Highest Common Factor of 3305, 3753 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 3305, 3753 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3305, 3753 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 3305, 3753 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 3305, 3753 is 1.
HCF(3305, 3753) = 1
HCF of 3305, 3753 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3305, 3753 is 1.
Highest Common Factor of 3305,3753 is 1
Step 1: Since 3753 > 3305, we apply the division lemma to 3753 and 3305, to get
3753 = 3305 x 1 + 448
Step 2: Since the reminder 3305 ≠ 0, we apply division lemma to 448 and 3305, to get
3305 = 448 x 7 + 169
Step 3: We consider the new divisor 448 and the new remainder 169, and apply the division lemma to get
448 = 169 x 2 + 110
We consider the new divisor 169 and the new remainder 110,and apply the division lemma to get
169 = 110 x 1 + 59
We consider the new divisor 110 and the new remainder 59,and apply the division lemma to get
110 = 59 x 1 + 51
We consider the new divisor 59 and the new remainder 51,and apply the division lemma to get
59 = 51 x 1 + 8
We consider the new divisor 51 and the new remainder 8,and apply the division lemma to get
51 = 8 x 6 + 3
We consider the new divisor 8 and the new remainder 3,and apply the division lemma to get
8 = 3 x 2 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3305 and 3753 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(51,8) = HCF(59,51) = HCF(110,59) = HCF(169,110) = HCF(448,169) = HCF(3305,448) = HCF(3753,3305) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 3305, 3753 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 3305, 3753?
Answer: HCF of 3305, 3753 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3305, 3753 using Euclid's Algorithm?
Answer: For arbitrary numbers 3305, 3753 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
