Highest Common Factor of 3711, 8119 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 3711, 8119 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3711, 8119 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 3711, 8119 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 3711, 8119 is 1.
HCF(3711, 8119) = 1
HCF of 3711, 8119 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3711, 8119 is 1.
Highest Common Factor of 3711,8119 is 1
Step 1: Since 8119 > 3711, we apply the division lemma to 8119 and 3711, to get
8119 = 3711 x 2 + 697
Step 2: Since the reminder 3711 ≠ 0, we apply division lemma to 697 and 3711, to get
3711 = 697 x 5 + 226
Step 3: We consider the new divisor 697 and the new remainder 226, and apply the division lemma to get
697 = 226 x 3 + 19
We consider the new divisor 226 and the new remainder 19,and apply the division lemma to get
226 = 19 x 11 + 17
We consider the new divisor 19 and the new remainder 17,and apply the division lemma to get
19 = 17 x 1 + 2
We consider the new divisor 17 and the new remainder 2,and apply the division lemma to get
17 = 2 x 8 + 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 3711 and 8119 is 1
Notice that 1 = HCF(2,1) = HCF(17,2) = HCF(19,17) = HCF(226,19) = HCF(697,226) = HCF(3711,697) = HCF(8119,3711) .
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Frequently Asked Questions on HCF of 3711, 8119 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 3711, 8119?
Answer: HCF of 3711, 8119 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3711, 8119 using Euclid's Algorithm?
Answer: For arbitrary numbers 3711, 8119 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.