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 466, 7296 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 466, 7296 is 2 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 466, 7296 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 466, 7296 is 2.
HCF(466, 7296) = 2
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 466, 7296 is 2.
Step 1: Since 7296 > 466, we apply the division lemma to 7296 and 466, to get
7296 = 466 x 15 + 306
Step 2: Since the reminder 466 ≠ 0, we apply division lemma to 306 and 466, to get
466 = 306 x 1 + 160
Step 3: We consider the new divisor 306 and the new remainder 160, and apply the division lemma to get
306 = 160 x 1 + 146
We consider the new divisor 160 and the new remainder 146,and apply the division lemma to get
160 = 146 x 1 + 14
We consider the new divisor 146 and the new remainder 14,and apply the division lemma to get
146 = 14 x 10 + 6
We consider the new divisor 14 and the new remainder 6,and apply the division lemma to get
14 = 6 x 2 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 466 and 7296 is 2
Notice that 2 = HCF(6,2) = HCF(14,6) = HCF(146,14) = HCF(160,146) = HCF(306,160) = HCF(466,306) = HCF(7296,466) .
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 466, 7296?
Answer: HCF of 466, 7296 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 466, 7296 using Euclid's Algorithm?
Answer: For arbitrary numbers 466, 7296 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.