Highest Common Factor of 3719, 8291 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 3719, 8291 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3719, 8291 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 3719, 8291 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 3719, 8291 is 1.
HCF(3719, 8291) = 1
HCF of 3719, 8291 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3719, 8291 is 1.
Highest Common Factor of 3719,8291 is 1
Step 1: Since 8291 > 3719, we apply the division lemma to 8291 and 3719, to get
8291 = 3719 x 2 + 853
Step 2: Since the reminder 3719 ≠ 0, we apply division lemma to 853 and 3719, to get
3719 = 853 x 4 + 307
Step 3: We consider the new divisor 853 and the new remainder 307, and apply the division lemma to get
853 = 307 x 2 + 239
We consider the new divisor 307 and the new remainder 239,and apply the division lemma to get
307 = 239 x 1 + 68
We consider the new divisor 239 and the new remainder 68,and apply the division lemma to get
239 = 68 x 3 + 35
We consider the new divisor 68 and the new remainder 35,and apply the division lemma to get
68 = 35 x 1 + 33
We consider the new divisor 35 and the new remainder 33,and apply the division lemma to get
35 = 33 x 1 + 2
We consider the new divisor 33 and the new remainder 2,and apply the division lemma to get
33 = 2 x 16 + 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 3719 and 8291 is 1
Notice that 1 = HCF(2,1) = HCF(33,2) = HCF(35,33) = HCF(68,35) = HCF(239,68) = HCF(307,239) = HCF(853,307) = HCF(3719,853) = HCF(8291,3719) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 3719, 8291 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 3719, 8291?
Answer: HCF of 3719, 8291 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3719, 8291 using Euclid's Algorithm?
Answer: For arbitrary numbers 3719, 8291 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.