Highest Common Factor of 505, 235 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 505, 235 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 505, 235 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 505, 235 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 505, 235 is 5.
HCF(505, 235) = 5
HCF of 505, 235 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 505, 235 is 5.
Highest Common Factor of 505,235 is 5
Step 1: Since 505 > 235, we apply the division lemma to 505 and 235, to get
505 = 235 x 2 + 35
Step 2: Since the reminder 235 ≠ 0, we apply division lemma to 35 and 235, to get
235 = 35 x 6 + 25
Step 3: We consider the new divisor 35 and the new remainder 25, and apply the division lemma to get
35 = 25 x 1 + 10
We consider the new divisor 25 and the new remainder 10,and apply the division lemma to get
25 = 10 x 2 + 5
We consider the new divisor 10 and the new remainder 5,and apply the division lemma to get
10 = 5 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 505 and 235 is 5
Notice that 5 = HCF(10,5) = HCF(25,10) = HCF(35,25) = HCF(235,35) = HCF(505,235) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 505, 235 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 505, 235?
Answer: HCF of 505, 235 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 505, 235 using Euclid's Algorithm?
Answer: For arbitrary numbers 505, 235 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.