Highest Common Factor of 545, 3467 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 545, 3467 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 545, 3467 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 545, 3467 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 545, 3467 is 1.
HCF(545, 3467) = 1
HCF of 545, 3467 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 545, 3467 is 1.
Highest Common Factor of 545,3467 is 1
Step 1: Since 3467 > 545, we apply the division lemma to 3467 and 545, to get
3467 = 545 x 6 + 197
Step 2: Since the reminder 545 ≠ 0, we apply division lemma to 197 and 545, to get
545 = 197 x 2 + 151
Step 3: We consider the new divisor 197 and the new remainder 151, and apply the division lemma to get
197 = 151 x 1 + 46
We consider the new divisor 151 and the new remainder 46,and apply the division lemma to get
151 = 46 x 3 + 13
We consider the new divisor 46 and the new remainder 13,and apply the division lemma to get
46 = 13 x 3 + 7
We consider the new divisor 13 and the new remainder 7,and apply the division lemma to get
13 = 7 x 1 + 6
We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get
7 = 6 x 1 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 545 and 3467 is 1
Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(13,7) = HCF(46,13) = HCF(151,46) = HCF(197,151) = HCF(545,197) = HCF(3467,545) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 545, 3467 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 545, 3467?
Answer: HCF of 545, 3467 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 545, 3467 using Euclid's Algorithm?
Answer: For arbitrary numbers 545, 3467 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.