Highest Common Factor of 229, 6475 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 229, 6475 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 229, 6475 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 229, 6475 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 229, 6475 is 1.
HCF(229, 6475) = 1
HCF of 229, 6475 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 229, 6475 is 1.
Highest Common Factor of 229,6475 is 1
Step 1: Since 6475 > 229, we apply the division lemma to 6475 and 229, to get
6475 = 229 x 28 + 63
Step 2: Since the reminder 229 ≠ 0, we apply division lemma to 63 and 229, to get
229 = 63 x 3 + 40
Step 3: We consider the new divisor 63 and the new remainder 40, and apply the division lemma to get
63 = 40 x 1 + 23
We consider the new divisor 40 and the new remainder 23,and apply the division lemma to get
40 = 23 x 1 + 17
We consider the new divisor 23 and the new remainder 17,and apply the division lemma to get
23 = 17 x 1 + 6
We consider the new divisor 17 and the new remainder 6,and apply the division lemma to get
17 = 6 x 2 + 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 229 and 6475 is 1
Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(17,6) = HCF(23,17) = HCF(40,23) = HCF(63,40) = HCF(229,63) = HCF(6475,229) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 229, 6475 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 229, 6475?
Answer: HCF of 229, 6475 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 229, 6475 using Euclid's Algorithm?
Answer: For arbitrary numbers 229, 6475 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.