Highest Common Factor of 233, 1765 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 233, 1765 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 233, 1765 is 1 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 233, 1765 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 233, 1765 is 1.
HCF(233, 1765) = 1
HCF of 233, 1765 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 233, 1765 is 1.
Highest Common Factor of 233,1765 is 1
Step 1: Since 1765 > 233, we apply the division lemma to 1765 and 233, to get
1765 = 233 x 7 + 134
Step 2: Since the reminder 233 ≠ 0, we apply division lemma to 134 and 233, to get
233 = 134 x 1 + 99
Step 3: We consider the new divisor 134 and the new remainder 99, and apply the division lemma to get
134 = 99 x 1 + 35
We consider the new divisor 99 and the new remainder 35,and apply the division lemma to get
99 = 35 x 2 + 29
We consider the new divisor 35 and the new remainder 29,and apply the division lemma to get
35 = 29 x 1 + 6
We consider the new divisor 29 and the new remainder 6,and apply the division lemma to get
29 = 6 x 4 + 5
We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get
6 = 5 x 1 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 233 and 1765 is 1
Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(29,6) = HCF(35,29) = HCF(99,35) = HCF(134,99) = HCF(233,134) = HCF(1765,233) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 233, 1765 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 233, 1765?
Answer: HCF of 233, 1765 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 233, 1765 using Euclid's Algorithm?
Answer: For arbitrary numbers 233, 1765 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.