the new remainder 27,and apply the division lemma to get
66 = 27 x 2 + 12
We consider the new divisor 27 and the new remainder 12,and apply the division lemma to get
27 = 12 x 2 + 3
We consider the new divisor 12 and the new remainder 3,and apply the division lemma to get
12 = 3 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 225 and 384 is 3
Notice that 3 = HCF(12,3) = HCF(27,12) = HCF(66,27) = HCF(159,66) = HCF(225,159) = HCF(384,225) .
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Frequently Asked Questions on HCF of 225, 384 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 225, 384?
Answer: HCF of 225, 384 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 225, 384 using Euclid's Algorithm?
Answer: For arbitrary numbers 225, 384 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.