Highest Common Factor of 385, 405 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 385, 405 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 385, 405 is 5 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 385, 405 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 385, 405 is 5.
HCF(385, 405) = 5
HCF of 385, 405 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 385, 405 is 5.
Highest Common Factor of 385,405 is 5
Step 1: Since 405 > 385, we apply the division lemma to 405 and 385, to get
405 = 385 x 1 + 20
Step 2: Since the reminder 385 ≠ 0, we apply division lemma to 20 and 385, to get
385 = 20 x 19 + 5
Step 3: We consider the new divisor 20 and the new remainder 5, and apply the division lemma to get
20 = 5 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 385 and 405 is 5
Notice that 5 = HCF(20,5) = HCF(385,20) = HCF(405,385) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 385, 405 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 385, 405?
Answer: HCF of 385, 405 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 385, 405 using Euclid's Algorithm?
Answer: For arbitrary numbers 385, 405 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.