Highest Common Factor of 3729, 1679 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 3729, 1679 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3729, 1679 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 3729, 1679 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 3729, 1679 is 1.
HCF(3729, 1679) = 1
HCF of 3729, 1679 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3729, 1679 is 1.
Highest Common Factor of 3729,1679 is 1
Step 1: Since 3729 > 1679, we apply the division lemma to 3729 and 1679, to get
3729 = 1679 x 2 + 371
Step 2: Since the reminder 1679 ≠ 0, we apply division lemma to 371 and 1679, to get
1679 = 371 x 4 + 195
Step 3: We consider the new divisor 371 and the new remainder 195, and apply the division lemma to get
371 = 195 x 1 + 176
We consider the new divisor 195 and the new remainder 176,and apply the division lemma to get
195 = 176 x 1 + 19
We consider the new divisor 176 and the new remainder 19,and apply the division lemma to get
176 = 19 x 9 + 5
We consider the new divisor 19 and the new remainder 5,and apply the division lemma to get
19 = 5 x 3 + 4
We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get
5 = 4 x 1 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3729 and 1679 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(19,5) = HCF(176,19) = HCF(195,176) = HCF(371,195) = HCF(1679,371) = HCF(3729,1679) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 3729, 1679 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 3729, 1679?
Answer: HCF of 3729, 1679 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3729, 1679 using Euclid's Algorithm?
Answer: For arbitrary numbers 3729, 1679 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.