Highest Common Factor of 235, 865 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 235, 865 i.e. 5 the largest integer that leaves a remainder zero for all numbers.
HCF of 235, 865 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 235, 865 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 235, 865 is 5.
HCF(235, 865) = 5
HCF of 235, 865 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 235, 865 is 5.
Highest Common Factor of 235,865 is 5
Step 1: Since 865 > 235, we apply the division lemma to 865 and 235, to get
865 = 235 x 3 + 160
Step 2: Since the reminder 235 ≠ 0, we apply division lemma to 160 and 235, to get
235 = 160 x 1 + 75
Step 3: We consider the new divisor 160 and the new remainder 75, and apply the division lemma to get
160 = 75 x 2 + 10
We consider the new divisor 75 and the new remainder 10,and apply the division lemma to get
75 = 10 x 7 + 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 235 and 865 is 5
Notice that 5 = HCF(10,5) = HCF(75,10) = HCF(160,75) = HCF(235,160) = HCF(865,235) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 235, 865 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 235, 865?
Answer: HCF of 235, 865 is 5 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 235, 865 using Euclid's Algorithm?
Answer: For arbitrary numbers 235, 865 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.